Question

point B has coordinates -4,-2. The x-coordinate of point A is 5. The distance between point a and point B is 15 units

Answer 1

Step-by-step explanation:

Let the y coordinate of A be y.

According to the distance formula, distance between two points A(x, y) and B(a, b) is given by:(see photo)

Solution is attached

Answer 2

The y coordinate of point A is either 10 or -14.

Given:

coordinates of point B are (-4, -2)

x coordinate of point A is 5

the distance between points A and B = 15 units

To Find:

the y coordinate of point A

Solution:

let the y coordinate of point A be p

then, the distance between A and B can be calculated as-

AB = √{(5 + 4)² + (y + 2)²}

15 = √{9² + (y + 2)²}

225 = (81 + y² + 4 + 4y)

140 = y² + 4y

y² + 4y - 140 = 0

y² - 10y + 14y - 140 = 0

y(y - 10) + 14(y - 10) = 0

(y + 14)(y - 10) = 0

y = 10 or -14

Thus, the y coordinate of point A is either 10 or -14.

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