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:
3x - 3
Step-by-step explanation:
I can’t see it needs better lighting
Answer:
1st:
2nd:
3rd:
Step-by-step explanation:
Graph all of them and see which ones cross the x- axis at the same points.
Answer: The length of the rectangle is 15 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The perimeter of a rectangle is expressed as 2 length + 2 width
Perimeter = 2(L + W)
The rectangle has a perimeter of 52 inches. It means that
2(L + W) = 52
L + W = 52/2 = 26 - - - - - - - 1
The length of the rectangle is 4 inches more than its width. It means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
W + 4 + W = 26
2W = 26 - 4 = 22
W = 22/2 = 11
L = W + 4 = 11 + 4 = 15