Question

Calculate the distance between the points C=(-9, 9) and Q =(-1, 2) in the coordinate plane.

Give an exact answer (not a decimal approximation).

Answer 1

The distance between the points C=(-9, 9) and Q=(-1, 2) is sqrt(113), you can use the distance formula which is based on the Pythagorean theorem.

Step-by-step explanation:

To calculate the distance between two points in a coordinate plane, you can use the distance formula which is based on the Pythagorean theorem.

The distance between two points (x1, y1) and (x2, y2) is given by the formula:

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

So for the points C=(-9, 9) and Q=(-1, 2), the distance is:

d = sqrt(((-1) - (-9))^2 + (2 - 9)^2)

= sqrt((8)^2 + (-7)^2)

= sqrt(64 + 49)

= sqrt(113)