Question

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

Answer 1

Answer:

8) |MZ|=8.1 units

9) |LY|=15.0 units

Step-by-step explanation:

Use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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:

$|MZ|=\sqrt{(3--4)^2+(3--1)^2}$

$|MZ|=\sqrt{7^2+4^2}$

$|MZ|=\sqrt{49+16}$

$|MZ|=\sqrt{65}=8.1$ units

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

$|LY|=\sqrt{(5--7)^2+(9-0)^2}$

$|LY|=\sqrt{12^2+9^2}$

$|LY|=\sqrt{144+81}$

$|LY|=\sqrt{225}=15.0$