Question

Find the solution for x when x^2 = 16/49.
a: x = 4/7
b: x = (4/7)^2
c: x = ± 4/7
d: x = (± 4/7)^2

Answer 1

A cube with side length c has a volume of 8 cubic centimeters. The following equation shows the volume of the cube.
c³ = 8
What is the side length of the cube in centimeters?
options: 4, 3, 2, or 6.

Answer 2

To find the solution for x in the equation x^2 = 16/49, we can take the square root of both sides:

x = ±√(16/49)

Simplifying the square root of 16 gives us:

x = ±(4/7)

Therefore, the solution is x = ±4/7.

Therefore, the correct option is c: x = ± 4/7

Answer 3

To find the side length of the cube, we need to find the cube root of 8.

Taking the cube root of both sides of the equation c³ = 8, we have:

∛(c³) = ∛(8)

Simplifying, we know that ∛(8) = 2, since 2 x 2 x 2 = 8.

Therefore, the side length of the cube is 2 centimeters.

Therefore, the correct option is 2.