Translate the figure 5 units left and 5 units up. Plot all of the points of the translated figure. You may click a plotted point to delete it.
Answers
Answer:
Send a proper picture, the fifth point is not visible.
Related Questions
Consider the following equivalent resonance structures for the carbonate anion. Charges have not been shown.
What is the average formal charge on each oxygen atom?
answerable question reference
A -0.33
B -0.67
C -1
D 0.33
E 0.67
Answers
This is an example of resonance where all three structures contribute to the description of the anion and none of them are more accurate than the others. The sum of the formal charges for each of the resonance structures is equal to the net charge of the anion.
The carbonate anion can be represented by three equivalent resonance structures. These structures differ in the placement of electrons and the distribution of formal charges on the individual atoms. Structure B has a formal charge of -0.67 on the oxygen atom and a formal charge of 0.33 on the carbon atom.
Structure D has a formal charge of 0.33 on the oxygen atom and a formal charge of -0.67 on the carbon atom. Structure E has a formal charge of 0.67 on the oxygen atom and a formal charge of -0.67 on the carbon atom.
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a client who weighs 207 lb (94.1 kg) is to receive 1.5 mg/kg of gentamicin sulfate iv three times each day. how many milligrams of medication should the nurse administer for each dose? round to the nearest whole number.
Answers
If a client who weighs 207 lb (94.1 kg) is to receive 1.5 mg/kg of gentamicin sulfate iv three times each day, the nurse should administer 141 mg of gentamicin sulfate for each dose.
To calculate the dose of gentamicin sulfate that the nurse should administer to the client, we need to know the client's weight and the desired dosage, which in this case is 1.5 mg/kg.
First, we need to convert the client's weight from pounds to kilograms. To do this, we divide the client's weight in pounds by 2.205 to get the weight in kilograms:
207 lb ÷ 2.205 = 94.1 kg
Now that we have the client's weight in kilograms, we can calculate the dose of gentamicin sulfate for each administration:
1.5 mg/kg × 94.1 kg = 141.15 mg
We round 141.15 mg to the nearest whole number, which is 141 mg.
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hello! please help with 4-6!
please, i appreciate it!
also, happy ramadan!
Answers
5. Riverside, You can tell without using a calculator because it has more dots.
6. 10-8= 2! Riverside had 2 more total rain fall than Little Falls.
If Planet I is 32. 6 million miles farther from the sun than Planet II, then Planet III is 26. 3 million miles farther from the sun than Planet I. When the total of the distances for these three planets from the sun is 190. 5
million miles, how far away from the sun is Planet II?
Answers
please help!! the answers are not 9, 18, 54, or 6
Answers
Answer:
If x = 3 and y = 2.3^3, then we can evaluate y using exponents:
y = 2.3^3 = 2.3 × 2.3 × 2.3 = 12.167
So, y = 12.167 when x = 3.
Next, if we want to solve the equation y = 2[?] using order of operations, we need to evaluate what is inside the brackets first. We know that y = 12.167, so we can substitute that value into the equation:
y = 2[?]
12.167 = 2[?]
To solve for the missing value inside the brackets, we need to divide both sides by 2:
12.167 ÷ 2 = ?
6.0835 = ?
Therefore, the solution is y = 2(6.0835), or y = 12.167, which we already found earlier.
out of a random sample of 1,000 dutch men, how many would we expect to be taller than 188 cm? (round your answer to the nearest integer.)
Answers
Out of a random sample of 1,000 Dutchmen, we would expect around 63 to be taller than 188 cm. This can be determined by using the standard normal distribution and probability, expecting the 159 Dutchmen to be taller than 188 cm
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. A normal distribution is a bell-shaped curve that is symmetrical around the mean. A normal distribution is used to model various natural phenomena.
Probability is the likelihood or chance of an event occurring. Probability is usually expressed as a fraction, decimal, or percentage. Probability is used in many fields such as mathematics, physics, statistics, and finance.
The given problem can be solved by converting 188 cm to a z-score and then finding the probability using a standard normal distribution table.
