Answer:
x = 60
1) 60
2) 360
3) 160
60 + 360 + 160 = 580
Step-by-step explanation:
1) x
2) 6x
3) x + 100
x + 6x + x + 100 = 580
8x = 580 - 100
x = 480/8
x = 60
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).
Answer:A!
Step-by-step explanation:
Answer:
B. a. Given; b. Substitution Property; c. Subtraction Property of Equality; d. Division Property of Equality; e. Symmetric Property of Equality
Step-by-step explanation:
Given expression,

By substituting x = 8,


By subtraction property of equality,

Division property of equality,

By symmetric property of equality,