The product is negative 81 t squared + 16 ⇒ 2nd answer
Step-by-step explanation:
The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant
- Multiply (ax) by (cx) ⇒ 1st × 1st
- Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears
- Add the two products ⇒ like terms
- Multiply (b) by (d) ⇒ 2nd × 2nd
Let us find the product of (9 t - 4) and (-9 t - 4)
Multiply the 1st two terms
∵ (9 t)(-9 t) = -81 t²
Multiply the ext-reams
∵ (9 t)(-4) = -36 t
Multiply the nears
∵ (-4)(-9 t) = 36 t
Add the like terms
∵ -36 t + 36 t = 0
Multiply the 2nd two terms
∵ (-4)(-4) = 16
Write the answer
∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16
∴ (9 t - 4)(-9 t - 4) = -81 t² + 16
The product is -81 t² + 16
Learn more:
You can learn more about the product of algebraic expressions in brainly.com/question/1617787
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Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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Explanation:
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Perimeter = P = 36 in.
Length = L = 2 +2
Width = w .
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These are the two equations for the system of equations:
P = 2L + 2w = 36 in.
L = 2 + w
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Solve for "L" (length) of the frame.
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In the equation:
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P = 2L + 2w = 36.
{Note: standard knowledge; and/or look up:
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Formula for the Perimeter of a rectangle: P = 2L + 2w} ;
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We are given: P = 36 in.
Rewrite, substituting "2+w" for "L" ;
P = 2(2+w) + 2w = 36 ;
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Note: 2(2+w) = 2*2 + 2w = 4 + 2w .
Now, Rewrite the equation, substituting "(4 + 2w) for "2(2+w)" ;
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P = (4 + 2w) + 2w = 36 ;
P = 4 + 2w + 2w = 36 ;
Combine the "like terms" ;
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+ 2w + 2w = 4w ;
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P = 4 + 4w = 36 ;
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↔ 4 + 4w = 36 ;
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Subtract "4" from EACH SIDE of the equation:
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→ 4 + 4w − 4 = 36 − 4 ;
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to get:
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→ 4w = 32 ;
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→ Divide EACH SIDE of the equation by "4" ; to isolate "w" on one side of the equation; and to solve for "w" ;
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→ 4w / 4 = 32 / 4 ;
→ w = 8 .
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Now, to solve for: "L" (the length).
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Length: L = 2 + w ;
→ L = 2 + 8 = 10 inches.
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Answer in one complete sentence:
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"The length of the frame is ten (10) inches."
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You multiple the number by 0.075
Linear lines, i’m pretty sure
