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?

Respuesta :

The midpoint formula is [tex] \frac{ x_{1} + x_{2} }{2}, \frac{ y_{1}+ y_{2} }{2} [/tex]
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=[tex] \sqrt{({y_{2}- y_{1} }^{2}) + ({ x_{2}- x_{1}}^{2} ) } [/tex]
In this case now, your looking for the distance from Hannah's house to Kenya's house.
D=[tex] \sqrt{(-5-2)^{2} + (-5-0)^{2} } [/tex]
=[tex] \sqrt{49+25} [/tex]
=[tex] \sqrt{74} [/tex] ≈8.6023

Answer:8.60

Step-by-step explanation: