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3 years ago

Emily is solving the equation 2(x+9)=4(x+7)+2 where did she make an error

1 answer:

6 0

Hello!

2(x + 9) = 4(x + 7) + 2

Distribute the 2

2x + 18 = 4(x + 7) + 2

Distribute the 4

2x + 18 = 4x + 28 + 2

Combine like terms

2x + 18 = 4x + 30

Subtract 18 from both sides

2x = 4x + 12

Subtract 4x from both sides

-2x = 12

Divide both sides by -2

x = -6

Where she did something different than me is her mistake

Hope this helps!

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Answer:

$1\dfrac{1}{4}a^6b^3$

Step-by-step explanation:

A square of a monomial is $1\dfrac{9}{16}a^{12}b^6$ that is $\dfrac{25}{16}a^{12}b^{6}$

Use properties of exponents:

$(a^m)^n=a^{mn}\\ \\\dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m\\ \\a^mb^m=(ab)^m$

Note that

$\dfrac{25}{16}=\dfrac{5^2}{4^2}=\left(\dfrac{5}{4}\right)^2\\ \\a^{12}=a^{6\cdot 2}=(a^6)^2\\ \\b^6=b^{3\cdot 2}=(b^3)^2$

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So, the monomial is

$\dfrac{5}{4}a^6b^3=1\dfrac{1}{4}a^6b^3$

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