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3 years ago

Please help the one that blue dots are my answer number 2 and 7 i need help on please help me

Mathematics

2 answers:

Elza [17]3 years ago

8 0

Hey mate!
You stuck?

Let's look at question 2 first.
Looking at the picture, it tells us:

AT = TX
4y - 2 = 14
4y = 14 + 2
4y = 16
y = 16 / 4
y = 4

TY = ZT
6x - 12 = 2x + 12
6x - 2x = 12 + 12
4x = 24
x = 24 / 4
x = 6

Thus, your answer is D, x=y, y=4

As for Question 7,
The only reasonable answer for Question 7 is, "Consecutive angles of a parallelogram are supplementary; m<1 + m<2= 180" It fits perfectly in Reason 4 and Statement 5. In other words, your answer is D :)

Hope this helps!

Nonamiya [84]3 years ago

7 0

I'm not sure about #2 but #7 is the last one.

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3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

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Our radius since our axis is AB will be 1 - x or 1 - y/9.

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By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

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Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

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2 years ago