) Solve algebraically and check your potential solutions: sqrtx+2+0
Answer:
Show your work here:
3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 cm3. Round the answer to three decimal places.
Answer:
Show your work here:
The first "equation" is sheer nonsense the way it is typed.
s= cuberoot (800)
800^(1/3) = 9.28317767
Round off to s = 9.283 cm
You can use Google calculator if you don't have a pocket calculator. The 1/3 power is the cube root.
To solve the equation sqrt(x+2) = 0 algebraically, we will isolate the variable x.
1. Start by subtracting 2 from both sides of the equation:
sqrt(x+2) - 2 = 0 - 2
sqrt(x+2) - 2 = -2
2. Next, add 2 to both sides of the equation:
sqrt(x+2) - 2 + 2 = -2 + 2
sqrt(x+2) = 0
3. Square both sides of the equation to eliminate the square root:
(sqrt(x+2))^2 = 0^2
x+2 = 0
4. Subtract 2 from both sides of the equation:
x + 2 - 2 = 0 - 2
x = -2
Therefore, the solution to the equation sqrt(x+2) = 0 is x = -2.
To check the solution, substitute x = -2 back into the original equation:
sqrt(-2+2) = 0
sqrt(0) = 0
0 = 0
The equation is true, confirming that x = -2 is indeed the solution.
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To find the length of a side of a cube given its volume, we will use the formula V = s^3, where V is the volume and s is the length of a side.
1. Start by plugging in the given values into the formula:
V = 800 cm^3
V = s^3
2. Rearrange the equation to solve for s:
s^3 = V
3. Take the cube root of both sides of the equation to find s:
∛(s^3) = ∛(V)
s = ∛(V)
4. Substitute the given volume value:
s = ∛(800)
5. Calculate the cube root using a calculator or by approximation:
s ≈ 9.472
Rounded to three decimal places, the length of a side of the cube is approximately 9.472 cm.