Show how to use the distributive property to divide 54 by 2 by breaking 54 into 40 + 14.

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Explanation:

$\dfrac{54}{2}=\dfrac{(40+14)}{2}=\dfrac{40}{2}+\dfrac{14}{2}=20+7=27$

Dividing each of the terms of the sum by 2 is equivalent to dividing the sum by 2.

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Which equation is related to √x+10-1=x ? The square root is over the x+10

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(b) x + 10 = x^2 + 2x + 1

Step-by-step explanation:

The equation can be transformed to one without the radical by isolating the radical and squaring both sides.

$\sqrt{x+10}-1=x\qquad\text{given}\\\\\sqrt{x+10}=x+1\qquad\text{add 1 to both sides}\\\\x+10=(x+1)^2\qquad\text{square both sides}\\\\\boxed{x+10=x^2+2x+1}\qquad\text{eliminate parentheses}$

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<em>Additional comment</em>

In typeset formulas, radicals, fraction bars, and superscript formatting serve to group expressions. In plain text, the only available grouping symbol is parentheses.

$\sqrt{x+1}}\ \Rightarrow$ √(x+1)