the slope of the line below is 0.8 .write the equation of the line in point slope form, using the coordinates of the labeled point. Do not use the parentheses on the y side.
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Answer:
[tex]y+3=0.8(x+2)[/tex]Explanation:
Given that:
Slope of the line, m = 0.8
Point on the line = (-2, -3)
The point slope form of a line with slope m and passing through (a, b) is
[tex]y-b=m(x-a)[/tex]Substitute the given values into the formula.
[tex]\begin{gathered} y-(-3)=0.8(x-(-2)) \\ y+3=0.8(x+2) \end{gathered}[/tex]which is the required equation of line.
Related Questions
Directions: Drag each check mark to the correct location on the table. Each check mark can be used more than once.Is the line shown on each shape a line of symmetry? Put a check mark next to each shape to select Yes or No
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For this problem, we are given certain images that are divided by lines. We need to identify whether the line is a line of symmetry or not.
A line of symmetry is one that divides a shape into two equal parts.
The first one is a triangle, it is not a line of symmetry, since it does not divide the triangle in two equal parts.
The second one is not a line of symmetry either, since the two parts are different.
The last one is a line of symmetry since it divides the shape into two equal parts.
The answers are:
1. No
2. No
3. Yes.
select all of the products listed for which the product matrix will be defined
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Solution
- The correct combinations are:
Select the statement that best describes the pattern.1.0.5 = 00.23 = 00.50 = 0A0.x=0B1.x= xсx. 1 = x
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Select the statement that best describes the pattern.
1.0.5 = 0; 0.23 = 0; 0.50 = 0
A 0.x=0
B 1.x= x ( every number multiplied by one gives the same number)
с x. 1 = x (every number multiplied by one gives the same number)
____________________
Answer
A 0.x=0
every number multiplied by zero gives zero
6.Jan Ballard earns a weekly salary of $350 as a receptionist for a local doctor's office. Next month she is being promoted to Office Manager and will be paid $895 semi-monthly. How much more per year will Jan earn as Office Manager rather than receptionist?
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She earns as receptonist:
1month: (R)=$350
In a year she earns:
[tex]R\cdot12\text{months}=350\cdot12=4200[/tex]In a year as receptionist she earns $4200
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She will earns as Office Manager:
2months: (O)=$895
In a year she earns:
[tex]O\cdot\frac{12\text{months}}{2}=895\cdot\frac{12}{2}=895\cdot6=5370[/tex]In a year as Office Manager she earns $5370
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She will earns as office Manager rather than receptionist: $1170 more
[tex]O-R=5370-4200=1170[/tex]Evaluate A flagpole casts a shadow 24 feet long while a six-foot fence pole casts a shadow 8 feet long. Find the height of the flagpole.
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To answer this question we will use the following diagram as reference:
Notice that both triangles are similar, then:
[tex]\frac{\text{xft}}{6ft}=\frac{24ft}{8ft}\text{.}[/tex]Simplifying the above result we get:
[tex]\frac{x}{6}=3.[/tex]Multiplying the above result by 6 we get:
[tex]\begin{gathered} \frac{x}{6}\times6=3\times6, \\ x=18. \end{gathered}[/tex]Answer: 18 feet.
Please Help!! Find the sum of x2 + 3x and -2x2 + 9x + 5.
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To find the sum of both polynomials we need to sum the like terms in both polynomials as follows:
Therefore, the answer for this sum is:
[tex]-x^2+12x+5[/tex]What would the slope of a line be if it were perpendicular to the line: y = 1 / 6x - 7 ?Select one:a.- 7b.- 6c.- 1 / 6d.6
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Solution:
The equation of the line is given below as
[tex]y=\frac{1}{6}x-7[/tex]Concept:
The general form of the equation of a line is given below as
[tex]\begin{gathered} y=mx+c \\ where, \\ m=slope \\ c=y-intercept \end{gathered}[/tex]Condition for perpendicularity of two lines is given below as
[tex]m_1\times m_2=-1[/tex]In this case,
The first slope is given below as
[tex]\begin{gathered} m_1=\frac{1}{6} \\ by\text{ comparing coefficient} \end{gathered}[/tex]To figure out the slope of the perpendicular line below, we will substitute the value of m1=1/6 below as
[tex]\begin{gathered} m_1\times m_2=-1 \\ \frac{1}{6}\times m_2=-1 \\ \frac{m_2}{6}=-1 \\ corss\text{ multipyl, we will have} \\ m_2=-1\times6 \\ m_2=-6 \end{gathered}[/tex]Hence,
The final answer is
[tex]\Rightarrow-6[/tex]OPTION B is the correct answer
6. How many different equations can you write for the graph? y-yı = m(x – X1) Why do you think it was more difficult to graph
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you can turn it into the slope-y intercept form y= mx+b , and to the standard for Ax+Bx=C
PLEASE HELP ME IM GIVING 5 STAR RATINGSfor what value do the expressions negative 5/3 x + 3 and 1/3 x - 3 have the same value?
