Question

Calculate the distance between the points G= (-9, 9) and C=(-3,4) in the coordinate plane. Give an exact answer (not a decimal approximation) Distance :

Answer 1

√61

Explanation:

To calculate the distance between the points G(-9, 9) and C(-3, 4) in the coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:

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

Here, (x1, y1) represents the coordinates of point G, and (x2, y2) represents the coordinates of point C.

Let's substitute the given values into the formula:

Distance = √((-3 - (-9))^2 + (4 - 9)^2)

= √(6^2 + (-5)^2)

= √(36 + 25)

= √61

So, the exact distance between points G and C is √61.