Which type of transformation is represented by the figures in the graph A. dilation and rotation B. Reflection and translation C. Reflection D. Rotation
Answers
To generate the image we need to perform a rotation. To perform a rotation every point on the function or figure must mantain the same distance of the center of rotation and move in a circle around it. We can see that the operation used was a rotation, because we can trace a circle between each point from the function to the image around the origin. The angle of rotation was 180 degrees.
Related Questions
which situation could be described as the product of 3 and -4
Answers
Option C
because the temperature decreased in 4 units each hour during 3 hours
The number of cakes needed for party, C, is dependent upon the number of guest at the party, G. Which equation shows the number of cakes as a function of the number of guests?
Answers
In this problem we have that
the variable independent is g
the variable dependent is c
so
f(c)=g/12
answer is the first option
6. The rectangles length can be represented by 3n2 + 2n -1 and its width can be represented by n2 + 3. What is the perimeter of the rectangle?show your work plsbest answer=brainiest
Answers
The perimeter P of a retangle is given as
P = 2(L + B) where
L is the length and B is the width
Hence the perimeter of the given rectangle
= 2(3n2 + 2n -1 + n2 + 3)
= 2(3n2 + n2 + 2n -1 + 3)
= 2(4n2 + 2n -2)
= 8n2 + 4n - 4
[tex]8n^{2} +4n+4[/tex] is the perimeter of the rectangle.
Length of the rectangle =[tex]3n^{2} +2n-1[/tex]
Width or Breath of the rectangle = [tex]n^{2} +3[/tex]
Perimeter of rectangle = 2 ( length + width)
= [tex]2( 3n^{2} +2n-1 +n^{2} +3 )[/tex]
= [tex]2(4n^{2}+2n+2)[/tex]
= [tex]8n^{2} +4n+4[/tex]
Perimeter is the boundary line of a closed geometrical figure. It is always measured for a flat figure ie only 2D figures for example circles, squares, rectangles, or triangles.
The perimeter of the triangle = sum of all sides
The perimeter of the square = 4a, where a is the side of the square
The rectangle is a four-dimensional closed figure.
Properties of rectangle:
4 sides4 verticesOpposite sides are equal as well as parallel2 faces the lines form 90 degree angleFor more questions about perimeter of rectangle visit the link: https://brainly.com/question/26584519
factorise the following
a) x^2- 12x + 32
b) x^2- 14x + 48
c) x^2 - 3x + 2
Answers
The factors of x^2 - 12x + 32 is (x-4)(x-8), factors of x^2-14x+48 is (x-6)(x-8), and factors of x^2-3x+2 is (x-1)(x-2)
a) x^2 - 12x + 32
= x^2 - 8x - 4x + 32
= x(x - 8) - 4(x-8)
= (x-4)(x-8)
b) x^2 - 14x + 48
= x^2 - 8x - 6x + 48
= x(x-8) -6(x-8)
= (x-6)(x-8)
c) x^2 - 3x + 2
= x^2 - x - 2x + 2
= x(x-1)- 2(x-1)
= (x-1)(x-2)
Hence, the factors of a) is (x-4)(x-8), factors of b) is (x-6)(x-8), and factors of c) is (x-1)(x-2)
To know more about factors here
https://brainly.com/question/26755199
#SPJ1
the standard slope for a drainage pope carrying water is 1/4 inch of vertical drop per foot of horizontal distance. How many inches of vertical drop would an 18-ft drainage pipe require?
Answers
Given:
The length of the drainage pipe, l=18 ft.
The slope of the drainage pope is 1/4 inch of vertical drop per foot of horizontal distance.
Hence, the slope is m=1/4 in/ft.
Now, the vertical drop can be calculated by multipying the slope 1/4 in/ft by the length of pipe.
Thus, the vertical drop needed for a 18 ft pipe is,
[tex]\begin{gathered} x=m\times l \\ =\frac{1}{4}\frac{in}{ft}\times18\text{ ft} \\ =4.5\text{ in} \end{gathered}[/tex]Therefore, the vertical drop needed for a 18 ft pipe is 4.5 in.
If the spinner in the photo is spun once, what is P(multiple of 3 and even)? *5/61/610/122/12the spinner is numbered 1-12
Answers
The spiner in the photo is divided into 12 segments all numbered fro 1 to 12. That means there are a total of 12 possible outcomes for every spin. If the spinner is spun once, we want to find the probability that the outcome would be a multiple of 3. All the multiples of 3 are the expected outcomes or results of this experiment. The expected results are 3, 6, 9, and 12, which is four possible outcomes. Hence the probability of of obtaining a multiple of 3 is calculated as
P [multiple of 3] = No of expected outcomes/No of total possibilities
P [multiple of 3] = 4/12
P [multiple of 3] = 1/3
Next we note that the spinner has 6 even numbers, that is 2, 4, 6, 8, 10 and 12. The probability that the experiment yields an even number is calculated as follows;
P [even number] = No of expected outcomes/No of total possibilities
P [even number] = 6/12
p [even number] = 1/2
Therefore the probability that the spinner when spun once would result in a probability of a multiple of 3 and an even number is calculated as follows;
P [multiple of 3 and even] = P[multiple of 3] * P[even number]
P[multiple of 3 and even] = 1/3 * 1/2
P[multiple of 3 and even] = 1/6
The correct answer is Option B
Which equation describes the line with slope 5 that contains the point (-1,4)?O A. y+ 4 = 5(x+1)B. y - 4 = 5(x - 1)O c. y+ 4 = 5(x - 1)O D. y - 4 = 5(x+1)P
Answers
Answer
D
[tex]y-4=5(x+1)[/tex]Step-by-step explanation
The equation of a line in point slope form is
[tex]y-y_1=m(x-x_1)[/tex]where m is the slope and (x₁, y₁) is a known point.
Substituting m = 5 and the point (-1, 4), we get:
[tex]\begin{gathered} y-4=5(x-(-1)) \\ y-4=5(x+1) \end{gathered}[/tex]
I need help explaining this problem or something similar to it!!
Answers
Given:
The area of the triangle is 14 square inches.
The perpendicular (horizontal) height of the triangle is 7 inches.
To find:
The length of the shortest side.
Explanation:
Using the formula of the area of the triangle is,
[tex]A=\frac{1}{2}\times b\times h[/tex]Substituting the values we get,
[tex]\begin{gathered} 14=\frac{1}{2}\times b\times7 \\ b=\frac{14\times2}{7} \\ b=4inches \end{gathered}[/tex]Final answer:
The area of the triangle is 4 inches.
Write a formula for the nTh term of the sequence:1,4,7,10,13
Answers
Answer:
[tex]a_n=3n-2[/tex]Explanation:
The formula for the nth term of an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex]Where:
a_n is the term we want to find
a_1 is the first term of the sequence
d is the common distance between the terms.
In this sequence, we can see that d = 3. Because any term minus the previous is 3:
[tex]\begin{gathered} 4-1=3 \\ 7-4=3 \\ 10-7=3 \\ 13-10=3 \end{gathered}[/tex]The first term is 1. Then:
[tex]a_n=1+3(n-1)[/tex]Now, we can apply distributive property:
[tex]a_n=1+3n-3=3n-2[/tex]And we get the final expression for the arithmetic sequence formula for the nth term:
[tex]a_=3n-2[/tex]How I Did (Circle one)Learning Goal from Lesson 12.2I can describe and interpret the solutions to a system of linearinequalities graphically.I got it!I'm still learning it.(Lesson 12.2) Graph the system of linear inequalities. Give two ordered pairs that are solutions andtwo that are not solutions. (2 points)9.Sy 3x + 3by <-28 66I42
Answers
To answer this question we will graph the solution set of each inequality and then find the intersection of the solution sets.
1)
[tex]y\ge3x+3.[/tex]Since the inequality is not strict, then the border of the solution set is a solid line.
Notice that the solution set of the first inequality consists of all the points on the graph and above the graph of the line:
[tex]y=3x+3.[/tex]Therefore the solution set to the first inequality is:
2)
[tex]y<2.[/tex]The solution set of the above inequality consists of all the points such that its y-coordinate is less than 2, then its graph is:
Therefore the solution set to the given system of inequalities is:
Answer:
Two points on the solution set are (-2,-3) and (-1,0) and two points that are not on the solution set are (-2,2) and (-4,2).
In the xy-plane, the line determined by the points (2,k) and (k, 32) passes through the origin. Which of the following could be the value of k ? A) 0 B) 4 C) 8 D) 16
Answers
1) Considering that those points (2,k) and (k,32) determines one same line, within the plane. Therefore we can say that
2) Considering that since they pass through the origin then their x -coordinate is equal to zero, and their y coordinate as well so
3) We can state that as a matter of fact (2, k) and (K, 32) can be rewritten as (2,0) and (0,32)
k=0
Boyle's Law states that the pressure exerted by a gas held at a constant temperature varies inversely with the volume of the gas. At a volume of 2 L the pressure of a gas is 150 kPa. If the volume of the gas is 6 L, what would be the pressure of the gas in kPa?
Answers
Here, we want to use the proportionality to get the value of the pressure of the gas
From the question, we have it that the pressure and the volume are inversely related at constant temperature
Let us have the pressure as P, volume as V and temperature as T
Thus, we have the relationship as follows;
[tex]\begin{gathered} P\text{ }\propto\text{ }\frac{1}{V} \\ PV\text{ = T} \\ \\ At\text{ V = 2 and P = 150} \\ T\text{ = 150}\times2\text{ = 300} \\ \end{gathered}[/tex]When V = 6, we have P as follows;
[tex]\begin{gathered} 6\times P\text{ = 300} \\ P\text{ = }\frac{300}{6} \\ P\text{ = 50 KPa} \end{gathered}[/tex]A hotel in Las Vegas is famous for its large-scale model of the Eiffel Tower. The model, built to scale, is 128 meters tall and 41 meters wide at its base. Ifthe real tower is 324 meters tall, how wide is the base of the real Eiffel Tower?
Answers
The model of the Eiffel Tower are: tall: 128 wide 41 and the real one is 324 so we can find the constant of proporcionality with the hight of the towers so:
[tex]\begin{gathered} k=\frac{324}{128} \\ k=2.5 \end{gathered}[/tex]so the wide of the original Eiffel Tower will be:
[tex]\begin{gathered} W=41\cdot2.5 \\ W=102.5 \end{gathered}[/tex]So it has a wide of 102.5 meters
The following sample was obtained from a populationwith unknown parameters. Scores: 13, 7, 6, 12, 0, 4a. Compute the sample mean and standard deviation.(Note that these are descriptive values that sum-marize the sample data.)b. Compute the estimated standard error for M. (Notethat this is an inferential value that describes howaccurately the sample mean represents the un-known population mean.)
Answers
a.
The mean of a sample is given by:
[tex]\bar{x}=\frac{\sum_{i=1}^nx_i}{n}[/tex]In this case we have:
[tex]\begin{gathered} \bar{x}=\frac{13+7+6+12+0+4}{6} \\ \bar{x}=\frac{42}{6} \\ \bar{x}=7 \end{gathered}[/tex]Therefore, the mean of the sample is 7
The standard deviation is:
[tex]s=\sqrt{\frac{\sum_{i\mathop{=}1}^n(x_i-\bar{x})^2}{n-1}}[/tex]Then we have:
[tex]\begin{gathered} s=\sqrt{\frac{(13-7)^2+(7-7)^2+(6-7)^2+(12-7)^2+(0-7)^2+(4-7)^2}{6-1}} \\ =\sqrt{\frac{36+0+1+25+49+9}{5}} \\ =\sqrt{\frac{120}{5}} \\ =\sqrt{24} \end{gathered}[/tex]Therefore, the standard deviation is √24
b.
