Please help me! I don't understand how to solve.
Solve each equation for the given variable.
37. x/a - 1 = y/b for x
39. V = 1/3 * pi * r^2 * h for h
What do these equations mean? I am super confused. Please help.
37. Add 1 to both sides, then multiply that by a.
39. Multiply both sides by 3, then divide by π and r^2.
PsyDAY, so is this correct for number 37?
37. x = a + ay/b
I need your help on 39. I'm stil1 not getting it.
Sure! I can help you understand and solve these equations step by step.
37. x/a - 1 = y/b for x:
To solve this equation for x, we need to isolate x on one side of the equation.
Step 1: Move the terms without x to the other side.
You can start by adding 1 to both sides of the equation to get rid of the -1.
x/a = y/b + 1
Step 2: Multiply both sides of the equation by a.
This will cancel out the a on the left side.
(a)(x/a) = (a)(y/b + 1)
x = (ay/b) + a
So the solution to this equation is x = (ay/b) + a.
39. V = 1/3 * pi * r^2 * h for h:
This equation represents the formula for the volume (V) of a cone. It is given by the product of the base area (πr^2) and the height (h), multiplied by 1/3.
Now, let's solve the equation for h.
Step 1: Multiply both sides of the equation by 3.
This will cancel out the 1/3 on the right side.
3V = pi * r^2 * h
Step 2: Divide both sides of the equation by pi * r^2.
This will isolate h on the right side.
h = 3V / (pi * r^2)
Therefore, the solution to this equation is h = 3V / (pi * r^2).
I hope this explanation and step-by-step guide help you understand how to solve these equations. Let me know if you have any further questions or need more clarification!