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EXPLANATION
Given the expressions:
(1) -5/3x + 3
(2) 1/3x - 3
Equaling both equation will give us the same value as follows:
-5/3x + 3 = 1/3x - 3
Subtracting 1/3x to both sides:
-5/3x -1/3x +3 = 1/3x - 1/3x -3
Subtrating -3 to both sides:
-5/3x -1/3x +3 - 3= -3 -3
Adding like terms:
-2x = -6
Dividing both sides by -2:
x= -6/-2
Simplifying:
x= 3
Answer: Both equations have the same value at x=3rms:
Write 5.9 x 10% in decimal form.write out the answer in decimal form
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0.59
Explanation:[tex]\begin{gathered} \text{Given:} \\ 5.9\text{ }\times\text{ 10\%} \end{gathered}[/tex]To write the number in decimal form, we need to convert the percent to decimal:
[tex]\begin{gathered} 10\text{ \% = }\frac{10}{100} \\ 10\text{ \% = }\frac{1}{10} \end{gathered}[/tex][tex]\begin{gathered} 5.9\text{ }\times\text{ 10\% = 5.9 }\times\text{ }\frac{1}{10} \\ =\text{ 5.9 }\times\text{ }0.1 \\ =\text{ }0.59 \end{gathered}[/tex]A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 60 feet. Ifthe material used to build the pen is $1.75 per foot for the longer sides and $2.50 per foot for the shorter sides(the shorter sides have gates, which increase the cost per foot), find the cost to build the pen.It costs $to build the fence.
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Answer:
It costs $120 to build a fence.
Explanation:
We first need to find the length of the longer side and the shorter side of the rectangle. So, let's call x the length of the rectangle and y the width of the rectangle.
If the rectangle is 2 times as long as it is wide, we can write the following equation:
x = 2y
If the perimeter is 60 feet, we can write the equation
2x + 2y = 60
Then, replacing the first equation on the second and solving for x, we get:
2x + x = 60
3x = 60
3x/3 = 60/3
x = 20 feet
Now, we can find the value of y
x = 2y
20 = 2y
20/2 = 2y/2
10 = y
Therefore, the length of the rectangle is 20 feet and the width is 10 feet.
Now, we can calculate the cost, multiplying the longer sides by $1.75 and the shorter sides by $2.5, so
C = 20(1.75) + 20(1.75) + 10(2.5) + 10(2.5)
C = 120
So, it costs $120 to build a fence.
Help me please I literally don’t understand any of this. I know it’s easy too.
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Holigina, this is the solution:
Let's recall that √x = x ^(1/2)
Therefore,
√x√x = x ^(1/2 + 1/2) = x^1 (We sum the exponents of the same base)
The correct answer is C. 1
Find the expected value of the winninfrom a game that has the followingpayout probability distribution:Payout ($) 146 810Probability 0.12 0.2 0.38 0.2 0.1Expected Value = [?]Round to the nearest hundredth.
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The expected value formula is given by;
[tex]\text{Expected value= }\sum ^{}_{}xPr(x)[/tex]Where x is the possible winning and Pr(x) is the probability of that same win.
Going through the table; we can compute the expected value of the winnings as;
[tex]\text{Expected value=1(0.12)+4(0.2)}+6(0.38)+8(0.2)+10(0.1)=5.8[/tex]Therefore, the expected value of winning is $5.8
Brandon will roll 2 number cubes, each labeled 1 to 6. What is the probability Brandon'sroll will have a sum of 4?
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Johnson, this is the solution to the problem:
We have two dice, each labeled 1 to 6.
In consequence, the highest sum after rolling the dices is 12 and the lowest is 2.
For calculating the sample space, we use:
6 (Numbers of the first dice) * 6 (Numbers of the second dice)
Sample space = 6 * 6 = 36
Now, let's find what are the options to have a sum of 4:
• 1 (First dice) + 3 (Second dice)
,• 2 (First dice) + 2 (Second dice), the order does not matter.
