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shepuryov [24]
3 years ago
11

3 over 4 open parentheses 1 half x space minus space 12 close parentheses space plus space 4 over 5

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

For this case we have the following expression:

\frac {3} {4} (\frac {1} {2} x-12) + \frac {4} {5}

Rewriting the expression we have:

We apply distributive property to the terms of parentheses:

\frac {3} {8} x- \frac {36} {4} + \frac {4} {5}\\\frac {3} {8} x-9 + \frac {4} {5}\\\frac {3} {8} x- \frac {41} {5}\\

Answer:

\frac {3} {8} x- \frac {41} {5}

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Multiply y^2-16/2y . 5y/y-4
alisha [4.7K]
So, first we multiply the fraction by using the formula a/b times c/d= a times c/b times d
=(y^2-16) times 5y/2y(y-4)
Now, we cancel the common factor y
=(y^2-16) times 5/2(y-4)
Now, we factor 5(y^2-16)
We factor (y^2-16) first
y^2-16
Rewrite 16 as 4^2
y^2-4^2
Now, apply the formula x^2-y^2=(x+y)(x-y)
=y^2-4^2=(y+4)(y-4)
=5(y+4)(y-4)
=5(y+4)(y-4)/2(y-4)
Cancel the common factor y-4
=5(y+4)/2
Answer: 5(y+4)/2



5 0
3 years ago
In the base 5 number system, which number comes after 444,444?
RSB [31]
I think it’s 555,555






3 0
3 years ago
Is sin theta=5/6, what are the values of cos theta and tan theta?
mina [271]

let's bear in mind that sin(θ) in this case is positive, that happens only in the I and II Quadrants, where the cosine/adjacent are positive and negative respectively.

\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{6}}\qquad \impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{6^2-5^2}=a\implies \pm\sqrt{36-25}\implies \pm \sqrt{11}=a \\\\[-0.35em] ~\dotfill

\bf cos(\theta )=\cfrac{\stackrel{adjacent}{\pm\sqrt{11}}}{\stackrel{hypotenuse}{6}} \\\\\\ tan(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{adjacent}{\pm\sqrt{11}}}\implies \stackrel{\textit{and rationalizing the denominator}~\hfill }{tan(\theta )=\pm\cfrac{5}{\sqrt{11}}\cdot \cfrac{\sqrt{11}}{\sqrt{11}}\implies tan(\theta )=\pm\cfrac{5\sqrt{11}}{11}}

5 0
3 years ago
What is the factored for of x^2-x-2?
Olenka [21]
B because it makes sense
4 0
3 years ago
Harold and cindy both found the sum of two 4-digit numbers, but their results were not the same. if kent made an error of additi
Fiesta28 [93]
<span>The difference between the larger result and the smaller result was 10.

Suppose the 4 digits numbers are abcd and pqrs

Here, 1st Number is = 1000*a + 100*b + 10*c + d
and 2nd</span> Number is = 1000*ap + 100*q + 10*r + s

Then, since Kent made an error if 1 in tens columns and Harold added it correct, so the difference will be of 10 points.
7 0
3 years ago
Read 2 more answers
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