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2 years ago

Factor the expression using the GCF. The expression 18a-12 factored is

Mathematics

2 answers:

Inessa05 [86]2 years ago

6 0

Answer:

The answer is 6(3a + 2)

Step-by-step explanation:

The GCF of 18 and 12 is 6 so then what time 6 gives you 18a and 12? 6x3a=18a and 6x2=12 and then just put your GCF (6) outside the parenthesis and then you factors inside the parenthesis. Don't forget to put the variable and the signs.

Dafna1 [17]2 years ago

3 0

Answer: 6(3a-2)

Step-by-step explanation:

The greatest common factor (GCF) of 18a and -12 is 6. Therefore,

18a-12=6()=6(3a-2)

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Solve each quadratic equation by completing the square. 6. x2 + 2x = 8 7. x2 - 6x = 16 8. x2 - 18x = 19 9. x2 + 3x = 3 10. x2 +

Andrei [34K]

Lets get started :)

These questions have asked us to solve by completing the square.
How do we? I have attached a picture, which will explain

6. x² + 2x = 8
→ b is the coefficient of x, which is 2
→ We take half of 2 and square it. Then, we add it to either side

x² + 2x $+ (\frac{2}{2} )^2 = 8 + ( \frac{2}{2})^2$
x² + 2x + 1 = 8 + 1
( x + 1 )( x + 1 ) = 9
( x + 1 )² = 9
$\sqrt{( x + 1 )^2} = \sqrt{9}$
x + 1 = + 3 or x + 1 = - 3
x = 2 or x = - 4

7. x² - 6x = 16

→ We do the same thing we did in the previous question

x² - 6x + $(\frac{6}{2})^2 = 16 + (\frac{6}{2})^2$
x² - 6x + 9 = 16 + 9
(x - 3)² = 25
$\sqrt{(x-3)^2} = \sqrt{25}$
x - 3 = + 5 or x - 3 = - 5
x = 8 or x = - 2

8. x² - 18x = 19

x² - 18x + $( \frac{18}{2} )^2 = 19 + ( \frac{18}{2})^2$
x² - 18x + 81 = 19 + 81
( x - 9 )( x - 9 ) = 100
( x - 9 )² = 100
$\sqrt{(x-9)^2} = \sqrt{100}$
x - 9 = + 10 or x - 9 = -10
x = 19 or x = - 1

9. x² + 3x = 3

x² + 3x + $( \frac{3}{2} )^2 = 3 + (\frac{3}{2} )$
$x^2 + 3x + \frac{9}{4} = 3 + \frac{9}{4}$
$x^{2} + 3x + \frac{9}{4} = \frac{21}{4}$
$(x^2 + \frac{3}{2} ) ( x^2 + \frac{3}{2} ) = \frac{21}{4}$
$( x^2 + \frac{3}{2} )^2 = \frac{21}{4}$
$\sqrt{ x^2 + \frac{3}{2} } = \sqrt{ \frac{21}{4} }$
x + $\frac{3}{2}$ = + $\frac{ \sqrt{21} }{2}$ or x + $\frac{3}{2} = - \frac{ \sqrt{21} }{2}$
x = $\frac{-3+ \sqrt{21} }{2}$ or x = $\frac{-3 - \sqrt{21}}{2}$

7 0

3 years ago

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST

AfilCa [17]

Answer:

D) 13/100 = 2500/X

Step-by-step explanation:

..........

6 0

2 years ago

Read 2 more answers

25,704 ÷ 28 PLS SHOW WORK! ∧

fredd [130]

Answer:

the answer is 918

Step-by-step explanation:

first you would see how many times 257 could go into 28 which is about 9 so you could do 9 times 28 which is 257-252 which is 5. Then bring the 7 down to make 57. Then repeat the first step with every time and you should get 918. (57 goes into 28 once)

7 0

3 years ago

Please, I need help with my homework. I not asking anybody to do it, but I need help for it.

jenyasd209 [6]

Answer:

1) x = -2

Step-by-step explanation:

1) x + 7 + x + 11 = 14

2x + 18 = 14

2x = 14 - 18

2x = -4

x = -4/2 = -2