,• 3 (First dice) + 1 (Second dice)
Therefore, the probability Brandon's roll will have a sum of 4 is:
3/36 or 1/12 (simplfying).
What about the following describes a key features of the graph?
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The formula of a slope m of a straight line is given as;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Now, we will take any two convenient points on the graph;
[tex]\begin{gathered} point\text{ A(}0,-4) \\ \text{and point B(2, 2)} \end{gathered}[/tex][tex]undefined[/tex]
begins n ion Kuta Software - Infinite Algebra 2 Absolute Value Inequalities Solve each inequality and graph its solution. Name Samantha cebeles Date 3/8/2021 1) 1on1 S 18
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(-9k+k^4-70+7k^3)÷(7+k)
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-9k+k^4-70+7k^3 = k^4 + 7k^3 - 9k - 70
So,
(k^4 + 7k^3 - 9k - 70)/(k+7) = (k^3 - 9) + (-7)/(k+7)
Find the sum of the first 9 terms of the following series, to the nearest integer. 3, 15/4, 75/16...
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The series is a geometric series which is governed by the following formula:
[tex]\begin{gathered} T_n=ar^{n-1} \\ \text{where:} \\ T_n=nth\text{ term of the series} \\ a=\text{ first term of the series} \\ r=\text{common ratio of the series} \end{gathered}[/tex]Thus, we have that:
a = 3 ,
To find r, we have to solve for it as follows:
[tex]\begin{gathered} \text{since }T_n=ar^{n-1} \\ \text{Thus, the second term, }T_2\text{ is:} \\ T_2=ar^{2-1} \\ \Rightarrow T_2=ar^1 \\ \sin ce\text{ }T_2=\frac{15}{4},\text{ and a =3. we have:} \\ \Rightarrow T_2=ar \\ \frac{15}{4}=3\times r \\ 3\times r=\frac{15}{4} \\ \Rightarrow r=\frac{\frac{15}{4}}{3}=\frac{15}{4}\times\frac{1}{3}=\frac{5}{4} \\ \Rightarrow r=\frac{5}{4} \end{gathered}[/tex]Thus, r = 5/4
- Now the sum of the first n terms of a geometric series is given by the formula:
[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]Thus, the sum of the first 9 terms is:
[tex]S_9=\frac{3\times(\frac{5}{4}-1)}{\frac{5}{4}-1}[/tex]simplifying the above gives:
[tex]\begin{gathered} S_9=\frac{3\times((\frac{5}{4})^9-1)}{\frac{5}{4}-1} \\ \Rightarrow S_9=\frac{3\times(\frac{1953125}{262144}-1)}{\frac{5}{4}-\frac{4}{4}}=\frac{3\times(\frac{1953125-262144}{262144})}{\frac{5-4}{4}}=\frac{3\times\frac{1690981}{262144}}{\frac{1}{4}} \\ \Rightarrow S_9=3\times4\times\frac{1690981}{262144}=\frac{20291772}{262144}=77.4 \\ \Rightarrow S_9=77\text{ (to the nearest integer)} \end{gathered}[/tex]Therefore, the sum of the first 9 terms of the series is 77 (to the nearest integer)
Solving a percent mixture problem using a linear equationSamantha vEspelTwo factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels than Plant B did. Two percent of the panels from Plant A and 3% ofthe panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 860 defective panels?Number of panels produced by Plant :Х5?
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ANSWER
Number of panels produced by plant B: 20000
EXPLANATION
First we have to name the variables. We're looking for the number of panels produced by plant B and also we don't know the number of panels produced by plant A.
Let x be the number of panels produced by plant A and y the number of panels produced by plant B.
We know that plant A produced 7000 fewer panels than plant B. This as an equation is:
[tex]x=y-7000[/tex]To solve this we need to find another equation, because we have two variables.
