Question

Find the distance between the two points rounding to the nearest tenth (if necessary).
left bracket, 0, comma, minus, 9, right bracket, and , left bracket, minus, 4, comma, minus, 3, right bracket
(0,−9) and (−4,−3)

Answer 1

Using the formula for calculating distance between two points in a coordinate plane, we have:

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

Plugging in the values from the given points, we get:

Distance = sqrt((-4 - 0)^2 + (-3 - (-9))^2)
Distance = sqrt((-4)^2 + (-3 - (-9))^2)
Distance = sqrt((-4)^2 + (-3 + 9)^2)
Distance = sqrt((-4)^2 + (6)^2)
Distance = sqrt(16 + 36)
Distance = sqrt(52)

Rounding to the nearest tenth, the distance between the two points is approximately 7.2.