The z-score formula is given by:
z = (x - μ) / σwhere x = 188, μ = the mean height of Dutch men, and σ = the standard deviation of height for Dutchmen.
Let's assume that the mean height of Dutchmen is 180 cm and the standard deviation is 8 cm.
z = (188 - 180) / 8
z = 1
Therefore, the z-score for a height of 188 cm is 1.
Using a standard normal distribution table, we can find the probability of a man being taller than 188 cm as approximately 0.1587.
Therefore, in a random sample of 1,000 Dutchmen, we would expect approximately 0.1587 x 1,000 = 158.7 men to be taller than 188 cm. Rounded to the nearest integer, we would expect 159 Dutchmen to be taller than 188 cm.
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7. Diane started to rearrange the following inequalities into slope-
intercept form so she can graph them. The first step is completed for
you. Complete the rest of the steps to get each inequality in slope
intercept form:
Inequality 1:
y-42-2(x + 3)
Step 1: y-4≥-2x-6
Ə
Inequality 2:
4x - 3y -12
<
Step 1: -3y <-4x - 12
J
ә
Answers
The slope-intercept form of the inequality is given as follows:
y-4≥-2x-6y ≥ -2x -6 + 4y ≥ -2x-2.What is the slope-intercept format of a function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.Hence the inequality for this problem is simplified as follows:
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Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures whenever appropriate. (Do this on paper. Your instructor may ask you to turn in this work.)
(a) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.74)
(b) P(0Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1)
(c) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve0)
(d) P(-2.40Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve+2.40)
(e) P(ZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve1.63)
(f) P(-1.74Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZ)
(g) P(-1.4Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.00)
(h) P(1.63Image for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneveZImage for Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wheneve2.50)
Answers
(a) To find P(0 < Z < 2.74), you'll want to look up the z-score for 2.74 in a standard normal table or use a calculator with a built-in normal distribution function. The probability is the area under the curve between 0 and 2.74.
(b) To find P(0 < Z < 1), you'll look up the z-score for 1 in a standard normal table or use a calculator. The probability is the area under the curve between 0 and 1.
(c) To find P(-2.40 < Z < 0), you'll look up the z-score for -2.40 in a standard normal table or use a calculator. The probability is the area under the curve between -2.40 and 0.
(d) To find P(-2.40 < Z < 2.40), you can first calculate the probability for P(-2.40 < Z < 0) and P(0 < Z < 2.40), and then sum the two probabilities.
(e) To find P(Z > 1.63), look up the z-score for 1.63 in a standard normal table or use a calculator. The probability is the area under the curve to the right of 1.63.
(f) To find P(Z < -1.74), look up the z-score for -1.74 in a standard normal table or use a calculator. The probability is the area under the curve to the left of -1.74.
(g) To find P(-1.4 < Z < 2.00), first look up the z-scores for -1.4 and 2.00 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
(h) To find P(1.63 < Z < 2.50), first look up the z-scores for 1.63 and 2.50 in a standard normal table or use a calculator. Subtract the smaller probability from the larger probability to find the area under the curve between these two values.
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if y varies directly as x, and y=7 when x=3, find when x=7
Answers
By definition, direct variation takes the following form:
y=kx
Where k is the proportionality constant.
You can find k given the information in the problem:
7=3k
k=3/7
You can now find y when x=7 as follows:
y=(7*3)
Values can be substituted. Then:
y=(7*7)/3
y=49/3
If y varies directly from x, then the value of y = 49/3 when x = 7.
If y varies directly from x, we can write its relationship in the form of the equation below :
y = m*x
Where m is the slope of the line on the graph.
From the given data:
y=7
x=3,
We can substitute these values in the above equation and find m :
7 = m*3
m = 7/3
So, the equation can also be written as follow:
y = 7/3 x
Finding y when x=7, then substituting the x value in the above equation we get:
y = (7/3)*(7)
y = 49/3
Therefore the value of the y = 49/3.
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Customer three found a hair in their taco! To make up for it, you gave 40% off their order, but they still had to pay a 4.5% sales tax. What is the new cost of the order?
