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AleksandrR [38]
3 years ago
14

How do you factor the common factor out of each expression on the worksheet thats added to this question?

Mathematics
1 answer:
Sonbull [250]3 years ago
8 0

Answer:

4(1+v^2)

Step-by-step explanation:

this is the answer to number 8

the GCF of 4 is 4

its just like u are dividing ,

the one u are dividing with comes out thats all

You might be interested in
Yo plz help I suck at Pythagoras theoreom >:(
dybincka [34]

Answer:

Step-by-step explanation:

you didn't put the problem you are stuck on here, but i am willing to help you out in understanding Pythagorean theorem!

pythagorean theorem helps to solve for a side of a right triangle! no matter which two sides you are given in the problem!

the formula for this is

a^2 + b^2 = c^2

to solve for it, you plug in the two sides you have. the most simple is the two sides that are not the hypotenuse. the hypotenuse is the longest side, which is also not connected to another side by a right angle.

you should then plug those numbers into a and b. if you're not too strong with squaring a number, just use a calculator! its super easy to plug into!

lets make a scenario, you have two sides that are 3 and 3 and you are trying to find your hypotenuse!

you would plug them into A and B, if you have different numbers, it doesn't matter which slot they go into :)

so... 3^2 + 3^2 = c^2

when you put 3 to the 2nd power in the calculator, it gives you 9!

so, 9 + 9 = c^2     18 = c^2

you are not done yet :)

you have the number is squared. you must now take the square root of the number!

this is not going to be a whole number, or a pretty one, but it will be correct.

sqrt18 = c

4.242640687119285 is the hypotenuse.

whatever problem you have should say what to round to, lets just say to the nearest hundredth.

4.24 is your hypotenuse.

i really hope i helped you out in anyway possible.

if you have any other questions based on what i just did, or if you need some information that goes a little bit deeper into pythagorean theorem, i would be glad to help you!

stay safe!

:)

7 0
4 years ago
[PLEASE ANSWER] Precalculus Question (has 2 parts)
artcher [175]
Part I

\bf \begin{array}{l|lllllll}
x&2&\boxed{4}&6&8&\boxed{10}&12&14\\\\
y&1&\boxed{6}&11&16&\boxed{21}&26&31
\end{array}\implies 
\begin{array}{llll}
(4,6)\\\\
(10,21)
\end{array}\\\\
-------------------------------\\\\

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 4}}\quad ,&{{ 6}})\quad 
%   (c,d)
&({{ 10}}\quad ,&{{ 21}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{21-6}{10-4}


part II

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=6\\
x_1=4\\
m=\boxed{?}
\end{cases}\\
\end{array}\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}


now, the form above is the point-slope form, and that'd be the equation, you can leave it like so, or you can solve for "y", and put it in slope-intercept, same equation though.
3 0
3 years ago
Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 in
vodka [1.7K]
Each pair of the sock will cost $6.58

25.98-6.24=19.74
19.74/3=6.58
3 0
3 years ago
We have a right triangle that has am 8 meter and 21 meter leg .Find the hypotenuse
Serjik [45]

Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC  and other two legs are AB  and BC

AC^2 = AB^2 + BC^2

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = \sqrt{8^2 + 21^2}

= \sqrt{64 + 441}

= \sqrt{505}

= 22.47

So the length of the hypotenuse is 22.47 m

4 0
3 years ago
A carpentry shop currently sells 66000 decoy ducks per year at a cost of 16 dollars each. In the previous year when they raised
Rus_ich [418]

Answer:

19 dollars

Step-by-step explanation:

<h2>Buckle up! This is a good one!</h2>

First we have to find the line that goes trough the two points. And it has the form :

y=mx+b

<em>m is often called the slope.</em>

Given the two points (66000, 16) and (51000, 21) we find m with this formula:

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{21-16}{51000-66000} \\m=-\frac{5}{15000} \\m=-\frac{1}{3000}

We pick the point (51000,21) and plug it into the equation of the line and we find b:

y= mx + b\\21=(-\frac{1}{3000} )(51000)+b\\21=-17+b\\21+17=b=38

<h3>And we have got our line equation</h3>

y= -\frac{1}{3000}x + 38\\

<u>Where x represents the quantity and y represents the price.</u>

<u />

<h2>The revenue</h2>

The revenue is price times quantity, since price is y and quantity is x, we get

y=-\frac{1}{3000} x+38\\y*x=x*(-\frac{1}{3000} x+38)\\yx=-\frac{1}{3000} x^2+38x\\R(x)=-\frac{1}{3000} x^2+38x

<h3>to maximize the revenue, we get the first derivative:</h3>

R(x)=-\frac{1}{3000} x^2+38x\\R'(x)=-(2)\frac{1}{3000} x+38\\R'(x)=-\frac{2}{3000} x+38\\\\R'(x)=-\frac{1}{1500} x+38\\\\

<h3>and we make R'(x)=0:</h3>

R'(x)=-\frac{1}{1500} x+38=0\\38=\frac{1}{1500} x\\38*1500=x=57000

So the quantity that maximizes revenue is 57000,

<h3>let's find out the price by plugging it into the equation:</h3>

y= -\frac{1}{3000}x + 38\\y= -\frac{1}{3000}(57000) + 38\\y= -19 + 38\\y=19

<h2>And there you go! 19 dollars is the price the carpentry shop should charge per decoy duck.</h2>
7 0
3 years ago
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