3 years ago

Two variables, x and y, vary inversely, and x=12 when y=4. What is the value of y when x=3?

1 answer:

5 0

Hey there! Thanks for asking your question here on Brainly!

For this sort of problem, we'll use the equation y = k/x, which is for inverse variations. First, we'll need to solve for k.

4 = k/12

k = 48

Next, we'll need to plug k into our equation from the beginning, as well as 3 for x in order to solve for y.

y = 48/x

y = 48/3

y = 16

Therefore, your answer is y = 16.

Hope this helps!! :)

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Solve for the unknown side in the right triangle if b=24 and c=26 find a

cluponka [151]

Answer:

Option C

Step-by-step explanation:

Use the <u>Pythagorean Theorem</u> to find the unknown side.

$a^2+b^2=c^2$

<h3>We are given that:</h3>

b=24

c=26

We need to solve for a.

$a^2+24^2=26^2\\\\ \text {Solve Exponents:}\\\rightarrow 24^2 = 576\\\rightarrow 26^2 = 676\\\\a^2+576=676\\\rightarrow a^2+576-576=676-576 \text{ (Subtraction Property of Equality)}\\a^2=100\\\sqrt{a^2} =\sqrt{100} \text { (Take the square root on both sides.) }\\\\\boxed {a=100}$