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tia_tia [17]
3 years ago
11

How to turn this equation: y= -1.02(x-3)^2+9.25 into factored form

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

x^2-6x+17.23

Step-by-step explanation:

y= -1.02(x-3)^2+9.25

multiply (x-3)(x-3)

you get -1.02+x^2-3x-3x+9+9.25

solve x^2-6x+18.25

                     -1.02

answer x^2-6x+17.23

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(4/5)w - 12 = (2/3)w. 

The LCD here is 5*3, or 15, so mult. every term by 15:

12w - 180 = 10w.   
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Please asap<br>for 10 points!​
kari74 [83]
<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
  • r: radius
  • h: height
<h3>To find:</h3>
  • The volume of the frustum of the given cone.
<h3>Solution:</h3>
  • Frustum is a part of a cone formed by cutting off the top by a parallel plane.

\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



8 0
1 year ago
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