Answers
The new cost of the order is 62.7% of the original price where still 4.5% sales tax had to pay.
What is discount?A discount is a reduction in the price of an item or service, usually expressed as a percentage of the original price.
According to question:Let's assume the original cost of the order was $x.
After the 40% discount, the customer paid 60% of the original cost, which is 0.6x.Then, the 4.5% sales tax is applied to the discounted price of 0.6x, which is 0.045(0.6x) = 0.027x.So the final cost of the order is the discounted price plus the sales tax:0.6x + 0.027x = 0.627x
Therefore, the new cost of the order is 62.7% of the original price.
For example, if the original cost of the order was $20, then the discounted price is $12 (60% of $20), and the sales tax is $0.324 (4.5% of $12). The final cost of the order would be $12.324.
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a pair of headphones originally costs 95$ and is on sale for 70$ what is the percent change in the price of the headphones? be sure to show whether it is a percent increase or decrease.
Answers
The percent decrease in the price of the headphones is 26.32%.
Explanation:
To find the percent change in price, we can use the following formula:
percent change = (new value - old value) / old value * 100%
In this case, the old value is the original price of the headphones, which is $95.
The new value is the sale price, which is $70. Plugging these values into the formula, we get:percent change = (70 - 95) / 95 * 100%
percent change = -25 / 95 * 100%
percent change = -0.2632 * 100%
percent change = -26.32%
The negative sign indicates that the price has decreased, and the magnitude of the percent change is 26.32%, which means that the sale price is 26.32% lower than the original price.
Solve the triangle please help me!!
Answers
The value of the side of the triangles are;
18. 17. 89
19. y = 9. 43, x = 5. 67
How to determine the valuesUsing the Pythagorean theorem stating that the square of the hypotenuse side is equal to the sum of the squares of the other two sides of a triangle.
From the diagram shown, we have;
21² = 11² + x²
find the squares
441 = 121 + x²
collect the like terms
x² = 320
Find the square root
x = 17. 89
To determine the value of y
sin 59 = y/11
y = 11 × 0. 8571
y = 9. 43
To determine the value of x
11² - 9. 43² = x²
x = √32.096
x = 5. 67
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If 250 divided in the ratio 3:7,then smaller part is 25
Answers
If 250 is divided in the ratio 3:7, then 75 is the smaller part. To find the smaller part of 250 divided in the ratio 3:7, you need to first find the total number of parts that the ratio represents.
The total number of parts in the ratio of 3:7 is 3+7=10.
Next, you need to find the value of one part.
To do this, divide the total amount by the total number of parts:
250 ÷ 10 = 25
This means that one part of the ratio is equal to 25.
To find the smaller part, you need to multiply the value of one part (25) by the ratio of 3/10 (which represents the smaller part of the total).
So the smaller part is:
3/10 x 250 = 75
Therefore, the smaller part of 250 divided in the ratio of 3:7 is 75.
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Correct question:
If 250 is divided in the ratio 3:7, what is the smaller part?
Which results only in a horizontal compression of Y by a factor of 6?
Answers
Answer:
Y = 6*y
Step-by-step explanation:
We have Y = b * y by a factor of 6.
That is, b = 6.
now, to find what results only in a horizontal compression of y = b * y by a factor of 6.
By transformation rule, the function would be a horizontal compression f (a * x) if a> 1.
Therefore, knowing the above, the answer would be:
Y = 6 * y
in a large population, 64% of the people have been vaccinated. if 3 people are randomly selected, what is the probability that at least one of them has been vaccinated?
Answers
The probability that at least one of three randomly selected people has been vaccinated in a large population where 64% of people have been vaccinated is 0.784.
The probability that at least one of three randomly selected people has been vaccinated in a large population where 64% of people have been vaccinated can be calculated using the binomial probability formula.
The binomial probability formula is used to calculate the probability of a given number of successes from a given number of trials when the probability of success is constant. In this case, the number of trials is 3 (i.e. the three randomly selected people) and the probability of success is 64% (i.e. the probability that each of the randomly selected people has been vaccinated).
