Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

using the diagram below, find the relation between x and y. $\frac{2}{x…

Question

using the diagram below, find the relation between x and y.
$\frac{2}{x}=\frac{y}{12}$
step 2
we must find $dy/dt$. the equation found in the previous step can be re - written as follows.
$y=
enter an exact number.
=24x$

Explanation:

Step1: Cross - multiply given equation

Starting with $\frac{2}{x}=\frac{y}{12}$, cross - multiplying gives $2\times12 = xy$, or $xy = 24$.

Step2: Solve for y

Dividing both sides of $xy = 24$ by $x$ (assuming $x
eq0$), we get $y=\frac{24}{x}=24x^{- 1}$.

Answer:

$24x^{-1}$