Question

On the coordinate grid of a map. Jeff's house is located at (9,5). Hannah's house is at (-5,-5). Kenya's house is located at the midpoint between Jeff and Hannah's houses. What is the distance from Hannah's house to Kenya's house?

Answer 1

The midpoint formula is $\frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2}$
So just plug in the corresponding coordinates in the correct place to get the midpoint.
x_1=-5 ; x_2=9 ;  y_1=-5 ; y_2=5
((-5 + 9)/2 , (-5 + 5)/2)
(4/2 , 0/2)
(2,0) is where Kenya's house is(which is the midpoint). 

The distance formula is a bit more complicated than that. The distance formula is D=$\sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) }$
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D=$\sqrt{(-5-2)^{2} + (-5-0)^{2} }$
=$\sqrt{49+25}$
=$\sqrt{74}$ ≈8.6023

Answer 2

Answer:8.60

Step-by-step explanation: