Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
Answer:
3x+1
Step-by-step explanation:
The easiest way to think about this problem is to understand that volume is area multiplied by height.
So if volume = l*w*h, and area = l*w, then if you divide volume by area you will be left with height.
Assuming the volume equation is 3x^3+7x^2+2x and the area is x^2+2x, this problem can be solved using polynomial long division.
I'll be using 1. , 2. , etc to show steps for this part.
1. Divide 3x^3 by x^2
(3x^3/x^2) = 3x
2. Multiply 3x from step 1 by the area equation
3x(x^2+2x)=3x^3+6x^2
3. Subtract 3x^3+6x^2 from the volume equation
3x^3+7x^2+2x - 3x^3+6x^2 = x^2+2x
NOTE: This is equal to the area equation
4. Divide x^2+2x (from step 3) by x^2 +2x (from area equation)
Please note that this skips steps but is allowed in this case because the result from step 3 was equal to the area equation.
(x^2+2x)/(x^2+2x) = 1
5. Combine the results from step 1. and step 4.
3x+1
This answer is the height of the prism.
You can check this by multiplying 3x+1 by the area equation:
(3x+1)*(x^2+2x) = 3x^3+6x^2+x^2+2x = 3x^3+7x^2+2x = volume
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