To calculate the probability that at least one of the three randomly selected people has been vaccinated, we first calculate the probability of none of them having been vaccinated:
P(none) = (1 - 0.64)^3 = 0.216
Then, the probability of at least one of them having been vaccinated is 1 - P(none) = 1 - 0.216 = 0.784.
In conclusion, the probability that at least one of three randomly selected people has been vaccinated in a large population where 64% of people have been vaccinated is 0.784.
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Question
Find the surface area of the prism
HELP
Answers
Answer: 56 in
Step-by-step explanation:
4x7x2=56
Answer:
56 in
Step-by-step explanation:
4*7*2
Use the distributive property to write an expression that is equivalent
to 12(x+y).
12(x+y) = ?
+?
Answers
This is because you have to multiply 12 by every number in the parenthesis, so 12 times x, and 12 times y, and then ya add it, and boom answer!
Help explain solve……
Answers
Answer:
About 92.1 °
Step-by-step explanation:
[tex]cos(U)=(58.8^{2} +38.4^{2} -71.4^{2} )/2(58.8)(38.4)\\[/tex]
[tex]cos(U)= (3457.44+1474.56-5097.96)/4515.84[/tex]
[tex]cos(U)= (-165.96)/4515.84[/tex]
[tex]cos(U)= -0.03675063775[/tex]
[tex]U= cos^{-1} (-0.03675)[/tex]
[tex]U=92.1[/tex]
Answer:
cosA=b^2+c^2-a^2/2xbxc
58.8^2+38.4^2-71.4^2/2x58.8x38.4=-461/12544
cos^-1 (because finding angle)
cos^1(-461/12544)=92.10613071
determine whether the property is true for all integers, true for no integers, or true for some integers and false for other integers. justify your answers. the average of any two odd integers is odd.
Answers
The property of the average of any two odd integers being odd is true for all integers.
This is because the sum of any two odd integers is always an even integer. For example, if we take any two odd integers, say 3 and 7, then the sum of these two is 10, an even integer. Therefore, the average of 3 and 7, which is (3 + 7)/2, is also an even integer, in this case, 5.
Since all even integers are divisible by 2, the average of any two odd integers must be an odd integer.
Therefore, the property is true for all integers.
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tara plans to rent a car for the weekend. the cost to rent the car is $45 plus $0.15 for each mile she drives. write a function for the total cost of the rental. how much is the rental if she travels 500 miles?
Answers
The function for the total cost of renting a car for a weekend with a base cost of $45 and a mileage charge of $0.15 per mile can be written as:
Total Cost = 45 + 0.15 * miles driven
where "miles driven" is the number of miles the car is driven over the rental period.
To find out how much it would cost Tara to rent the car if she travels 500 miles, we can substitute "500" for "miles driven" in the function:
Total Cost = 45 + 0.15 * 500
Total Cost = 45 + 75
Total Cost = $120
Therefore, if Tara drives 500 miles over the rental period, the total cost of renting the car for the weekend would be $120.
Hence, the total cost of renting a car for a weekend with a base cost of $45 and a mileage charge of $0.15 per mile can be calculated using the function Total Cost = 45 + 0.15 * miles driven. To find the total cost for a specific number of miles driven, we can substitute that number for "miles driven" in the function.
In this case, if Tara drives 500 miles, the total cost of renting the car would be $120.
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Draw a figure composed of three different rectangle that has a perimeter of 140 yards use measurements in yards in feet to label this side of your figures.
Answers
To create a figure of three rectangles with a perimeter of 140 yards, you can stack them on top of each other to make a plus sign, and label each side as 11 and 2/3 yards or 11 yards (by subtracting the fractions).
What is rectangle?A rectangle is a four-sided geometric shape that has four right angles (90 degree angles) and opposite sides that are parallel and of equal length. The length of a rectangle is its longer side, while the width is its shorter side.
According to given information:If we draw three rectangles stacked on top of each other like a plus sign, we can divide the perimeter of 140 yards by the number of sides, which is 12. This gives us a length of 11 and 2/3 yards per side.
