Question

I need the answer and work to 8 or 9 or both if you can !

Answer 1

8) |MZ|=8.1 units

9) |LY|=15.0 units

Explanation:

Use the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the graph, point M has coordinates; M(-4,-1) and Point Z has coordinates Z(3,3)

We plug in these values into the distant formula to get:

`|MZ|=√((3--4)^2+(3--1)^2)`

`|MZ|=√(7^2+4^2)`

`|MZ|=√(49+16)`

`|MZ|=√(65)=8.1` units

9) We substitute the coordinates L(-7,0) and Y(5,9) into the formula to get:

`|LY|=√((5--7)^2+(9-0)^2)`

`|LY|=√(12^2+9^2)`

`|LY|=√(144+81)`

`|LY|=√(225)=15.0`