Question

Point C has a coordinate of (-6, -4) and point D has a coordinate of (1, -6), how far are they apart?

Answer 1

Answer: D=
`√(53)`

Explanation:

The distance between two points in a plane can be calculated using the distance formula, which is derived from the Pythagorean Theorem. The distance between points (x1, y1) and (x2, y2) is given by:

`D=\sqrt{(x2-x1)^(2) } +\sqrt{(y2-y1)^(2) }`

Use this formula to find the distance between points C and D.

C: x1 = -6, y1 = -4

D: x2 = 1, y2 = -6

`D=\sqrt{[(1-(-6)]^(2) } +\sqrt{[(-6-(-4)]^(2) }`

`D=√(49+4)`

`D=√(53)`