The other equation is the one with the defective panels. The total number of defective panels produced by both plants is 860, and we know that represents the 2% of produced panels from plant A and 3% of produced panels from plant B. To find the number that represents that percentage we divide the percentage by 100 and multiply by the total amount. For the 2% of plant A this is:
[tex]\frac{2}{100}\cdot x=0.02x[/tex]And the 3% of plant B is:
[tex]\frac{3}{100}\cdot y=0.03y[/tex]So the second equation is:
[tex]0.02x+0.03y=860[/tex]Since we only want to find y, which is the number of panels produced by plant B, we can use the substitution method. Substitute the first equation into the second - in other words, replace x in the second equation by y - 7000:
[tex]0.02(y-7000)+0.03y=860[/tex]To solve for y, first apply the distributive property of multiplication:
[tex]\begin{gathered} 0.02y-0.02\cdot7000+0.03y=860 \\ 0.02y-140+0.03y=860 \end{gathered}[/tex]Add like terms:
[tex]\begin{gathered} (0.02y+0.03y)-140=860 \\ 0.05y-140=860 \end{gathered}[/tex]Add 140 on both sides of the equation:
[tex]\begin{gathered} 0.05y-140+140=860+140 \\ 0.05y=1000 \end{gathered}[/tex]And divide both sides by 0.05:
[tex]\begin{gathered} \frac{0.05y}{0.05}=\frac{1000}{0.05} \\ y=20000 \end{gathered}[/tex]This result means that plant B produced 20000 TV panels in total.
A multiplication expression with a product of 1,305,963 is shown below what’s the missing digit 56,781x. _ 3_______
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Answer:
Missing digit: 2
Explanation:
To find the missing digit, we need to divide the product 1,305,963 by 56,781. When we make the division, we get
1,305,963 ÷ 56,781 = 23
Therefore, the missing digit is 2 because
56,781 x 23 = 1,305,963
Seventh grade > R.18 Identify equivalent linear expressions I DRB Which expression is equivalent to 5(8a + 3)? 8a + 15 40a + 3 40a + 15 15a + 40
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Given the expression :
[tex]5\mleft(8a+3\mright)[/tex]Simplifying the expression:
[tex]\begin{gathered} =5\cdot8a+5\cdot3 \\ \\ =40a+15 \end{gathered}[/tex]so, the answer is the option: 40a + 15
Begin with quadratic equation ax^2+bx+c=0 Solve for x using the completing the square method deriving the quadratic formula.
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Solution:
Consider the quadratic equation:
[tex]ax^2+bx+c=0[/tex]to solve this quadratic equation by completing the square, we can perform the following steps:
Step 1: transform the equation so that the constant term c is alone on the right side:
[tex]ax^2+bx=-c[/tex]Step 2: If a, the leading coefficient, is not equal to 1, then divide both sides of the above equation by a:
[tex]x^2+\frac{b}{a}^{}x=-\frac{c}{a}[/tex]Step 3: add the square of half the coefficient of the x-term, to both sides of the equation:
[tex]x^2+\frac{b}{a}^{}x+(\frac{b}{2a})^2=-\frac{c}{a}\text{ }+(\frac{b}{2a})^2[/tex]Step 4: Factor the left side as the square of a binomial:
[tex](x+\frac{b}{2a})^2=-\frac{c}{a}\text{ }+(\frac{b}{2a})^2[/tex]now, if we denote by q = b/(2a) and by r the right side of the above equation, we get:
[tex](x+q)^2=r[/tex]Step 5: Take the square root of both sides, to obtain:
[tex]x+q^{}=\pm\sqrt[]{r}[/tex]Step 6: solve for x:
[tex]x=\pm\sqrt[]{r}\text{ - q}[/tex]Translate the sentence into an equation. Nine times the sum of a number and 3 is equal to 5. Use the variable y for the unknown number
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We have to translate the sentence into an equation.
Nine times means multiplied by nine
The sum of a number, lets call it y, and 3 is (x+3)
So if nine times the sum of a number and 3 is 5, we have:
[tex]9(y+3)=5[/tex]Answer: 9(y+3)=5
Using the inverse of a matrix solve the following system of equation. Give your answer as an ordered pair.
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We will have the following:
[tex]A=\mleft(\begin{array}{cc}3 & 7 \\ -1 & -1 \\ \end{array}\mright)\Rightarrow A^{-1}=\mleft(\begin{array}{cc}-\frac{1}{4} & -\frac{7}{4} \\ \frac{1}{4} & \frac{3}{4} \\ \end{array}\mright)[/tex][tex]\Rightarrow X=(A^{-1})B\Rightarrow X=\mleft(\begin{array}{cc}-\frac{1}{4} & -\frac{7}{4} \\ \frac{1}{4} & \frac{3}{4} \\ \end{array}\mright)\mleft(\begin{array}{c}-4 \\ 2 \\ \end{array}\mright)[/tex][tex]\Rightarrow X=\mleft(\begin{array}{c}-\frac{5}{2} \\ \frac{1}{2} \\ \end{array}\mright)[/tex]how to determine if a angle is complementary or supplementary
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Complementary angles are angles that add up to give 90 degrees.
