Answer:
8) |MZ|=8.1 units
9) |LY|=15.0 units
Step-by-step explanation:
Use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
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:
[tex]|MZ|=\sqrt{(3--4)^2+(3--1)^2}[/tex]
[tex]|MZ|=\sqrt{7^2+4^2}[/tex]
[tex]|MZ|=\sqrt{49+16}[/tex]
[tex]|MZ|=\sqrt{65}=8.1[/tex] units
9) We substitute the coordinates L(-7,0) and Y(5,9) into the formula to get:
[tex]|LY|=\sqrt{(5--7)^2+(9-0)^2}[/tex]
[tex]|LY|=\sqrt{12^2+9^2}[/tex]
[tex]|LY|=\sqrt{144+81}[/tex]
[tex]|LY|=\sqrt{225}=15.0[/tex]
