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2 years ago

11

Solve each system by substitution Y=2x+7 3x-4y=-13

1 answer:

natali 33 [55]2 years ago

4 0

The correct answer is (-3,1)

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Find the volume of the solid generated when R (shaded region) is revolved about the given line. x=6−3sec y, x=6, y= π 3, and

Dmitrij [34]

Answer:

$V=9\pi\sqrt{3}$

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

$V=\int\limits^b_a {\pi r^{2}} \, dy$

where:

$r=6-(6-3 sec(y))$

$r=3 sec(y)$

a=0

$b=\frac{\pi}{3}$

so the volume becomes:

$V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy$

This can be simplified to:

$V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy$

and the integral can be rewritten like this:

$V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy$

which is a standard integral so we solve it to:

$V=9\pi[tan y]\limits^\frac{\pi}{3}_0$

so we get:

$V=9\pi[tan \frac{\pi}{3} - tan 0]$

which yields:

$V=9\pi\sqrt{3}$ ]

6 0

2 years ago

HSMath easy 10 points yk the vibes

kramer

The answer is four because 2 x 0 is 0 and then 12 divided by 3 is for

THE ANSWER IS 4

5 0

2 years ago

What dose the hypotenuse=?

Kitty [74]

Hypotenuse by Pythagoras theorem = 407.83.

3 0

2 years ago

5(x+3)-7(6-3)+29=50-3(8-x)

Sveta_85 [38]

Answer:

$\quad x=\frac{3}{2}$

Step-by-step explanation:

$7\left(6-3\right)=21$ , $\mathrm{Expand\:}5\left(x+3\right)-21+29:\quad5x+23$ , $\mathrm{Expand\:}50-3\left(8-x\right):\quad 3x+26$ , Subtract 23 and 3x from both sides and simplify: $2x=3$ , Divide both sides by 2 and simplify: $x=\frac{3}{2}$

<em>Hope this helps!!!</em>

6 0

2 years ago

AJLK ~ APQR. Find the value of x.<br> P<br> 45<br> 36<br> 15<br> 39<br> K<br> 13<br> x=

alexgriva [62]

Answer:

36 divided by 2 is 18 = plus 1p

Step-by-step explanation:

3 0

2 years ago