Question

The point (5,1) is equidistant from (1,y) and (10, -3). Determine the value of y. i need help please quicklyyyy

Answer 1

The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.

What is the value of the missing coordinate?

In this problem we have two points that are equisdistant to a third point, then we must solve the following Pythagorean form:

(1 - 5)² + (y - 1)² = (10 - 1)² + (- 3 - y)²

16 + (y - 1)² = 81 + (- 3 - y)²

(y - 1)² - (- 3 - y)² = 65

(y² - 2 · y + 1) - (9 + 6 · y + y²) = 65

- 8 · y - 8 = 65

y = 73 / - 8

y = - 9.125

The missing value of y such that the point (1, y) is equidistant from the points (5, 1) and (10, - 3) is - 9.125.

To learn more on equidistant points: brainly.com/question/28038252

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