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3 years ago

Which expression is equivalent to

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

$x^2+3x+3+\dfrac{2x^2+13x+15}{x+5}=x^2+3x+3+\dfrac{2x^2+10x+3x+15}{x+5}=\\\\\\=
x^2+3x+3+\dfrac{2x(x+5)+3(x+5)}{x+5}=\\\\\\=x^2+3x+3+\dfrac{(2x+3)(x+5)}{x+5}=x^2+3x+3+2x+3=\\\\\\=\boxed{x^2+5x+6}$

Answer B.

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What is the logarithmic form of the solution to 102t = 9?

Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is $t = \frac{\log(9)}{2}$

<h3>How to rewrite the equation</h3>

The expression is given as:

$10^{2t} = 9$

Take the logarithm of both sides

$\log(10^{2t}) = \log(9)$

Apply the power rule of logarithm

$2t\log(10) = \log(9)$

Divide both sides by log(10)

$2t = \frac{\log(9)}{\log(10)}$

Apply change of base rule

$2t = \log_{10}(9)$

Divide both sides by 2

$t = \frac{\log_{10}(9)}{2}$

Rewrite as:

$t = \frac{\log(9)}{2}$

Hence, the equation in logarithmic form is $t = \frac{\log(9)}{2}$

Read more about logarithms at:

brainly.com/question/25710806

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Answer:

Step-by-step explanation:

10.

$\left \{ {{x-2y=4} \atop {4x+2y+6}} \right.$

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2 - 2y = 4

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11.

$\left \{ {{6x-2y=-4} \atop {-4x+3y=-4}} \right.$

In order to get terms to cancel out, multiply the top by 3 and bottom by 2

$\left \{ {{18x-6y=-12} \atop {-8x+6y=-8}} \right.$

The y values cancel out if you add the equations

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