can someone correct this for me:
Directions: Solve each literal equation for the indicated cariable.
A= 1/2 h (B+b) (for b) Area of
trapezoid
My answer: 2A divided by h minus B equals b.
yes.
To solve the given literal equation for variable "b," you need to isolate "b" on one side of the equation. Let's go through the steps together:
The original equation: A = (1/2)h(B + b)
1. Distribute the (1/2)h to both B and b:
A = (1/2)hB + (1/2)hb
2. Move the (1/2)hB term to the other side by subtracting it from both sides:
A - (1/2)hB = (1/2)hb
3. Simplify the left side of the equation:
A - (1/2)hB = hb
4. Divide both sides of the equation by h:
(A - (1/2)hB) / h = b
Since the left side is in terms of "A," "h," and "B" while the right side only has "b," this equation is solved for "b." However, we can simplify the equation further:
5. Expand the numerator on the left side of the equation:
A/h - (1/2)hB/h = b
6. Further simplify the equation:
A/h - (1/2)B = b
So, the correct solution for "b" is: b = A/h - (1/2)B.