Question

Check all equations that are equivalent. EXPLAIN please

Answer 1

Step-by-step explanation:

A = ½ h (b₁ + b₂)

Multiply both sides by 2:

2A = h (b₁ + b₂)

Distribute the h:

2A = h b₁ + h b₂

So the second option is not correct.

Instead of distributing, divide by h:

2A/h = b₁ + b₂

Subtract b₂ from both sides:

b₁ = 2A/h − b₂

Third option is correct.

Next, use common denominator to combine.

b₁ = 2A/h − h b₂/h

b₁ = (2A − h b₂) / h

Factor out 2.

b₁ = 2 (A − ½ h b₂) / h

Fourth option is correct.