The standard error is defined as:
[tex]SE=\frac{s}{\sqrt{n}}[/tex]Then we have:
[tex]SE=\frac{\sqrt{24}}{\sqrt{6}}=\sqrt{\frac{24}{6}}=\sqrt{4}=2[/tex]Therefore, the estimated standard error is 2
Find the x-intercept and y-intercept of the line.6x+3y=-6x intercept-y intercept-
Answers
To find the x-intercept of any equation, substitute y by 0 in it
To find the y-intercept of any equation substitute x by 0 in it
The given equation is
[tex]6x+3y=6[/tex]Substitute y by 0 to find the x-intercept
[tex]\begin{gathered} y=0 \\ \\ 6x+3(0)=6 \\ \\ 6x+0=6 \\ \\ 6x=6 \end{gathered}[/tex]Divide both sides by 6
[tex]\begin{gathered} \frac{6x}{6}=\frac{6}{6} \\ \\ x=1 \end{gathered}[/tex]The x-intercept is (1, 0)
Substitute x by 0 to find the y-intercept
[tex]\begin{gathered} x=0 \\ \\ 6(0)+3y=6 \\ \\ 0+3y=6 \\ \\ 3y=6 \end{gathered}[/tex]Divide both sides by 3
[tex]\begin{gathered} \frac{3y}{3}=\frac{6}{3} \\ \\ y=2 \end{gathered}[/tex]The y-intercept is (0, 2)
x-intercept = (1, 0)
y-interscept = (0, 2)
Do you think a rotated image would ever coincide with the original figure
Answers
Answer:
Yes, the rotated image coincide with the original figure when the angle of translation is 360 degrees or a multiple of 360 degrees because 360 degrees is the measure of a complete rotation.
Solving for x3x+2y=8 showing the steps
Answers
The given equation is
[tex]3x+2y=8[/tex]To solve for x, first, we subtract 2y from each side.
[tex]\begin{gathered} 3x+2y-2y=8-2y \\ 3x=8-2y \end{gathered}[/tex]Then, we divide the equation by 3.
[tex]x=\frac{8-2y}{3}[/tex]Hence, the answer is [tex]x=\frac{8-2y}{3}[/tex]what equation describe amonth pf money for taco truck 2, where A is the amonth of money and T is the number of tacos sold.?
Answers
Okay, here we have this:
Considering that Truck 2 started $2 and sold 2 the tacos for $1. This mean that each taco cost $0.5, so we obtain the following:
Total amounth of money (A)=Initial Money+$0.5*Number of tacos sold (T)
Finally we obtain the following equation A=$2+$0.5(T)
Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 8, 11
Answers
Determine two co-terminal angles (one positive and one negative) for [tex]0 = 5\pi \div 6[/tex]0 is fada
Answers
The co-terminal angles are 510 and -210 degrees
Here, we want to get the co-terminal angle of the given angle
Co-terminal angles can be obtained by subtracting or adding 2pi to the given angle
So firstly, we have to write the given angle in degrees
Mathematically;
[tex]\begin{gathered} \frac{5\pi}{6}\text{ = 150} \\ \text{add 360 = 150 + 360 = 510} \\ \text{subtract 360 = 150-360 = -210} \\ \end{gathered}[/tex]if p || , m<7 = 131°, and m<16 = 88°, find the measure of the missing angle m<3=?
Answers
According to the property, the alternate interior angles, formed by a transversal on two parallel sides, are always equal.
Consider that in the given diagram, the lines 'p' and 'q' are parallel, and line 'r' acts as the transversal on the lines 'p' and 'q'.
