If we are looking to simplify two trinomials, it is easiest to put them on top of each other and subtract.
7x² - 2x + 5 7x² - 2x + 5
- (3x² + 4x + 10) -3x² - 4x - 10
4x² - 6x - 5
We know that .
Solve using cross multiplication of the last two fractions. I will use to represent the width of the rectangle.
Multiply.
Divide both sides of the equation by .
Answer:
(a) P = 4x+10
(b) x = 6
Step-by-step explanation:
(a) The perimeter is the sum of the side lengths:
P = AB +AC +BC = 2x +2x +10
P = 4x+10
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(b) For P=34, the value of x is ...
34 = 4x +10 . . . .substitute given value for P
24 = 4x . . . . . . . subtract 10
6 = x . . . . . . . . . .divide by 4
A. This is the original equation: 2x + 3 - 1 = x + 5
b. 2x + 2 = x + 5 ← combined like terms on left side
2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
2x = x + 3 ←simplified each side
2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
x = 3 ← simplified each side
answer x = 3
c. 2(3) + 3 - 1 = 3 + 5
6 + 3 - 1 = 8
9 - 1 = 8
8 = 8