Question

find the value of y if the distance between the points (2,y) and (-4,3) is 10 ​

Answer 1

Answer:

See the answer in photo

Step-by-step explanation:

Answer 2

Two points

(2,y) and (-5,3)

So A/Q

.

$\sqrt{(2 + 4) ^{2} + (y - 3)^{2} } = 10$

Squaring both sides

$36 + y^{2} + 9 + 6y = 100 \\ \\ y ^{2} + 6y - 55 = 0 \\ \\ y(y + 11) - 5(y + 11) = 0 \\ \\ either \: y = - 11 \: or \: 5$