Question

Find the distance between (-4,9), (-5,3)

Answer 1

`√(37)`

Explanation:

Use the distance formula:

The distance, d, between points (x1, y1) and (x2, y2) is

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

Here you have points (-4, 9) and (-5, 3), so

`x_1 = -4`

`y_1 = 9`

`x_2 = -5`

`y_2 = 3`

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

`d = √((-5 - (-4))^2 + (3 - 9)^2)`

`d = √((-5 + 4)^2 + (-6)^2)`

`d = √((-1)^2 + 36)`

`d = √(1 + 36)`

`d = √(37)`

Answer 2

√37

Explanation:

the distance formula is

d = √(x2-x1)^2+ (y2-y1)^2

the x values are -4 and -5. the y values are 9 and 3. so you would plug in the x values to get -5 -(-4). double negatives make a positive, so you get -1. do the same with the y values to get -36. square those numbers to get 36 + 1 and keep the square root.