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2 years ago

Literal equation S=2 (lw+lh+wh) solve for w

1 answer:

3 0

$S=2\left( lw+lh+wh \right) \\ \\ S=2\left\{ w\left( l+h \right) +lh \right\} \\ \\ \frac { 1 }{ 2 } \cdot S=2\left\{ w\left( l+h \right) +lh \right\} \cdot \frac { 1 }{ 2 } \\ \\ \frac { S }{ 2 } =w\left( l+h \right) +lh\\ \\ w\left( l+h \right) =\frac { S }{ 2 } -lh\\ \\ \frac { 1 }{ \left( l+h \right) } \cdot w\cdot \left( l+h \right) =\frac { 1 }{ \left( l+h \right) } \left( \frac { S }{ 2 } -lh \right)$

$\\ \\ w=\frac { 1 }{ \left( l+h \right) } \left( \frac { S }{ 2 } -lh \right)$

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Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

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2 years ago

A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c

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Answer:

$(x+8)^2 +(y-4)^2 = 25$

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

$(x-h)^2 +(y-k)^2 = r^2$

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this: $(x+8)^2 +(y-4)^2 = r^2$

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for $r^2$

$(-4+8)^2 +(7-4)^2 =25= r^2$

So then $r = \sqrt{25}=5$

And if we replace the second point we got this:

$(-13+8)^2 +(4-4)^2 = 25 =r^2$

And for the third point we have:

$(-8+8)^2 +(-1-4)^2 = 25 =r^2$

And we got the same result.

So then our final equation is given:

$(x+8)^2 +(y-4)^2 = 25$

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3 years ago

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Answer:

Step-by-step explanation:

t a pet store, Ms. Pike paid $34.75 for 5 dog bowls and 7 bones. Mr. Moore paid $20.50 for 3 dog bowls and 4 bones. Determine the cost of one dog bowl(x) and one bone(y).

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2 years ago

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Answer:

It is a

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2 years ago

What is the area, in square centimeters, of triangle Z?

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Answer:

24 cm^2

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3 years ago