What is the simplified form of the following expression?
Question
Answer:
Answer:242Step-by-step explanation:Simplify the following:
11 ((9^2 - 5^2)/2^2 + 8)
Hint: | Evaluate 2^2.
2^2 = 4:
11 ((9^2 - 5^2)/4 + 8)
Hint: | Evaluate 5^2.
5^2 = 25:
11 ((9^2 - 25)/4 + 8)
Hint: | Evaluate 9^2.
9^2 = 81:
11 ((81 - 25)/4 + 8)
Hint: | Subtract 25 from 81.
| 7 | 11
| 8 | 1
- | 2 | 5
| 5 | 6:
11 (56/4 + 8)
Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.
The gcd of 56 and 4 is 4, so 56/4 = (4Γ14)/(4Γ1) = 4/4Γ14 = 14:
11 (14 + 8)
Hint: | Evaluate 14 + 8 using long addition.
| 1 | Β | 1 | 4
+ | | 8
| 2 | 2:
11Γ22
Hint: | Multiply 11 and 22 together.
| 2 | 2
Γ | 1 | 1
| 2 | 2
2 | 2 | 0
2 | 4 | 2:
Answer: 242
solved
general
8 months ago
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