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emmainna [20.7K]

3 years ago

7

Diego solved an equation by multiplying both sides of the equation by 6. Then he checked that 6 is the correct solution by subst

ituting it back into the original equation. Which of the following gives the properties of equality that he used and their correct order?

1 answer:

Studentka2010 [4]3 years ago

6 0

C. on e2020 . Good luck!

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Select the correct answer.

Sophie [7]

Answer:

D) x² -x - 10 =0

Step-by-step explanation:

Given that

$\frac{2}{3x-6} - \frac{1}{3x+6} = \frac{1}{3}$

L.C.M

$\frac{2(3x+6)-(3x-6)}{(3x+6)(3x-6)} = \frac{1}{3}$

$\frac{(6x+12-3x+6)}{(3x+6)(3x-6)} = \frac{1}{3}$

$\frac{(3x+18)}{((3x)^{2} )-(6)^{2} } = \frac{1}{3}$

⇒ $3(3x+18) = 9 x^{2} - 36$

⇒ 9 x + 54 = 9 x² - 36

⇒ 9 x² - 36 - 9x - 54 =0

⇒ 9 x² - 9x - 90 =0

⇒ 9(x² -x - 10 ) =0

⇒ x² -x - 10 =0

8 0

3 years ago

What is 1+(-5) find the solution

JulsSmile [24]

Answer:

kanye west x jeffree star

Step-by-step explanation:

5 0

3 years ago

What is an equation for the line with slope 2/3 and y intercept 9

dybincka [34]

Y = 2/3x+9, or
2x-3y=-27

3 0

4 years ago

Find the area of the shape . ( exact answer )

tangare [24]

Answer:

84.78

Step-by-step explanation:

A=π r²

6*6(r²)=36

36*3.14(π)=113.04

113.04*3/4(it is 3/4 of a circle)=339.12/4

339.12/4=84.78

7 0

4 years ago

A coin is dropped at random on the grid. Then another coin is dropped on the grid. What is the probability that both coins fall

Vaselesa [24]

In the picture, we could see that the grid's dimension is 6 by 6. Therefore, there were 6 times 6 equal 36 squares where the coin can be dropped. Solving for the probability that coin will fall in the shaded region, we have:
Probability = 8/36
Probability = 2 / 9

The answer is the letter "a" which is 2/9.

4 0

4 years ago