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larisa [96]
2 years ago
15

Mr. Inderhees wrote an equation and the first step of his solution process, as shown.

Mathematics
1 answer:
Nonamiya [84]2 years ago
3 0

Answer:

B. He added 5 to each side of the equation.

Step-by-step explanation:

B. He added 5 to each side of the equation.

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How much do you need to subtract from 31/6 to make<br> 5?
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1/6

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since 31/6 is 5 1/6

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The function of (x) varies directly with x^2, and f(x)=96 when x=4 what is the value of f(2)
makkiz [27]
\bf \qquad \qquad \textit{direct proportional variation}&#10;\\\\&#10;\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad  y=kx\impliedby &#10;\begin{array}{llll}&#10;k=constant\ of\\&#10;\qquad  variation&#10;\end{array}\\\\&#10;-------------------------------

\bf \textit{f(x) varies directly with }x^2\qquad f(x)=kx^2&#10;\\\\\\&#10;\textit{we also know that }&#10;\begin{cases}&#10;f(x)=96\\&#10;x=4&#10;\end{cases}\implies 96=k(4)^2\implies 96=16k&#10;\\\\\\&#10;\cfrac{96}{16}=k\implies 6=k\qquad therefore\qquad \boxed{f(x)=6x^2}&#10;\\\\\\&#10;\textit{now, when }\stackrel{f(2)}{x=2}\textit{ what is \underline{f(x)}?}\qquad f(2)=6(2)^2
3 0
3 years ago
In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.
Nutka1998 [239]

​

<u><em>28.1 feet</em></u>

<u><em></em></u>

<em><u>explaination</u></em>

<u><em>\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}</em></u>

<u><em>cosU= </em></u>

<u><em>hypotenuse</em></u>

<u><em>adjacent</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>\cos 70=\frac{9.6}{x}</em></u>

<u><em>cos70= </em></u>

<u><em>x</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>x\cos 70=9.6</em></u>

<u><em>xcos70=9.6</em></u>

<u><em>Cross multiply.</em></u>

<u><em>\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}</em></u>

<u><em>cos70</em></u>

<u><em>xcos70</em></u>

<u><em>​ </em></u>

<u><em> = </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> </em></u>

<u><em>Divide each side by cos 70.</em></u>

<u><em>x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}</em></u>

<u><em>x= </em></u>

<u><em>cos70</em></u>

<u><em>9.6</em></u>

<u><em>​ </em></u>

<u><em> =28.0685≈28.1 feet</em></u>

<u><em>Type into calculator and roundto the nearest tenth of a foot.</em></u>

8 0
2 years ago
A 5 hour and 25-minute flight begins at 9:40 at what time will it end
motikmotik
Your answer is 3:05.

 You must add on to 9:40. So what I did was 9 + 5 = 14.
14 - 12 = 2.
So far it's 2:40.
25 minutes + 40. = 65.
Well there are 60 minutes in an hours. So 65 would be equal to 1H and 5min.
Now take that 1 hour. Add it to 2.
3 hours. And take your 5 minutes.
There! 3:05
7 0
3 years ago
Read 2 more answers
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