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motikmotik
3 years ago
6

Find the other endpoint given the following Endpoint: (5,-3) Midpoint: (7,-6)

Mathematics
1 answer:
dusya [7]3 years ago
7 0

The answer is (9, -9) for The second endpoint.  

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 5)/2 = 7

Kx + 5 = 14

Kx = 9

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -3)/2 = -6

Ky + 3 = -12

Ky = -9

This gives us the final point of (9, -9)

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Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

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