Question

PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWER PLEASE

Answer 1

Answer:

$a) x = k \times \frac{1}{y^2} \ , \ where \ k \ is \ a \ constant\\\\b) x = 3, \ when\ y\ =\ 10\\\\c) y = 10, \ when \ x = 3$

Step-by-step explanation:

a)

$x \ \alpha \ \frac{1}{y^2}\\\\x = k \times \frac{1}{y^2}$                $[ \ where \ k \ is \ a \ constant \ ]$

Find k.

Given x = 12, y = 5,

$12 = k \times \frac{1}{5^2}\\\\k = 12 \times 25 = 300$

b)

Find x.

Given y = 10

We have k = 300

$x = k \times \frac{1}{y^2}\\x = 300 \times \frac{1}{10^2} \\\\x= \frac{300}{100} = 3$

c)

Find y

Given x = 3

We have k = 300

$x = k \times \frac{1}{y^2}\\\\3 = 300 \times \frac{1}{y^2}\\\\\frac{1}{y^2} = \frac{3}{300}\\\\\frac{1}{y^2} = \frac{1}{100}\\\\y^2 = 100\\\\y = \sqrt{100} = 10$