Answer: In the resulting equation: " a² - 12a + 32 = 0 " ;
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The "coefficient" of the "a" term is: " - 12" .
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The "constant" is: " 32 " .
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Explanation:
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Let: "a = x² + 4 " .
Given: (x² + 4)² + 32 = 12x² + 48 ;
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Factor: "12x² + 48" into " (x² + 4) " ;
"12x² + 48" = 12 (x² + 4) " ;
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Given: (x² + 4)² + 32 = 12x² + 48 ;
rewrite as; "a² + 32 = 12a " ;
Subtract "12a" from each side of the equation;
"a² + 32 - 12a = 12a - 12a ;
to get:
" a² - 12a + 32 = 0 " .
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The coefficient of the "a" term; that is:
The "coefficient" of " -12a" ; is: "- 12" .
The constant is: "32<span>" .
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Answer:
Step-by-step explanation:
When two dice are rolled, the sample space is
In total, 36 outcomes
First, find the probability that the sum is 10 or greater:
All favorable outcomes
10: 
11: 
12: 
In total, 6 outcomes.
The probability that the sum is 10 or greater is
Use the complement rule to find that the probability that the sum of the dice is less than 10:
Answer:
a(n) = 37 - 5(n -1)
Step-by-step explanation:
Notice that each new term is obtained by subtracting 5 from the previous term. Thus, this is an arithmetic sequence with common difference -5 and first term 37.
The explicit formula for the nth term is a(n) = a(1) - 5(n - 1) = 37 - 5(n -1)
Answer:
LA = 624 cm²
Step-by-step explanation:
h² = 5² + 12²
h = 13
LA = 4 × bh/2
LA = 4 × (24 cm)(13 cm)/2
LA = (48 cm)(13 cm)
LA = 624 cm²
Yes I’m Pretty sure it is 56 cups
Hope this helps!!
