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hram777 [196]
3 years ago
15

What is the intermediate step in the form (x + a)2 = b as a result of completing the

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

Step-by-step explanation:

Simplify this problem by dividing all three terms by 2:

x^2 + 20 = -4x

Rewrite this in standard form:

x^2 + 4x + 20

Take the coefficient of the x term and divide it by 2:  4/2 = 2

Square this result:  2^2 = 4

Between x^2 + 4x  and  20  add this 4, then subtract it:

x^2 + 4x + 4 - 4

Rewrite x^2 + 4x + 4 as the square of a binomial:

(x + 2)^2 - 4, or (x + 2)^2 = 4

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aksik [14]
< 1 and < 2......adjacent angles...because they have a common side and a comon vertex

< 1 and < 2.....complimentary angles....because when added, they equal 90
5 0
3 years ago
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AY<br> 100<br> 60°<br> 200<br> what's the area
lidiya [134]
I really don’t know look it up or something
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3 years ago
What is the measure of AngleS to the nearest whole degree? 19° 26° 30° 33°
ahrayia [7]

Answer:

A= 33 degrees

A=33°

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW, ALSO CHECK THE ATTACHMENT FOR THE DIAGRAM

Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of S to the nearest whole degree? 19° 26° 30° 33°

EXPLANATION

Accordingto the law of cosines in

trigonometry, which gives the relationship between the lengths of the sides of a triangle to the cosine of one of its angles.

From the diagram at the attachment, the sides of the triangle are:a=10 ,b=17 ,c=18

The law can is described using the formula below;

a² = b²+ c² – 2*b*c*cos(A)

To get the angle cos(A), we make cos(A) subject of formula

cos(A)=[b²+c²-a²]/[2*b*c]

Then inserting the figures

cos (A)=[17²+18²-10²]/[2*17*18]

cos (A)=0.8382

Then find the inverse of cos(A)

A=arc cos (0.8382)

A=33.05°

A=33°( approximately)

4 0
4 years ago
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Use the Rational Zeros Theorem to write a list of all potential rational zeros. (5 points)
yawa3891 [41]

So the Rational Zeros Theorem states that <u>the potential zeros are ± P/Q, with P = factors of the constant and Q = factors of the leading coefficient.</u>

In this case, the constant is -3 and the leading coefficient is 2.

  • P = 1,3
  • Q = 1,2

With P and Q established, divide them all as such:

\pm \frac{1}{1}, \pm \frac{3}{1}, \pm \frac{1}{2}, \pm \frac{3}{2}\\\\\pm 1,\pm 3, \pm \frac{1}{2}, \pm \frac{3}{2}

<u>In short, your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.</u>

4 0
3 years ago
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The red bus Company Charges 150+72 per hour to rent a bus The blue bus company charges 240+54 per hour for what number of hours
liraira [26]
It will take them 5 Hours to charge the same. The rental charge will be 510.

I did a manual computation per company: My computation is entirely based on trial and error.

Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.

Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.

Fixed Rate      150    Running Balance: 150    => 150 + 0
Hr 1                    72                                      222   => 150 + 72
Hr 2                    72                                      294  =>  222 + 72
Hr 3                    72                                      366  => 294  + 72
Hr 4                    72                                      438  => 366 + 72
Hr 5                    72                                      510  => 438 + 72

I'll do the same process with Blue Bus Co.

Fixed Rate  240      Running Balanc:  240 => 240 + 0
Hr 1                54                                      294 => 240 + 54
Hr 2                54                                       348 => 294 + 54
Hr 3                54                                      402 => 348 + 54
Hr 4                54                                      456 => 402 + 54
Hr 5                54                                      510 => 456 + 54



5 0
3 years ago
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