Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Answers

Answer 1

Dilation involves changing the size of a shape.

The true statement is that the locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

The given parameters are:

[tex]k =3[/tex] --- the scale factor

[tex]E = (-4,0)[/tex]

[tex]F =(0,2)[/tex]

Multiply the coordinates of point E and F by the scale factor (k), to determine the new coordinates of E and F.

[tex]E' = E \times k[/tex]

[tex]E' = (-4,0) \times 3[/tex]

[tex]E' = (-12,0)[/tex]

[tex]F' = F \times k[/tex]

[tex]F' = (0,2) \times 3[/tex]

[tex]F' = (0,6)[/tex]

Given that line g is represented by points E and F; line g' would be represented by points E' and F'

So, both lines would be parallel.

Hence, the true option is (d)

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Answer 2

Answer:

The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

Step-by-step explanation:


Related Questions

1 and 1/5- 1/3=
please give the right answer

Answers

Answer:

87/100

Step-by-step explanation:

The manager of an electronics store projects that the store should achieve more than $21,000 in revenue from TVs and DVD players every day in order to remain profitable. Its DVD players sell for $380, and TVs sell for $530.
Write an inequality in standard form that describes this situation. Use the given numbers and the following variables.

Answers

Answer:

380d + 530t > 21,000

Step-by-step explanation:

Each DVD costs $380, we can represent that as:

380d

Each TV costs $530, we can represent that as:

530t

We add these together to find the total profit:

380d + 530t

The manager predicts that whatever the total profit is, will be more than $21,000. So, we represent that as this:

380d + 530t > 21,000

And that is the final answer.

I hope this helps!!

- Kay :)

What is the answer to:
1/6(30x+18)≥13

Answers

Answer:

x ≥ 2

Step-by-step explanation:

1/6(30x+18) ≥ 13

Distribute the left side

5x + 3 ≥ 13

Subtract 3 from both sides

5x ≥ 10

Divide both sides by 5

x ≥ 2

How are √25 and √-25 different in the terms of a solution for both? *

Answers

Answer:

For [tex]\sqrt{25}[/tex] it will be plus or minus [tex]\sqrt{5}[/tex]

For [tex]\sqrt{-25}[/tex] it will be plus or minus [tex]\sqrt{5i}[/tex]

Step-by-step explanation:

Well for [tex]\sqrt{-25}[/tex] it will be 5i

Because i = -1  

The height above ground of a cannon is a function of the time since it was shot.
Question: When time equals 0, why is the height of the cannon ball not equal to 0? Describe the domain of this function. Describe the range.

Answers

At t = 0 the height is not zero because the cannonball is at the end of the barrell of the cannon.

If we define H as the maximum height and T as the time when the cannonball hits the ground, the domain and range are:

domain: [0, T]

range: [0, H]

When time equals 0, why is the height of the cannon ball not equal to 0?

The height is modeled by the graphed parabola.

The height equal to zero would mean that the cannonball is on the ground. Now, at t = 0 we assume that the cannonball is leaving the barrel of the cannon (which is at some given height above the ground). This is why at t = 0 the height of the cannonball is not equal to 0.

Now we also want to describe the domain and range of the graphed function. The domain is the set of the inputs of the function, we can see that it goes from t = 0, when the cannonball is shooted, to a given time T which is when the cannonball reaches the ground.

For the range (the set of the outputs) we can see that it will go from 0 (the ground) to the maximum value that we can see in the graph, a height H.

So, domain: [0, T]

      range: [0, H]

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Given the following graph...
A. Evaluate f(4)
B. Solve for f(x)=2

Answers

Your question was incomplete. Please refer below for the graph.

We need to know about graph of a function to solve this problem. The answer to (A) is f(4)= -3 and (B) for x= f(x)=2 solutions are -5 and -1.

In a graph of a function, the input values are along the x-axis and the output values are along the y-axis. At any point, the x-coordinate gives the value that is entered and the y-coordinate gives the result. For any point lying on the y-axis, x-coordinate is 0 and for any point lying on the x-axis, y-coordinate is 0. In the given graph we need to first find the value of f(4). For this we see at what point on the graph a vertical line from x=4 intersects with the line. The intersection point is (4,-3), so f(4)=-3. For part (B) we need to solve for f(x)=2, we have to draw a horizontal line from y=2 to see where it intersects with the graph, here we find two intersection points (-5,2) and (-1,2) so we have two solutions for f(x)=2, -5 and -1.

Therefore we evaluated f(4) to get -3 and we got two solutions for f(x)=2, -5 and -1.

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Spencer needs 2 gallons of paint to create a mural. He has 3/8 gallon of yellow and 1/4 gallon of blue paint. Drag amounts of paint Spencer can add to the paint he already has to make exactly 2 gallons of paint. HOW MANY 1/8 DO I PUT AND HOW MANY 1/4 DO I PUT?​

Answers

Answer:

He currently has 5/8 of a gallon. He needs 11/8 more paint to finish his mural.

Add 11/8 gallons or 5/4 and 1/8 of a gallon.

Step-by-step explanation:

Answer:

1 of 1/8 and 5 of 1/4

Step-by-step explanation:

3/8 times 1/4 is 11/8 and 5 of 1/4 is 10/8 and plus 1/8 equals  11/8

2/5 equals x over 15 what is X

Answers

I don’t see the answer choices but the answer is 6

0.5 divided by 10 please help me

Answers

Answer:

0.05

Step-by-step explanation:

What is the value of k?

–36 = k – 6

Answers

Add 6 to both sides
Solution: k = -30

Answer:

-30

Step-by-step explanation:

-36+6=k

-30=k

k= -30

WILL GIVE BRAINLIEST, Can somebody please help me with this question?

Answers

Answer:

d

Step-by-step explanation:

f(x)-g(x)=2x²+4x-6-[2x²+2x+8]=2x²+4x-6-2x²-2x-8=2x-14

The answer is d ........

105 is divisible by what 2 5 10

Answers

By 5 your welcome check it before submitting tho

Which point represents the approximate location of 90 ? A) point A B) point B C) point C D) point D

Answers

Answer:

C

Step-by-step explanation:

I took the test

could you guys help me with all 3 pls

Answers

Answer:

1. -5×-5×-5=125

2. 35

3. 22

Step-by-step explanation:

I know the first two are right but unsure about last one.

Elena and jade are 12 miles apart on a path when they star moving toward each other . Elena runs at a constant speed of 5 miles per hour , and jada wake at a constant speed of 3 miles per hour. how long does it take until Elena and jada meet?

Answers

Answer:

1.5 hrs

Step-by-step explanation:

just need the bottom answer I’ll give Brainly please!

Answers

Answer:

9# |  914

Step-by-step explanation:

I gotchu fam!

Stem and leaf plots separate the tens place (the stem) from all the ones places (the leaves) in a data set. Therefore, for the given data set, all the numbers with the 9 tens place are:

99, 91, and 94

Therefore, the stem and leaf plot would be

9# |  914

In the triangle below, If Sin B =5/13, Find the Tan A

Answers

Answer: tgA=12/5

Step-by-step explanation:

[tex]\displaystyle\\0^0 < B < 90^0\\sin^2B+cos^2B=1\\sin^2B+cos^2B-sin^2B=1-sin^2B\\cos^2B=1-sin^2B\\cos^2B=1-(\frac{5}{13})^2\\\\cos^2B=1-\frac{5^2}{13^2} \\\\cos^2B=1-\frac{25}{169} \\\\cos^2B=\frac{1*169-25}{169} \\\\cos^2B=\frac{144}{169}\\\\\sqrt{cos^2B} =\sqrt{\frac{144}{169} } \\\\cosB=б\sqrt{\frac{12^2}{13^2} } \\\\cosB=б\sqrt{(\frac{12}{13})^2 } \\\\cosB=б\frac{12}{13} \\\\As,\ 0^0 < B < 90^0\\\\cosB=\frac{12}{13} \\\\[/tex]

[tex]\displaystyle\\tgB=\frac{sinB}{cosB}\\\\ tgB=\frac{\frac{5}{13} }{\frac{12}{13} } \\\\tgB=\frac{5}{12} \\\\tgA=tg(90^0-tgB)\\\\tgA=ctgB\\\\tgA=\frac{1}{tgB} \\\\tgA=\frac{1}{\frac{5}{12} }\\\\ tgA=\frac{12}{5}[/tex]

What angle would you use to represent 40 red cars out of 90 cars in total on a pie chart?​

. 40 degree
. 4 degree
. 160 degree
90 degree

Answers

Answer:

4

Step-by-step explanation:

i just know I took the test and I choose 90 and got it wrong

The height, above the ground, of a block on a vertical spring is a sinusoidal (trigonometric) function of time. In the interval from time 2.1 seconds to time 2.7 seconds, the block's height decreases from its maximum of 48 inches to its minimum of 30 inches. Which function h(t) could model the block's height in inches above the ground at time t seconds?

Answers

The cosine function that could model the block's height in inches above the ground at time t seconds is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

What is the cosine function?

The cosine function is defined as follows:

g(x) = acos(bx+c)+d.

The coefficients have these following roles:

a: amplitude.b: The period is of 2pi/B.c: phase shift.d: vertical shift.

In this problem, we have that the maximum value is of 48 and the minimum value is of 30(difference of 18), hence the amplitude is given as follows:

2a = 18

a = 9.

A standard cosine function with amplitude 9 would vary the between -9 and 9, while this one varies between 30 and 48, hence the vertical shift is of d = 39.

The minimum and maximum values form half the period, hence:

π/B = 2.7 - 2.1

B = π/0.6

B = 1.67π.

The maximum value in the standard function is at x = 0, while at this function is at x = 2.1, hence the phase shift is of 2.1 units to the right, that is, c = -2.1.

Hence the cosine function is:

h(t) = 9cos(1.67π(x - 2.1)) + 39.

This function is graphed at the end of the answer, showing that the minimum and the maximum values are as desired.

More can be learned about cosine functions at brainly.com/question/21558626

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please help me I do not understand what to do​

Answers

Answer:

3 7/12

Step-by-step explanation:

There are 12 inches in 1 feet. So 43 inches would be 43/12=3 7/12 feet.

What they said bleh

√7.5×√3.5 step and answer​

Answers

Answer:

√105/2

Step-by-step explanation:

Given the surd expression √7.5×√3.5, this can also be expressed as;

√7.5×√3.5

= √75/10 × √35/10

= √(75×35)/10×`10

=√105×25/100

= 5√105/√100

=5√105/10

=√105/2

Hence the required expression a √105/2

What is the arithmetic mean of the following numbers?
10, 6, 4, 4, 6, 4, 1

Answers

Answer:

5

Step-by-step explanation:

b = [tex]\frac{(a+c)}{2}[/tex]

10+6+4+4+6+4+1 = 35.

35/7 = 5

b = 5

Number is 5 because if you take the arithmetic you multiple

Match each function with the correct translation of the parent function f(x) = |x|.
f(x)= |x|-4
f(x) = |x+ 41
f(x) = |x| +4
f(x) = |x-41
vertical translation up 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation down 4 units

Answers

The translation of the parent function f (x) = | x | depends upon whether x value has been changed of whether the y value has been changed.

We are given the parent function as:

f (x) = | x |

Now, we need to match the functions with their correct translations.

For the function f (x) = | x | - 4:

This can also be written as:

f (x) + 4 = | x |

So, the translation will be vertical translation up 4 units.

For the function f (x) = | x + 4 | :

The translation for this will be horizontal translation right 4 units as x will increase by 4 units.

For the function f (x) = | x | + 4:

This can also be written as:

f (x) - 4 = | x |

So, the translation will be vertical translation down 4 units.

For the function f (x) = | x - 4 | :

The translation for this will be The translation for this will be horizontal translation right 4 units as x will increase by 4 units as x will decrease by 4 units.

Therefore, we get that, the translation of the parent function depends upon whether x value has been changed of whether the y value has been changed.

Learn more about translation here:

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A function, fix), models the depth of water in a wading pool that is filling at a rate of 11 gallons per minute. Which of these
describes why f(x) can be considered a linear function?
I. For every 1 minute interval, the depth of water in the wading pool increases by the same amount.
II. The function grows by equal factors every minute.
III. The slope of the function is constant.


a. I only
b. I and III only
c. II and III only
d. I, II, and III

Answers

Answer: the answer is C trust me bye

Step-by-step explanation:

Choose the equivalent expression
(8¹⁰)²

A. 8²⁰
B. 8¹²
C.8⁸
D. 8⁵​

Answers

8^20 .....................
hey:) the answer is “8’20” hope you have a great day


A population grew from 100,000 in 1990 to 124.000 in 2000. What was the percent of increase?

Answers

Answer:

24%

Step-by-step explanation:

Wendy stops running
A.Speed
B.Velocity
C.Acceleration

Answers

Answer:

i think is c tell me if im right

It should be C velocity

I need help with this

Answers

It looks like C but I’m not too sure

Answer:i think the anwser is b

Step-by-step explanation:

Mary turns the water on for her bath at 8:00pm. The water runs at 8.2 liters per minute. After 3 minutes, Mary's little brother pulls the plug on the bathtub and the water drains out at 5 liters per minute. To the nearest minute, when will there be 80 liters in the bathtub

Answers

8.2 x 3 = 24.6 litres after 3 minutes (8:03pm)

24.6/5 = 4.92 minutes with 0 litres (8:08pm)

80/8.2 = 9.7560976 minutes for 80 litres (8:18pm)

Answer = 8:18pm

Tina had $17. She bought candy that cost $0.78. Then, her mom gave her $6.76 three and a half times. How much money does she have now?

Answers

Answer:

$39.88

Step-by-step explanation:

She started with $17

spent $0.78 so

17-0.78 = $16.22

then she got $6.76 3.5 times so

6.76*3.5 = 23.66 and that's what her mom gave her

23.66 + 16.22 = 39.88

She now has a total of $39.88

the answer would be: 39.88

because

17-0.78=16.22

and

6.76*3.50=23.66

so

23.66+16.22=39.88

hope this helps

have a fantastic day/night

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