Question

I NEED HELP ASAP

a circle has diameter 12 its lowest point is (5,-9) and its leftmost point is (-1,-3)
find the distance between the two points. ​

Answer 1

It seems a bit strange why your teacher mentioned the circle and diameter, when all we need really are the coordinates of the two points.

I'll use the distance formula.

`(x_1,y_1) = (5,-9) \text{ and } (x_2, y_2) = (-1,-3)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((5-(-1))^2 + (-9-(-3))^2)\\\\d = √((5+1)^2 + (-9+3)^2)\\\\d = √((6)^2 + (-6)^2)\\\\d = √(36 + 36)\\\\d = √(72)\\\\d = √(36*2)\\\\d = √(36)*√(2)\\\\d = 6√(2)\\\\d \approx 8.485281\\\\`

The exact distance is
`6√(2)` units

This approximates to 8.485281 units. Round this value however needed.