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3 years ago

Solve SA = πrs + π r^2 for s

1 answer:

6 0

SA=pi r s+ pi r^2 , solve for s
SA-pi r^2=pi r s
(SA- pi r^2)/pi*r=s
can be written also
<u>SA</u> - r= s<u>
</u>pi*r<u>
</u>

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What is the solution to the inequality 2x<20

Keith_Richards [23]

The given expression is

$2x$

We just have to divide by 2

$\begin{gathered} \frac{2x}{2}$ <h2>Hence, the solution is all real numbers less than 10.</h2>

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8 months ago

if the windows cost 159.00 each she wants to buy 10 and spend $ 200.00 for a door. how much would she have to save?

dlinn [17]

Answer:

$1,790

Step-by-step explanation:

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2 years ago

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Find the equation, (f(x) = a(x - h)2 + k), for a parabola containing point (2, -1) and having (4, -3) as a vertex. What is the s

Nataliya [291]

Answer:

$f(x)=\frac{1}{2}x^2-4x+5$

Step-by-step explanation:

A parabola is written in the form

$f(x)=a((x-h)^2+k)$ (1)

where:

$h$ is the x-coordinate of the vertex of the parabola

$ak$ is the y-coordinate of the vertex of the parabola

$a$ is a scale factor

For the parabola in the problem, we know that the vertex has coordinates (4,-3), so we have:

$h=4$ (2)

$ak=-3$

From this last equation, we get that $a=\frac{-3}{k}$ (3)

Substituting (2) and (3) into (1) we get the new expression:

$f(x)=-\frac{3}{k}((x-4)^2+k) = -\frac{3}{k}(x-4)^2 -3$ (4)

We also know that the parabola contains the point (2,-1), so we can substitute

x = 2

f(x) = -1

Into eq.(4) and find the value of k:

$-1=-\frac{3}{k}(2-4)^2-3\\-1=-\frac{3}{k}\cdot 4 -3\\2=-\frac{12}{k}\\k=-\frac{12}{2}=-6$

So we also get:

$a=-\frac{3}{k}=-\frac{3}{-6}=\frac{1}{2}$

So the equation of the parabola is:

$f(x)=\frac{1}{2}((x-4)^2 -6)$ (5)

Now we want to rewrite it in the standard form, i.e. in the form

$f(x)=ax^2+bx+c$

To do that, we simply rewrite (5) expliciting the various terms, we find:

$f(x)=\frac{1}{2}((x^2-8x+16)-6)=\frac{1}{2}(x^2-8x+10)=\frac{1}{2}x^2-4x+5$

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2 years ago

500

statuscvo [17]

Answer: The required ratio would be 3 miles : 4 minutes.

Step-by-step explanation:

Since we have given that

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Hence, the required ratio would be 3 miles : 4 minutes.

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2 years ago

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Darina [25.2K]

43 is the correct answer

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2 years ago

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