Question

Calculate the distance between the points =H, 0−2 and =B, −33 in the coordinate plane. Round your answer to the nearest hundredth.

Answer 1

To calculate the distance between two points in the coordinate plane, you can use the distance formula. In this case, the distance between the points H(-2, 0) and B(-3, -33) is approximately 33.03 units.

Step-by-step explanation:

To calculate the distance between two points in the coordinate plane, we can use the distance formula. The distance formula states that the distance between two points (x1, y1) and (x2, y2) is given by:

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

For the given points H(-2, 0) and B(-3, -33), we can substitute the coordinates into the formula to find the distance:

d = sqrt((-3 - (-2))^2 + (-33 - 0)^2)

d = sqrt((-1)^2 + (-33)^2)

d = sqrt(1 + 1089)

d = sqrt(1090)

d ≈ 33.03

Therefore, the distance between the points H(-2, 0) and B(-3, -33) is approximately 33.03 units.