As shown in the figure above, the sum of the measure of angle a and angle b will be equal to 90 degrees.
So, angle a and b are complementary angles.
Supplementary angles are angles that add up to give 180 degrees.
As shown in the figure above, the sum of the measure of angle r and angle s will be equal to 180 degrees.
So, angle r and angle s are supplementary angles.
Answer:
complementary = the angles add up to 90 degrees
supplementary = the angle add up to 180 degrees
Corey compares the heights of two plants to see which plant grows more per
week. The table shows the relationship between the height and number of
weeks for Plant 1. The graph shows the relationship between the height and
number of weeks for Plant 2.
Plant 1's work
omparison:
Plant 2's work
Answers
The plant that grows at the faster rate is plant 1 with a rate of change of 4.
What is the rate of change?Mathematically, the rate of change can be calculated by using this formula;
Rate of change, k = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Rate of change, k = (y₂ - y₁)/(x₂ - x₁)
Next, we would determine the rate of change of height with respect to number of weeks for Plant 1 (table) as follows:
Rate of change, k = (12 - 8)/(3 - 2)
Rate of change, k = 4/1
Rate of change, k = 4.
Also, we would determine the rate of change of height with respect to number of weeks for Plant 2 (graph) as follows:
Rate of change, k = (12 - 0)/(6 - 0)
Rate of change, k = 12/6
Rate of change, k = 2.
In this context, we can logically deduce that plant 1 has a faster rate of change of height with respect to number of weeks.
Read more on rate of change here: https://brainly.com/question/4184462
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Complete Question:
Corey compares the heights of two plants to see which plant grows more per week. The table shows the relationship between the height and number of weeks for Plant 1. The graph shows the relationship between the height and number of weeks for Plant 2. Which plant grows at the faster rate?
Brian wants to measure the height of a tree. He sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 37 ft from the tree, and Brian is standing 10.7 ft from the mirror, as shown in the figure. His eyes are 6 ft above the ground. How tall is the tree? figure is not to scale
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Given:
We have height of Brian is 6 ft, Brian is standing 10.7 ft from the mirror, mirror is 37 ft from the tree.
Required:
We need to find the height of tree.
Explanation:
Here triangle ABC and triangle EDC are similar triangles
so we can also apply that
[tex]\begin{gathered} \frac{AB}{BC}=\frac{ED}{DC} \\ x=37*\frac{6}{10.7}=20.75\text{ ft} \end{gathered}[/tex]Final answer:
The tree is 20.75 ft tall.
a shirt salesman receives 12.5% commission how much does he earn for 12 dozen shirts price at $8.75 each
Answers
1 dozen is 12.
So,
12 dozen is 12 x 12 = 144
Now,
Cost of 144 shirts at $8.75 each is:
[tex]\begin{gathered} 144\times8.75 \\ =\$1260 \end{gathered}[/tex]The salesman will receive 12.5% of $1260.
12.5% in decimal is
12.5/100 = 0.125
The commission is:
[tex]\begin{gathered} 0.125\times1260 \\ =\$157.50 \end{gathered}[/tex]What is the area of the shaded region in the rectangle?10 in.9 inA 45 in.2B90 in.2C 180 in.2D 360 in 2
Answers
Step 1: Let's calculate the area of the rectangle. as follows:
Area = Length * Width
Area = 10 * (2 * 9) We see that the base of the triangles is 9 and we have two triangles, thus the lenght of the rectangle is 2 * 9
Area = 10 * 18 square inches
Area = 180 square inches
Step 2: Let's calculate the area of the two triangles that form the shaded region:
Area = (Base - Height)/2
We can see that the base of the triangle is 9, and the height is also the width of the rectangle, 10.
Area = 9 * 10/2
Area = 90/2
Area = 45 square inches
Like we have two triangles, then the shaded area is:
Area = 45 * 2 (You can calculate this multiplication, Lizzy)
And that is the answer to our problem.
If we want to know the area of the non-shaded region, we proceed this way:
Area = Area of the rectangle - Area of the shaded region
Area = 180 - Area of the shaded region
The sea surface temperatures range from -2°C to 31°С. Find the difference between the maximum and minimum temperatures.
Answers
the difference is a subtraction
[tex]\begin{gathered} 31-(-2) \\ 31+2 \\ =33 \end{gathered}[/tex]the difference is 33