Question

Distance Formula

d = 1(x, - x) + (yz – y.)
Find the distance between the points (-9,-2) and (-1,4). Round to the nearest tenth if necessary.

Answer 1

`d=\sqrt(x2-x1)^(2) + (y2-y1)^(2)`

Explanation:

1- Identify the x and the y

x1= -9

x2=-1

y1= -2

y2= 4

2- solve the equation:

d=
`\sqrt\`((-1)-(-9))
`^(2)` + (4-(-2))
`^(2)`

d=
`\sqrt`(8)
`^(2)` + (6)
`^(2)`

=
`\sqrt`64 + 36

=
`\sqrt`100

d=10.0 answer to the nearest Tenth