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makkiz [27]
3 years ago
7

Solve the equation using square roots. (2x - 1)² =81

Mathematics
1 answer:
Maslowich3 years ago
7 0
X=9

insert 9 for x in the equation to know that it's right.
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How would I do part A. I showed my work but I'm slightly off
ahrayia [7]

\bf \stackrel{\textit{perimeter of the rectangle}}{P_{rect}=2x+y}~\hfill \stackrel{\textit{area of the rectangle}}{A_{rect}=xy}
\\\\\\
\stackrel{\textit{perimeter of the semi-circle, with }r=\frac{y}{2}}{P_{semic}=\cfrac{\pi y}{2}}~\hfill \stackrel{\textit{area of the semi-circle with }r=\frac{y}{2}}{A_{semic}=\cfrac{\pi y^2}{8}}
\\\\[-0.35em]
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\bf \stackrel{\textit{perimeter of the enclosure}}{60=2x+y+\cfrac{\pi y}{2}}\implies \stackrel{\textit{multiplying by 2}}{120=4x+2y+\pi y}
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120-2y-\pi y=4x\implies \cfrac{120-2y-\pi y}{4}=x
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\bf \stackrel{\textit{area of the enclosure}}{A=xy+\cfrac{\pi y^2}{8}}\implies A=\left( \cfrac{120-2y-\pi y}{4} \right)y+\cfrac{\pi y^2}{8}
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A=\cfrac{120y-2y^2-\pi y^2}{4}+\cfrac{\pi y^2}{8}\implies A=\cfrac{240y-4y^2-2\pi y^2+\pi y^2}{8}
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A=\cfrac{240y-4y^2-\pi y^2}{8}\implies A=\cfrac{240y}{8}-\cfrac{4y^2}{8}-\cfrac{\pi y^2}{8}
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\rule{34em}{0.25pt}\\\\
~\hfill A=30y-\cfrac{1}{2}y^2-\cfrac{1}{8}\pi y^2~\hfill

5 0
4 years ago
Marty is explaining to Susan how to solve the following problem, -4 – (-5)
Alexxx [7]

Answer:

The correct answer is:

To subtract an integer, add its opposite; -4 + 5 = 1

Step-by-step explanation:

Marty is explaining to Susan how to solve the following problem, -4 – (-5)  

He told Susan that to subtract an integer, add its opposite.

We know that whenever we solve the two terms, first we multiply the signs.

It means that the negative sign outside the round bracket will be multiplied with the negative sign of -5

That is,

-4 - (-5)

By multiplying the signs we get the terms:

-4 + 5

=1

Thus the correct option is D....

4 0
4 years ago
A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

6 0
3 years ago
Evaluate.<br><br>1,000 squared 5 =
Ksivusya [100]
1,000,000,000,000,000
5 0
3 years ago
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What is the presidential succession act of 1947 and who are the next two positions in line for the presidency after the Vice Pre
nadezda [96]

Answer:

The 1947 Presidential Succession Act. An Act to ensure that the President's duties are carried out in the event that the President and Vice President are both removed, resign, die, or become incapacitated.    If the vice presidency is vacant at the same time as the presidency, or if the vice president is also incapacitated, the powers and duties of the presidency pass to the speaker of the House of Representatives, president pro tempore of the Senate, and then Cabinet secretaries, in that order, depending on eligibility.

Step-by-step explanation:

7 0
3 years ago
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