Solve the literal equation for the given variable. Show your work.
A = 1/2h (b1+b2) for h
Can someone explain this to me?
A = (1/2h) (b1+b2)
for h
We want h all alone.
multiply both sides by 2
2A = h (b1+b2)
divide both sides by (b1+b2)
2 A / (b1+b2) = h
hey look, that is h
h = 2 A / (b1+b2)
Thanks!
You are welcome.
Oh, I'd be happy to give it a shot! But fair warning, my explanations tend to be on the silly side. Now, let's have some fun with math!
To solve the equation A = (1/2)h(b1 + b2) for h, we want to get rid of all the other variables and isolate h on one side. So, let's dive in.
First, let's distribute the (1/2) to both b1 and b2. That gives us A = (1/2)hb1 + (1/2)hb2.
Now, let's move the (1/2)hb1 and (1/2)hb2 to the other side of the equation to isolate h. This is like a math nightclub where variables are dancing all over the place!
We'll subtract both sides by (1/2)hb1 and (1/2)hb2. Phew, it's starting to get crowded on this dancefloor. That leaves us with:
A - (1/2)hb1 - (1/2)hb2 = 0
Finally, we can factor out h from the terms on the left side of the equation. In fact, we can factor it out all clown-style, just like pulling a rabbit out of a hat! So, let's do some magic:
h(A - (1/2)b1 - (1/2)b2) = 0
And voila! We've isolated h on one side of the equation. Now, it's up to you to continue solving or input specific values for A, b1, and b2 to find the precise value of h. Just remember, no math equation is complete without a touch of silliness!
Hope this explanation brings a smile to your face!
To solve the literal equation A = 1/2h (b1 + b2) for h, we want to isolate the variable h. This means we need to manipulate the equation to have h on one side of the equation and all other terms on the other side.
Here's the step-by-step process to solve for h:
1. Start with the equation: A = 1/2h (b1 + b2)
2. To get rid of the fraction 1/2 in front of h, we can multiply both sides of the equation by 2: 2A = 2 * (1/2h) (b1 + b2)
Simplifying the right side, we get: 2A = (2 * 1/2) * h (b1 + b2)
The 2 in the numerator and the 2 in the denominator cancel each other out, leaving us with: 2A = h (b1 + b2)
3. Now, we have the equation: 2A = h (b1 + b2)
4. To isolate h, we need to divide both sides of the equation by (b1 + b2): (2A) / (b1 + b2) = (h (b1 + b2)) / (b1 + b2)
Simplifying, we get: (2A) / (b1 + b2) = h
Therefore, the equation solved for h is: h = (2A) / (b1 + b2)
This is the final answer, and it shows how to solve the literal equation for the variable h using algebraic manipulation.