1. Find the distance between the pair of points. Round to the nearest tenth is necessary. (-10, 4) and (6, 12)

a. 11.4
b. 17.9
c. 31.4
d. 23.7

2. Find the distance between the pair of points. Round to the nearest tenth, if necessary. (-8,10) and (-2,10)
a. 13.6
b. 21.2
c. 23.4
d. 6.0

Please just explain how to do this. Thank you!

2 answers

(-10, 4) and (6, 12)
distance is hypotenuse of right triangle

d^2 = (X2-X1)^2 + (Y2-Y1)^2
d^2 = (6-(-10)^2 + (12-4)^2
d^2 = 16^2 + 8^2
d^2 = 256 + 64
d^2 = 320
d = sqrt(320) = 17.89
(4,-5), (-3,-3)