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3 years ago

5

Anna drew a plan for a rectangular piece of material that she will use for a quilt vertices are (-1.2, -3.5), (-1.2,4.4), and (5

.5,4.4).What are the coordinates of the fourth vertex

2 answers:

Viefleur [7K]3 years ago

6 0

Check the picture below.

Gnom [1K]3 years ago

4 0

Answer:

(5.5, -3.5)

Step-by-step explanation:

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?

AlladinOne [14]

We know for our problem that the zeroes of our quadratic equation are $(2-3i)$ and $(2+3i)$ , which means that the solutions for our equation are $x=2-3i$ and $x=2+3i$ . We are going to use those solutions to express our quadratic equation in the form $a x^{2} +bx+c$ ; to do that we will use the <span>zero factor property in reverse:
</span> $x=2-3i$
$x-2=-3i$
$x-2+3i=0$
<span>
</span> $x=2+3i$
$x-2=3i$
$x-2-3i=0$
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Now, we can multiply the left sides of our equations:
</span> $(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2$
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3 years ago

Simplify: (m – 3n)2

Lapatulllka [165]

2m-6n or the last one

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3 years ago

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3 regions are defined in the figure find the volume generated by rotating the given region about the specific line

anastassius [24]

The volume generated by rotating the given region $R_{3}$ about OC is $\frac{4}{g} \pi$

<h3>Washer method</h3>

Because the given region ( $R_{3}$ ) has a look like a washer, we will apply the washer method to find the volume generated by rotating the given region about the specific line.

solution

We first find the value of x and y

$y=2(x)^{\frac{1}{4} }$

$x=(\frac{y}{2} )^{4}$

$y=2x$

$x=\frac{y}{2}$

$\int\limits^a_b {\pi } \, (R_{o^{2} } - R_{i^{2} } ) dy$

$R_{o} = x = \frac{y}{2}$

$R_{i} = x= (\frac{y}{2}) ^{4}$

$a=0, b=2$

$v= \int\limits^2_o {\pi } \, [(\frac{y}{2})^{2} - ((\frac{y}{2}) ^{4} )^{2} ) dy$

$v= \pi \int\limits^2_o= [\frac{y^{2} }{4} - \frac{y^{8} }{2^{8} }} ] dy$

$v= \pi [\int\limits^2_o {\frac{y^{2} }{4} } \, dy - \int\limits^2_o {\frac{y}{2^{8} } ^{8} } \, dy ]$

$v=\pi [\frac{1}{4} \frac{y^{3} }{3} \int\limits^2_0 - \frac{1}{2^{8} } \frac{y^{g} }{g} \int\limits^2_o\\v= \pi [\frac{1}{12} (2^{3} -0)-\frac{1}{2^{8}*9 } (2^{g} -0)]\\v= \pi [\frac{2}{3} -\frac{2}{g} ]\\v= \frac{4}{g} \pi$

A similar question about finding the volume generated by a given region is answered here: brainly.com/question/3455095

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2 years ago

Solve the formula V=pir^2h for r <br><br> PLEAASSSEEE HELP

otez555 [7]

Answer:

B

Step-by-step explanation:

So we have the formula:

$V=\pi r^2h$

And we want to solve it for r.

So, let's first divide both sides by π and h. This will cancel out the right side:

$r^2=\frac{V}{\pi h}$

Now, take the square root of both sides:

$r=\sqrt{\frac{V}{\pi h}}$

And we're done!

Our answer is B.

I hope this helps!

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3 years ago

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Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less

Vlad [161]

Answer:

No I don't agree with Clare.

You will get more than 11 yards

Step-by-step explanation:

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3 years ago