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RoseWind [281]
3 years ago
9

The volume of a cube is 1000 cubic inches. What is the edge length of the cube?

Mathematics
1 answer:
levacccp [35]3 years ago
6 0
Since the volume of a cube is S^3, where S is the length of one of the sides, we take the cube root of 1000 and get the edge length of the cube is 10 inches.
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Find the value of this expression if x=-1 and y=-5 x^2y/4
REY [17]

Answer:

\large\boxed{-\dfrac{5}{4}=-1\dfrac{1}{4}}

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X= square root of 10x-24
FrozenT [24]
√10x-24 = x


Step by step solution :

STEP
1
:
Isolate the square root on the left hand side

Radical already isolated
√10x-24 = x


STEP
2
:
Eliminate the radical on the left hand side

Raise both sides to the second power
(√10x-24)2 = (x)2

After squaring
10x-24 = x2


STEP
3
:
Solve the quadratic equation

Rearranged equation
x2 - 10x + 24 = 0

This equation has two rational roots:
{x1, x2}={6, 4}


STEP
4
:
Check that the first solution is correct

Original equation
√10x-24 = x

Plug in 6 for x
√10•(6)-24 = (6)

Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6

STEP
5
:
Check that the second solution is correct

Original equation
√10x-24 = x

Plug in 4 for x
√10•(4)-24 = (4)

Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
7 0
3 years ago
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