9514 1404 393
Answer:
A: (3x +4)
B: (4x +5y) × (4x -5y)
Step-by-step explanation:
<u>Part A</u>:
Since we know the trinomial is a perfect square, we know the terms of each binomial factor are the square roots of the first and last terms of the trinomial.
9x² +24x +16 = (√(9x²) +√16)² = (3x +4)²
The side of the square is 3x+4.
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<u>Part B</u>:
The difference of squares is factored like this:
a²-b² = (a +b)(a -b)
The given area expression is the difference of squares with ...
a = 4x, b = 5y
so, the factorization is ...
16x² -25y² = (4x +5y)(4x -5y)
The dimensions of the rectangle are (4x+5y) by (4x-5y).
#1 30
#2 150
#3 110
#4 60
#5 2x+50+3x=180
combine like terms
5x+50=180
subtract 50 from both sides
5x=130
divide both sides by 5 to isolate the variable
x=26
#5 3x=3(26)=78
#6 2x+50=2(26)+50=102
#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD
#8 AGE and FHD, CHF and EGB
Answer:
179 + 49+ 139 = 367
Step-by-step explanation:
