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olga2289 [7]
3 years ago
5

A triangle has the following vertices (-1,1), (6,-2)and (3,5) if the scale factor of 3, what will be the vertices of the image

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer:

  a.  (-3,3), (18,-6), (9,15)

Step-by-step explanation:

If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.

Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.

Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.

The only viable choice is choice A.

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Please help with this question
astraxan [27]

Answer:

x = -8/2

Step-by-step explanation:

To make the equation easier to work with, our first step will be to make all of our fractions have a common denominator. Both 2 and 4 are factors of 8, so that will be our common denominator.

Old Equation: 1/4x - 1/8 = 7/8 + 1/2x

New Equation (with common denominators): 2/8x - 1/8 = 7/8 + 4/8x

Now, we're going to begin to isolate the x variable. First, we're going to subtract 2/8x from both sides, eliminating the first variable term on one side completely.

2/8x - 1/8 = 7/8 + 4/8x

-2/8x                    -2/8x

__________________

-1/8 = 7/8 + 2/8x

We're one step closer to our x variable being isolated. Next, we're going to move the constants to the left side of the equation. To do this, we must subtract by 7/8 on both sides.

-1/8 = 7/8 + 2/8x

- 7/8  -7/8

______________

-1 = 2/8x

Our last step is to multiply 2/8x by its reciprocal in order to get the x coefficient to be 1. This means multiply both sides by 8/2.

(8/2)  -1 = 2/8x (8/2)

The 2/8 and 8/2 cancel out, and you're left with:

-8/2 = x

I hope this helps!

7 0
3 years ago
A lawyer charges $100 per month for a client. The lawyer also charges an hourly rate of $75 for work done. How many hours does t
Eduardwww [97]

Answer:

7 Hours

Step-by-step explanation:

Given The lawyer charges $100 per month for a client.

Also he charges $75 per hour

Let the hours he worked for the client be x

The money the lawyer gets from the hourly charges is $75x

The total money the lawyer charged is $625

total money = monthly charges + hourly charges

625=100 + 75x

75x=525

x=525/75=7

Therefore the lawyer has to work for 7 hours to charge $625

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3 years ago
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Answer:

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right top: (8x4)-(1x1) = 31

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