Question

Find the distance between the points g(-5,4) and h(2,\6) .

Answer 1

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

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

In this case, (x1, y1) = (-5, 4) and (x2, y2) = (2, 6).

So, the distance between g(-5, 4) and h(2, 6) is:

d = sqrt((2 - (-5))^2 + (6 - 4)^2)
= sqrt(7^2 + 2^2)
= sqrt(49 + 4)
= sqrt(53)

Therefore, the distance between the two points is sqrt(53).