Question

The distance between the points (10, -2) and (4, 6) is 10.

True

False


=

Answer 1

True

Explanation:

Use the distance formula: x^2 + y^2 = d^2; where d=distance

x = x2 - x1

y = y2 - y1

(10, -2), (4, 6) ==> (x1=10, y1=-2), (x2=4, y2=6)

x = 4 - 10 ==> plug in 4 for x2 and 10 for x1

x = -6

y = 6 - (-2) ==> plug in 6 for y2 and -2 for y1

y = 6 + 2

y = 8

(-6)^2 + (8)^2 = d^2 ==> plug in x and y back into the distance formula

36 + 64 = d^2

100 = d^2 ==> simplify

d =
`√(100)`

distance = 10 ==> True