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Alona [7]
3 years ago
9

Lilly and Maggie decorated their windows with twinkle lights. Maggie used 51 more twinkle lights than Lilly. Fill in the box wit

h the expression that represents the amount of twinkle lights Maggie used. Let m represent the amount of twinkle lights Maggie used and l represent the amount of twinkle lights Lilly used.If Lilly used 70 twinkle lights, how many twinkle lights did Maggie use?
Mathematics
1 answer:
nadya68 [22]3 years ago
6 0
We know that
m-------------------- > <span>the amount of twinkle lights Maggie used
l--------------------- >  </span><span>the amount of twinkle lights Lilly used
l=70
m=51+l
therefore
m=51+70=121
m=121

the answer is 121 (</span>amount of twinkle lights Maggie used)
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Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2

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x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100

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Option D

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