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pickupchik [31]
1 year ago
11

Which shows the four-term polynomial and factored form of x² + 6x-27?

Mathematics
1 answer:
Advocard [28]1 year ago
3 0
X2+6x-3-27=(x+6)(x-3)
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6 0
3 years ago
What are the two solutions of 2x2 = –x2 – 5x – 1?
77julia77 [94]

Answer:

The answer is

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Step-by-step explanation:

2x² = - x² - 5x - 1

<u>Rearrange the terms and simplify</u>

That's

2x² + x² + 5x + 1 = 0

3x² + 5x + 1 = 0

Using the quadratic formula solve the equation

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 3 , b = 5 , c = 1

So we have

<h3>x =  \frac{ - 5\pm \sqrt{ {5}^{2} - 4(3)(1) }}{2(3)}  \\  =  \frac{ - 5\pm \sqrt{25 - 12} }{6}  \\   = \frac{  - 5\pm \sqrt{13} }{6}</h3>

We have the final answer as

<h3>x =  \frac{ - 5 +  \sqrt{13} }{6}  \:  \:  \:  \: or \:  \:  \: x  =  \frac{ - 5 -  \sqrt{13} }{6}</h3>

Hope this helps you

4 0
3 years ago
Beth is making a rope ladder each step of the ladder is 2 1/3 feet wide width as a rope that is 21 feet long how many steps can
Helga [31]

Answer:

Answer: She can make 9 steps from the rope.

Step-by-step explanation:

Given : The width of each step of the ladder = 2\dfrac{1}{3}\text{ feet}2

3

1

feet = \dfrac{2(3)+1}{3}=\dfrac{7}{3}\text{ feet}

3

2(3)+1

=

3

7

feet

The length of the rope = 21 feet

Then , the number of required steps = ( length of the rope ) ÷ (width of each step of the ladder)

=21\div\dfrac{7}{3}=21÷

3

7

=21\times\dfrac{3}{7}=3\times3=9=21×

7

3

=3×3=9

Hence, the number of steps can she make from the rope = 9.

5 0
2 years ago
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