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3 years ago

Find complement and supplement of the angle. 75 degrees

1 answer:

4 0

$x-\ measure\ of\ supplement\ angle\\\\
180=75+x\ \ \ | subtract\ 75\\\\
105=x\\\\
y-\ measure \ of\ complement\ angle\\\\
90=y+75\ \ \ | subtract\ 75\\\\
y=15\\\\Complement\ angle\ is\ 15^{\circ}\ and\ supplement\ 105^{\circ}$

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Need help will give 20 points

dangina [55]

Answer:

mStep-by-step explanation:

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4 years ago

Ples help me find slant assemtotes

FrozenT [24]

A polynomial asymptote is a function $p(x)$ such that

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Since this equation defines a hyperbola, we expect the asymptotes to be lines of the form $p(x)=ax+b$ .

Ignore the negative root (we don't need it). If $y=2x-1+2\sqrt{x^2-x}$ , then we want to find constants $a,b$ such that

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since $x\to\infty$ forces us to have $x>0$ . And as $x\to\infty$ , the $\dfrac1x$ term is "negligible", so really $\sqrt{x^2-x}\approx x$ . We can then treat the limand like

$2x-1+2x-ax-b=(4-a)x-(b+1)$

which tells us that we would choose $a=4$ . You might be tempted to think $b=-1$ , but that won't be right, and that has to do with how we wrote off the "negligible" term. To find the actual value of $b$ , we have to solve for it in the following limit.

$\displaystyle\lim_{x\to\infty}(2x-1+2\sqrt{x^2-x}-4x-b)=0$

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$(\sqrt{x^2-x}-x)\cdot\dfrac{\sqrt{x^2-x}+x}{\sqrt{x^2-x}+x}=\dfrac{(x^2-x)-x^2}{\sqrt{x^2-x}+x}=-\dfrac x{x\sqrt{1-\frac1x}+x}=-\dfrac1{\sqrt{1-\frac1x}+1}$

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So one asymptote of the hyperbola is the line $y=4x-2$ .

The other asymptote is obtained similarly by examining the limit as $x\to-\infty$ .

$\displaystyle\lim_{x\to-\infty}(2x-1+2\sqrt{x^2-x}-ax-b)=0$

$\displaystyle\lim_{x\to-\infty}(2x-2x\sqrt{1-\frac1x}-ax-(b+1))=0$

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$\displaystyle\lim_{x\to-\infty}(-ax-(b+1))=0$

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$(x+\sqrt{x^2-x})\cdot\dfrac{x-\sqrt{x^2-x}}{x-\sqrt{x^2-x}}=\dfrac{x^2-(x^2-x)}{x-\sqrt{x^2-x}}=\dfrac
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3 years ago

How many vertices AND faces does this shape have? (NO LINKS)

sleet_krkn [62]

Answer:

It's a pyramid, therefore it must have 5 vertices

Hope this helps! Let me know if I am wrong

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3 years ago

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If you can tell me what the missing number is.

Orlov [11]

Answer:

Step-by-step explanation:

So, to start answering this, lets recall the formula for a rectangles volume:

This formula is :

V=h*w*l

Lets plug in what we know, and solve for the missing variable.

We know that height(h) is 7.

We know that width(w) is 9.

We know that volume(V) is 378.

We are missing length(l)

So:

378=7*9*l

To find length(l), we must iscolate it.

To do this, we must get rid of the 7 and 9.

So lets start by dividing 378 by 9:

378/9=7*9/9*l

42=7*l

Now lets do the same thing with the 7 to iscolate l:

42/7=7/7*l

6=l

So our missing length(l) is 6.

Answer:

l = 6

Hope this helps!

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3 years ago

ANSWER FOR BRAINLIEST AND 60 POINTS!!

VashaNatasha [74]

All you need to do is move every point (LMKN) to the right one point on the graph, then move those new points down 2 points down the graph. I don’t know how to show you this through words

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3 years ago

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