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2 years ago

4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

3 0

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of y is 12. Plug 12 into the equation in the place of y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

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Answer:

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3 years ago

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zvonat [6]

Answer:
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Step-by-step explanation:
The formula for the area of the triangle is (1/2)*base*height.
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7 0

2 years ago

Read 2 more answers

Match the following rational expressions to their rewritten forms.

Nookie1986 [14]

Answer:

Answer image is attached.

Step-by-step explanation:

Given rational expressions:

$1.\ \dfrac{x^2+x+4}{x-2}\\2.\ \dfrac{x^2-x+4}{x-2}\\3.\ \dfrac{x^2-4x+10}{x-2}\\4.\ \dfrac{x^2-5x+16}{x-2}$

And the rewritten forms:

$(x-2)+\dfrac{6}{x-2}\\(x+3)+\dfrac{10}{x-2}\\(x+1)+\dfrac{6}{x-2}\\(x-3)+\dfrac{10}{x-2}$

We have to match the rewritten terms with the given expressions.

Let us consider the rewritten terms and let us solve them one by one by taking LCM.

$(x-2)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x-2)^{2}+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+4+6 }{x-2}\\\Rightarrow \dfrac{x^2-4x+10}{x-2}$

So, correct option is 3.

$(x+3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x+3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{(x^2+3x-2x-6)+10}{x-2}\\\Rightarrow \dfrac{x^2+x+4}{x-2}$

So, correct option is 1.

$(x+1)+\dfrac{6}{x-2}\\\Rightarrow \dfrac{(x+1)(x-2)+6}{x-2}\\\Rightarrow \dfrac{x^{2} +x-2x-2+6}{x-2}\\\Rightarrow \dfrac{x^{2} -x+4}{x-2}$

So, correct option is 2.

$(x-3)+\dfrac{10}{x-2}\\\Rightarrow \dfrac{(x-3)(x-2)+10}{x-2}\\\Rightarrow \dfrac{x^2-3x-2x+6+10}{x-2}\\\Rightarrow \dfrac{x^2-5x+16}{x-2}$

So, correct option is 4.

The answer is also attached in the answer area.

7 0

2 years ago

jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smalle

8_murik_8 [283]

We can solve this equation by using the Square Root Method.
First, take the square root of each side of the equation:
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5 0

3 years ago

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