Question

Which expression gives the distance between the points

(2, 3) and (4, -3)?
OA. (2-3)²+(4+3)²
O B. (2-4)²+(3+3)²
OC. √(2-4)2+(3+3)²
O D. (2-3)²+(4+3)²

Answer 1

To find the distance between two points in the coordinate plane, use the distance formula and plug in the coordinates. In this case, the answer is 2sqrt(10).

Step-by-step explanation:

To find the distance between two points in the coordinate plane, we can use the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). In this case, the points are (2, 3) and (4, -3). Plugging the coordinates into the formula, we get: d = sqrt((4 - 2)^2 + (-3 - 3)^2).

Simplifying further, we have: d = sqrt(2^2 + (-6)^2) = sqrt(4 + 36) = sqrt(40) = 2sqrt(10).

Therefore, 2sqrt(10) is the distance between the points (2, 3) and (4, -3).

Learn more about Finding the distance between two points in the coordinate plane