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Question

Two points on the y axis that are 25 units from (-24,3)

Answer

Okay class, we have a problem we need to solve. We have a point given to us: (-24, 3). Our task is to find two points on the y axis that are 25 units away from this point. The coordinates of these points will be (0, y). We can use the distance formula to solve for y. Remember the formula: D = √(y₂ - y₁)² + (x₂ - x₁)². By plugging in the appropriate values, we get: 25 = √(y + 3)² + 24². Simplifying this equation, we get y² - 6y - 40 = 0. Factoring this equation, we get (y - 10)(y + 4) = 0. Therefore, y could be either -4 or 10. This means that the two points on the y axis that are 25 units away from (-24, 3) will be (0, 10) and (0, -4). Keep in mind that we used the distance formula to solve for y. If you want to learn more about points and distance formula, check out brainly.com/question/25870256.