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Alik [6]
3 years ago
11

Solve for y in the two equations below using substitution.

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

C. y = -6

Step-by-step explanation:

3x – 6y = 9

–3x + 3y = 9

-3y = 18

y = -6

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The maximum weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as
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\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}

\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}

\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}

7 0
4 years ago
Find the two square roots of 0.25 write as a fraction first
s2008m [1.1K]
The fraction is 1/4 and the two square roots of 0.25 is 1/2 or 0.5. I hope this helped
4 0
4 years ago
Identify the steps followed to solve the equation 3−2(2x+4)=1−6x
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Step-by-step explanation:

please give me brainlest

8 0
3 years ago
Arthur earned $136 in three weeks. He goes back to school in one more week. He needs at least $189to buy the new coat that he wa
Pani-rosa [81]
136 + x = 189
-136 -136
x = 53
Arthur must earn $53 in the next week to buy the new coat.
6 0
4 years ago
Two lines intersect to form angles 1, 2, 3, and 4 as given. The measure of ∠3 is 38°. What is the measure of ​∠2​ ?
ss7ja [257]

Answer:

142° is the measure of angle 2.

Step-by-step explanation:

When two lines intersect, they make four angles. The angles facing each other are equal.

Let's say that two lines a and b intersected each other to make angles 1,2,3 and 4 respectively.

The measure of angle 3 = 38 degrees.

We know that the angle 1 is against angle 3 and is equal to 38.

Also Angle 2 and Angle 4 are also against each other and are equal let's say equal to x degrees.

Now, the sum of all four angles = 360 degrees

∠1 + ∠2+ ∠3 + ∠4 = 360°

38° + x + 38° + x = 360°

2x = 360° - 76°

2x = 284°

x = 142°

Hence, ∠2 = 142°

3 0
3 years ago
Read 2 more answers
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