To use only integers, we can subtract the fractions from each side to another, which gives us a length of 11 yards per side. We can then label each side of the figure with a length of 11 yards.
In the figure, we have three rectangles of equal size, with a length of 11 yards and a width of 35 yards. We can convert the measurements to feet by multiplying by 3, which gives us a length of 33 feet and a width of 105 feet.
Alternatively, if we wanted to use only whole numbers, we could increase the size of each rectangle slightly, so that the total perimeter is a multiple of 12. For example, we could make each rectangle 11.6667 yards by 35 yards, which gives us a total perimeter of 140.0008 yards. We can then divide this by 12 to get a length of 11 and 2/3 yards per side, and label each side with a length of 11 yards.
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Graph the system below and write its solution
Answers
Answer:
the answer is one solution and to graph you'll need to make the second equation like this y=-2x+7
what affects the width of a confidence interval? (choose one or more) group of answer choices sample size. variation within the population. our desired confidence level. median of the sample
Answers
The factors that affect the width of a confidence interval are a. population variation, c. sample size, and d. confidence level
Confidence interval refers to a statistical measure that attempts to estimate the range of values that could plausibly contain the true value of a population parameter. A confidence interval, in other words, is a statistical range that tells us how sure we are that a statistical estimate we're interested in lies between two values.
There are several factors that can affect the width of a confidence interval. Here are some of them:
Sample Size: The larger the sample size, the narrower the confidence interval.Confidence Level: The higher the confidence level, the wider the confidence interval.
Population Variation: The greater the population variance, the wider the confidence interval.
The Question was Incomplete, Find the full content below :
what factors of the following affect the width of a confidence interval?
a. population variation
b. none of them
c. sample size
d. confidence level
e. sample mean
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you have 8 red roses and 4 yellow rose. if you line them up in a row, how many different arrangements can you get
Answers
There are 27,720 different arrangements of red and yellow roses.
The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:
n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange.
In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:
12! / (12 - 8)! = 12! / 4! = 27,720
So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.
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what is the relationship between the symbol pi and the word pi
Answers
The symbol π and the word "pi" are both used to refer to the mathematical constant that represents the ratio of a circle's circumference to its diameter
The symbol π and the word "pi" are both used to refer to the mathematical constant that represents the ratio of a circle's circumference to its diameter. The symbol π is a Greek letter that has been used to represent this constant for centuries, while the word "pi" is the commonly accepted English-language term for this constant.
They are two different representations of the same mathematical concept. The symbol π is used extensively in mathematical formulas, while the word "pi" is used more colloquially to refer to this constant in everyday conversation.
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Write the equation of the trend line. Use the points (4, 12) and (12, 8).
Answers
The equation of the trend line is y = (-1/2)x + 14.
What is trend line?The overall pattern or trend in a collection of data is represented by a trend line, sometimes referred to as a regression line. In statistics, it is frequently used to illustrate the connection between two variables, one of which is the independent variable and the other the dependant variable. Regression analysis, which determines the line that most accurately fits the data points based on their connection, is used to compute the trend line. In order to anticipate or estimate future values of the dependant variable based on the independent variable, the equation of the trend line may then be utilised.
The slope of the line can be found using the formula:
slope = (change in y) / (change in x)
slope = (8 - 12) / (12 - 4)
slope = -4 / 8
slope = -1/2
Using the point slope form:
y - y1 = m(x - x1)
y - 12 = (-1/2)(x - 4)
y = (-1/2)x + 14
Hence, the equation of the trend line is y = (-1/2)x + 14.
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What is the vertex, opening, width, and axis of symmetry for f(x)=1/9(x-9)^2+3?
Answers
The vertex is (9, 3), the width of the parabola is 2/3 units, the axis of symmetry is the vertical line passing through x = 9.
What is quadratic function?f(x) = ax2 bx c, where x is the variable and a, b, and c are constants, is the formula for a quadratic function. It falls under the category of a degree two polynomial function.
In the given equation of a quadratic function:
f(x) = (1/9)(x - 9)² + 3
The vertex is (h, k), where h and k are the x-coordinate and y-coordinate of the vertex, respectively.