And the angles 3 and 7 constitute a pair of alternate interior angles, formed by the transversal 'r' on the parallel sides 'p' and 'q'. So they must be equal,
[tex]\begin{gathered} \angle7=\angle3 \\ \angle3=131^{\circ} \end{gathered}[/tex]Thus, the angle 3 measures 131 degrees.
Can someone please help me with this? I am trying but cannot figure it out.
Answers
Remember that
Vertical intercept is the same that y-intercept (value of y when the value of x is zero)
Horizontal intercept is the same that x-intercept (value of x when the value of y is zero)
so
Graph N 1
we have the horizontal line
y=-80
Vertical intercept is the point (0,-80)
Horizontal intercept -----> Don't have
Graph N 2
we have
Vertical intercept -----> (0,-50)
Horizontal intercept -----> (40,0)
The directions are with the pic below. I have to send a 2nd pic. Couldn’t fit everything on the page
Answers
If the pentagon is rotated 360° about the origin, that means the new figure will be exactly in the same position as the original image, because a rotation of 360° about the origin doesn't change the figure position or orientation.
So, if the vertex was located at (10, -8), the new figure will also have a vertex located at (10, -8).
Therefore the correct option is the fourth one.
Set up an equation to solve the given word problem
Answers
Let a and b be two numbers. The first equation described in the sentence is
[tex]a=22+b[/tex]And the second equation is
[tex]ab=-121[/tex]Notice that the first equation implies that b>a, so we can rename b as x, obtaining the next two equations
[tex]\begin{gathered} a=22+x \\ ax=-121 \end{gathered}[/tex]Then,
[tex]\begin{gathered} \Rightarrow ax=(22+x)x \\ \Rightarrow x(22+x)=-121 \\ \Rightarrow x(x+22)=-121 \end{gathered}[/tex]The answer is option c.
Finally, solve the equation above for x, as shown below
[tex]\begin{gathered} x(x+22)=x^2+22x \\ \Rightarrow x^2+22x=-121 \\ \Rightarrow x^2+22x+121=0 \\ \Rightarrow(x+11)^2=0 \\ \Rightarrow x+11=0 \\ \Rightarrow x=-11 \end{gathered}[/tex]The answer is x= -11
And number a is x+22=-11+22, a=11
john had 84 apples his friend sam took away 22 of them how many apples does john have left. and what percentage did Sam take away.
Answers
We have the following:
The apples that John has left would be the difference between the ones he initially had minus the ones that Sam took
[tex]84-22=62[/tex]To calculate the percentage that Sam took, we must divide the amount that Sam took and the total amount, that is, those that John had initially, then multiply by 100 so that it is a percentage.
[tex]\frac{22}{84}\cdot100=26.19[/tex]Therefore, the percentage is 26.19%
John has left with 62 apples.
Sam takes away 26.19% of the total apples.
Given in the question,
John had 84 apples.
Sam took away 22 apples.
So, to find the number of apples left,
we have to subtract the total number of apples from the number of apples taken by sam,
Remaining apple = 84 - 22
= 62.
Therefore, the number of remaining apples is 62.
Now, we will find the Percentage Of apples taken by Sam,
= [tex]\frac{22}{84}[/tex] × 100
= 26.19%
Therefore, the percentage taken away is 26.19%
The graph above shows a plot a data set. We know that the slope of the line of best fit is - 1/5. What vertical changeneeds to be applied to the function y = 1/5x to make the linear function best model the data set?A) a vertical change of down 5 unitsB) a vertical change of up 6 unitsC) a vertical change of up 5 unitsD) a vertical change of down 1/5 units
Answers
C) y=-1/5x +5
1)Since the function y=-1/5x is a decreasing line, that crosses the origin.
Then the needed transformation the best fits the data set would be a vertical change up of 5 units.
