The formula for the surface area of a sphere is SA = 4πr2
Which equation shows the formula in terms of r?
Responses
r = 2SA/4π
r = √SA/2π
r = √SA/4π
r = √4SA/π
r = √SA/4π
Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation.
2x - 5 = 3(4x + 5)
Step 1: Distribute the 3 on the right side of the equation.
2x - 5 = 12x + 15
Step 2: Simplify the equation by combining like terms.
-10x - 5 = 15
Step 3: Add 10x to both sides of the equation to isolate the variable term.
-10x + 10x - 5 = 15 + 10x
-5 = 10x + 15
Step 4: Subtract 15 from both sides of the equation.
-5 - 15 = 10x + 15 - 15
-20 = 10x
Step 5: Divide both sides of the equation by 10 to solve for x.
-20/10 = 10x/10
-2 = x
Step 6: Simplify the solution.
x = -2
Therefore, the solution to the equation 2x - 5 = 3(4x + 5) is x = -2.
The equation that shows the formula for the surface area of a sphere in terms of r is:
r = √SA/4π