Find the distance between the pair of points and round to the nearest tenth.

(5,9) and (-7,-7)

1 answer

To find the distance between two points, we can use the formula:

Distance = √((x2 - x1)^2 + (y2 - y1)^2)

Let's substitute the given points into the formula:

Distance = √((-7 - 5)^2 + (-7 - 9)^2)

Simplifying inside the square root:

Distance = √((-12)^2 + (-16)^2)
Distance = √(144 + 256)

Calculating the sum inside the square root:

Distance = √400

Finding the square root:

Distance = 20

Rounding to the nearest tenth:

Distance ≈ 20.0

Therefore, the distance between the points (5,9) and (-7,-7) is approximately 20.0 units.