Question

PLEASE HELP ME IVE POSTED THIS 765678 AND STILL NO RESPONSE

Answer 1

Problem 1

Answer: 6.7

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Work Shown:

The two points are
`(x_1,y_1) = (1,-2)` and
`(x_2,y_2) = (4,4)`

Apply the distance formula to get the following

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((1-4)^2 + (-2-4)^2)\\\\d = √((-3)^2 + (-6)^2)\\\\d = √(9 + 36)\\\\d = √(45)\\\\d \approx 6.7082039\\\\d \approx 6.7\\\\`

The distance between the two endpoints is roughly 6.7 units. This is the same as saying the segment is roughly 6.7 units long.

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Problem 2

Answer: 3.6

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Work Shown:

We'll use the distance formula here as well.

This time we have the two points
`(x_1,y_1) = (3,1)` and
`(x_2,y_2) = (5,-2)`

The distance between them is...

`d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((3-5)^2 + (1-(-2))^2)\\\\d = √((3-5)^2 + (1+2)^2)\\\\d = √((-2)^2 + (3)^2)\\\\d = √(4 + 9)\\\\d = √(13)\\\\d \approx 3.6055513\\\\d \approx 3.6\\\\`

This distance is approximate.