Question

I will mark brainly, help me with this question please.​

Answer 1

Step-by-step explanation:

Since $x$ varies directly as $\sqrt{y}$ we can write the relation as

$x = k\sqrt{y}$

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

$5 = k\sqrt{13} = k(13)$

$\Rightarrow k = \dfrac{5}{13}$

b) The equation relation x and y can be written as

$x = \dfrac{5}{13}\sqrt{y}$

c) When y = 9,

$x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}$