Question

If the distance between the points (0, y) and (8, 9) is 8 units, then the value of y is ______.

Answer 1

Answer:

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b = 0,y

b = 8,9

By distance formula

$8 = \sqrt{(x2 - x1) {}^{2} + (y1 + y2) {}^{2} } \\ 8 = \sqrt{64 + y {}^{2} + 18y + 81} \\ 8 = \sqrt{ {y}^{2} + 18y + 145} \\ 64 = {y}^{2} + 18y + 145 \\ {y}^{2} + 18y + 145 - 64 = 0 \\ {y}^{2} + 18y + 81 = 0 \\ {y}^{2} + 9y + 9y + 81 = 0 \\ y(y + 9) + 9(y + 9) = 0 \\ y = 9$

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