Question

Check all equations that are equivalent.

a. A= 1/2 h(b1+b2)
b. 2A=hb1+b2
c. b1= 2A/k -b2
d. b1=(2(A- 1/2 hb2)/h

Answer 1

Equations a and d are equivalent.

Step-by-step explanation:

The equations that are equivalent are a and d.

To verify that a and d are equivalent, we can start by simplifying both equations.

For equation a, we have A = (1/2)h(b1+b2).

For equation d, we have b1 = (2(A- 1/2 hb2)/h).

If we substitute the value of b1 from equation d into equation a, we get A = (1/2)h((2(A- 1/2 hb2)/h) + b2).

Simplifying further, A = (A- 1/2 hb2) + b2.

Expanding and rearranging the terms, we get A = A + (1/2) hb2 + b2 - (1/2) hb2.

Removing the canceling terms, we have A = A + b2.

Therefore, a and d are equivalent.