Question

The formula for the area of a trapezoid is A = one-half (b Subscript 1 Baseline + b Subscript 2 Baseline) times h When this equation is solved for b Subscript 1, one equation is b Subscript 1 Baseline= StartFraction 2 A Over h EndFraction minus b Subscript 2. Which of the following is an equivalent equation to find b Subscript 1? b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)

Answer 1

Answer:

  $b_1=\dfrac{2A-b_2h}{h}$

Step-by-step explanation:

Using the given formula for b₁, you can find the equivalent by using a common denominator.

  $b_1=\dfrac{2A}{h}-b_2\\\\b_1=\dfrac{2A}{h}-\dfrac{b_2h}{h}\\\\\boxed{b_1=\dfrac{2A-b_2h}{h}}\qquad\text{matches the first choice}$

Answer 2

Answer:

letter A.

Step-by-step explanation:

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