2) Above the parent function y=-1/5x and y=-1/5x +5
Evaluate #2-7 given the functions f(x), g(x) and h(x) below. Show all work! x² - 1 –5 if if XS-1 xs-3 h(x) = 4 if '-13549(4) = {-x-4)-1 if x 4 x² – 5 if x 5 |x - 51 - 2 if x > 4 2. **g(4) 3. *f(-3) 4. 4. ** (-5) 5. ** h(6) 6. g(6) 7. f(-
Answers
ANSWER:
Given following piecewise functions (Defined on more than one intervals).
[tex]h(x)\text{ =}\begin{cases}x^2-1\text{ , x }\leq-1\text{ } \\ 4,\text{ -1 }We will evaluate these functions in order as f(x) , g(x) and finally h(x).Next these functions will be evaluated.
[tex]\begin{gathered} f(-\frac{7}{2})=-5 \\ g(4)=-3 \\ h(-\frac{1}{2})=-\frac{1}{2} \end{gathered}[/tex]NOTE! To evaluate h(x) at given x, we were required to evaluate g(x) at the same x value.
This is the result of evaluating three piecewise functions at specified x values, as it was asked in the question.!
Problem 3. Two professors teach the same course and their students have the same mean score (85) and same median score (85). Grades for each professor are listed below. Professor X: 91, 91, 82, 80, 77, 80, 93, 92, 87, 76, 86, 80, 80, 95, 85 Professor Y: 99, 83, 68, 96, 93, 75, 78, 65, 85, 96, 99, 69, 96, 98, 100, 69, 81, 99, 66 a) B. Calculate, by hand or with a software, the Mean Absolute Deviation (MAD) of each grade distribution and use this information to determine which professor’s grades have a larger variability. C. Discuss whose course would you rather be in and why.
Answers
ANSWER
MAD for Professor X = 5.33
MAD for Professor Y = 11.68
Hence, Professor Y's grades have a larger variability.
STEP-BY-STEP EXPLANATION
Step 1: Data, Mean and the Absolute values for Professor X using Microsoft Excel software.
Step 2: Mean Absolute Deviation (MAD) for Professor X using Microsoft Excel software.
Step 3: Data, Mean and the Absolute values for Professor Y using Microsoft Excel software.
Step 4: Mean Absolute Deviation (MAD) for Professor Y using Microsoft Excel software.
Step 5: Variability
The higher the Mean Absolute Deviation (MAD), the greater the variability in the data; that is the data far more spread out. Hence, Professor Y's grades have a larger variability.
Step 6: Whose course would you rather be in and why?
From the results above, it is clear that Professor Y's grades are more spread out from the mean. This shows that the grades are more variable and there is quite less consistency in the grades.
However, the results show that Professor X's grades are less spread out from the mean, less variable and far more consistent.
Hence, you should rather be in Professor X's course because of the above facts.
Multiplication and the distributive property of 85 divided by 5
Answers
17
Explanation
The distributive property of multiplication states that when a number is multiplied by the sum of two numbers
[tex]a\cdot(b+c)=ab+ac[/tex]the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum
so, 85 can be written as
[tex]\begin{gathered} \frac{85}{5} \\ (5\cdot10)+(5\cdot7)=85 \\ 5\cdot17=85 \end{gathered}[/tex]hence
I hope this helps you
hi I cricled the correct answer but I just need to solve how to get it.
Answers
In order to solve this problem we are gonna use a trick that consist in expressing 64 and 16 as powers of 2.
We can write 64 and 16 in the following way:
[tex]\begin{gathered} 64=2^6 \\ 16=2^4 \end{gathered}[/tex]Now, we replace the equations of above in the equation of the statement:
[tex]\begin{gathered} (2^6)^{2x}=2^4 \\ 2^{6\cdot2x}=2^4 \\ 2^{12x}=2^4 \end{gathered}[/tex]In the intermediate steps we have aplied the rule that the powers multiply.
Now, in the last equation, the exponents must be equal if want to have both sides of the equation equal. So:
[tex]\begin{gathered} 12x=4 \\ x=\frac{4}{12}=\frac{1}{3} \end{gathered}[/tex]The correct answer is B