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labwork [276]
3 years ago
14

Simplify the expression: 8+(7+x)

Mathematics
1 answer:
vazorg [7]3 years ago
4 0
8 + 7 + x =
15 + x <===
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at a party, everyone shook hands with everybody else. there were 66 handshakes. How many people shook hands?
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12

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What is the length of the red segment in the graph below?
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2 years ago
What equation results from completing the squre and then factoring x^2+10=15
nlexa [21]

For this case we must complete squares:

x ^ 2 + 10x = 15

We add the square of half the coefficient of the term "x",

(\frac {b} {2a}) ^ 2 on both sides of the equation:

x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15

According to the perfect square trinomial we have:

(a + b) ^ 2 = a ^2 + 2ab + b ^ 2

Rewriting the expression we have:

a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40

ANswer:

(x + 5) ^ 2 = 40

6 0
3 years ago
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