Question

Use the distance formula to find the distance, to the nearest tenth, from R(3, −6) to U(−7, 1).

Answer 1

`d_R_U=12.2\ units`

Explanation:

we know that

the formula to calculate the distance between two points is equal to

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

we have the ordered pairs

R(3, −6) to U(−7, 1)

substitute in the formula

`d_R_U=\sqrt{(1+6)^(2)+(-7-3)^(2)}`

`d_R_U=\sqrt{(7)^(2)+(-10)^(2)}`

`d_R_U=√(49+100)`

`d_R_U=√(149)\ units`

`d_R_U=12.2\ units`