14-09-2021
Mathematics

contestada

The length of a line segment ST is 17 units.
S is at (-4,9) and T is at (4, y).
Find the positive value of y.

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Аноним Аноним

14-09-2021

Answer:

y = 24

Step-by-step explanation:

Pythagorean theorem

17² = (-4 - 4)² + (9 - y)²

17² = (-8)² + (81 - 18y + y²)

289 = 64 + 81 - 18y + y²

0 = y² - 18y - 144

0 = (y - 24)(y + 6)

y = 24

or

y = - 6

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