What is the value of x? 10x – 6(x – 4) = 32
1 answer:
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Answer:
Step-by-step explanation:
The volume of cone is given by:
where is the radius of the base and
is the height of the cone.
We need to solve for
we have
Multiplying both sides by 3 to remove
⇒
⇒
dividing both sides by
⇒
⇒
Taking square root both sides:
⇒
⇒
∴
because y^3 is raised to the power of two, we will have to multiply the exponents rather than adding them.
By distributing the power of 2, we will get y^2(6).
Because now the exponents are being multiplied, we can just add them to get y^8. The other y has a power of 1, so we'll just add the power of that y as well to get y^9.
summary:
multiply exponents if they are being raised to a power.
add exponents if they are being multiplied, and only add them if they have the same base (in this case, both the bases of the exponents are y, so we can add them)
