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3 years ago

Find two numbers whose sum is -39 and whose product is 10

1 answer:

3 0

A) x + y = -39
B) x * y = 10

From A) we see x = -y -39 then we substitute this into B
B) (-y -39) * y = 10
-y^2 -39y = 10
-y^2 -39y -10 = 0

y = -38.742
x = -.258

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What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Stels [109]

Answer

Find out the volume of a cylinder .

To prove

Formula

$Volume\ of\ cylinder = \pi r^{2}h$

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{12}{2}$

Radius = 6 in

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put all the values in the formula

$Volume\ of\ cylinder = 3.14\times 6\times 6\times 7$

= 791.28 in³

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3 years ago

At the beginning of the bake sale merry set aside two pies for herself Kate bought half of the remaining pies for a birthday par

nirvana33 [79]

So.. .at the beginning of the sale, there was a total of "x" pies

now, let's see what happened to those pies
$\bf \begin{array}{lrlll}
&pies\\\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\\

Mary&x-2\\\\
Kate&\cfrac{x-2}{2}\\\\
\textit{pies sold}&10\\\\
\textit{pies leftover}&14
\end{array}$

so, we had "x"
then Mary took 2, she left x - 2
Kate took half of that (x-2)/2
then 10 were sold, and 14 leftover

if we subtract all those figures, and solve for "x",
we should get what "x" was, so $\bf (x-2)-\left( \cfrac{x-2}{2} \right)-10-14=0$

notice, if we subtract what Mary took, and Kate, and the sold and leftover, from the original "x", we would end up with no pies :)

so.. just solve for "x"

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Strike441 [17]

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