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Andrei [34K]
3 years ago
15

Answer the geometry question in the pic and save my life...

Mathematics
1 answer:
Anastasy [175]3 years ago
3 0

Answer:

The answer should be A'(-9,3) B'(12,-6)

Step-by-step explanation:

If you dialate, you multiply every coordinate by 3. -3 x 3= -9. 1 x 3=3. 4 x 3= 12. -2 x 3= -6. So,  the last option is correct.

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This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is
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Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

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3 years ago
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Answer:

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Step-by-step explanation:

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<span>f(x<0)=-f(x>0)=-x^2+5x+12 When x>0, x^2-5x-12=12, x=8, y=12 Therefore, f(x)=12 goes through point (8,12).</span>
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ikadub [295]
Equilateral: all sides are the same length
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