Here, the equation is in vertex form:
f(x) = a(x - h)² + k
Comparing this to the given equation, we can see that h = 9 and k = 3. Therefore, the vertex is (9, 3).
The opening of the parabola is upward because the coefficient "a" of the quadratic term (x - h)² is positive (1/9 in this case).
The width of the parabola can be determined using the formula:
w = 2√(a/k)
where a is the coefficient of the quadratic term and k is the y-coordinate of the vertex.
Plugging in the values, we get:
w = 2√[(1/9)/3] = 2/3
Therefore, the width of the parabola is 2/3 units.
The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two equal halves.The axis of symmetry's equation is as follows:.
x = h
Substituting h = 9, we get:
x = 9
Therefore, the axis of symmetry is the vertical line passing through x = 9.
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You wish to compute the 90% confidence interval for the population proportion. How large a sample should you draw to ensure that the sample proportion does not deviate from the population proportion by more than 0. 08? No prior estimate for the population proportion is available
Answers
To compute a 90% confidence interval for the population proportion with a margin of error of 0.08 and no prior estimate for the population proportion, a sample size of 181 is needed.
To determine the sample size needed to compute the 90% confidence interval for the population proportion with a margin of error of 0.08, we can use the formula:
n = (z^2 * p * (1 - p)) / E^2
where n is the sample size needed, z is the z-score for the desired confidence level (90% confidence level has a z-score of 1.645), p is the estimated proportion (since no prior estimate is available, we use 0.5 as a conservative estimate), E is the margin of error (0.08)
Substituting the given values, we get:
n = (1.645^2 * 0.5 * (1 - 0.5)) / 0.08^2
n = 180.99
Rounding up to the nearest whole number, we get:
n = 181
Therefore, a sample size of 181 is needed to compute the 90% confidence interval for the population proportion with a margin of error of 0.08, when no prior estimate for the population proportion is available.
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[y=-z+2
y=-2²+z+1
Which ordered pair is the solution of the system?
The graph shows the system
0 (0, 2)
O (1,2)
(1,1)
(0, 1)
+
Answers
Therefore , the solution of the given problem of ordered pair comes out to be the ordered pair (1, 1/2).
What exactly are ordered pairs?"Ordered pairs" are two separate variables that are arranged in a way that suggests a specific sequence. The coordinates for x and y in an order pair are represented, respectively, by the main and second components. The sample following uses close parentheses to indicate the ordered combination.
Here, The formulae are as follows:
=>y = -z + 2 ...(1)
=> y = -2x² + z + 1 ...(2)
Equation (1) can be substituted for equation (2) to find the value of z:
=> Z = x² + 1/2 - z + 2 = -2x² + z + 1
=> 2z = 2x² + 1
We can now enter this value of z into equation (1) and find the value of y:
=> y = -z + 2
=> y = -(x² + 1/2) + 2
=> y = -x² + 3/2
As a result, the equation system can be expressed as:
=> z = x² + 1/2
=> y = -x² + 3/2
When x=0:
=> z = 0² + 1/2 = 1/2
=> y = -0² + 3/2 = 3/2
Therefore, there is no answer for the ordered pair (0, 3/2).
When x=1:
=> z = 1² + 1/2 = 3/2
=> y = -1² + 3/2 = 1/2
The answer is the ordered pair (1, 1/2).
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Answers
The required value of the ∠DPE = 40°.
What is vertically opposite angle?Angles that are vertically opposite to one another at a particular vertex are formed by two straight lines meeting. Angles that are vertically opposed to one another are identical. These are referred to as perpendicular angles at times.
According to question:Using vertically opposite angle, ∠GPE = 35° and ∠KPF are equal
Then,
∠GPE = ∠KPF = 35°
Then Sum of all angles on straight line is 180°
∠KPF + ∠FP + ∠DPE = 180°
35° + 105° + ∠DPE = 180°
∠DPE = 180° - 140°
∠DPE = 40°
Thus, required value of the ∠DPE = 40°.
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