Question

Find the distance between two points (-5,8) and (19,53)

Answer 1

The answer would be C.51

Explanation:

Answer 2

The distance between the two points (-5,8) and (19,53) is calculated using the distance formula, resulting in 51 units.

The distance d between two points
`\left(x_1, y_1\right)` and
`\left(x_2, y_2\right)` in a Cartesian coordinate system can be calculated using the distance formula:

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

In your case, the two points are (−5,8) and (19,53). Plug these values into the formula:

`\begin{aligned}& d=√((19-(-5))^2+(53-8)^2) \\& d=√((24)^2+(45)^2) \\& d=√(576+2025) \\& d=√(2601) \\& d=51\end{aligned}`

So, the distance between the points (−5,8) and (19,53) is 51 units.