This Blog exists for the collective benefit of all algebra students. While the posts are specific to Mr. Chamberlain's class, any and all "algebra-ticians" are welcome. The more specific your question (including your own attempts to answer it) the better.
Could someone help me on #27, pg 495. I filled in the formula for area of a square (s^2) with 15x and got 225x^2. Then I put 5x into the formula for the area of a circle and got π(25x^2). From there I was just confused on how to subtract the two. I think something in my expressions went wrong.
YUP! Did you draw a picture? To get the area of the frame, you need to subtract the area of the circle (since it is supposedly a cut-out) from the area of the square.
Using your correct calculations from above:
225x^2 - 25πx^2
This is a simplified expression. Since we are algebraic mechanics, we are asked to write the answer in factored form. Do you see any common factors? I do. 25 and x^2, yes?
Could someone help me on #27, pg 495.
ReplyDeleteI filled in the formula for area of a square (s^2) with 15x and got 225x^2.
Then I put 5x into the formula for the area of a circle and got π(25x^2).
From there I was just confused on how to subtract the two. I think something in my expressions went wrong.
YUP! Did you draw a picture? To get the area of the frame, you need to subtract the area of the circle (since it is supposedly a cut-out) from the area of the square.
DeleteUsing your correct calculations from above:
225x^2 - 25πx^2
This is a simplified expression. Since we are algebraic mechanics, we are asked to write the answer in factored form. Do you see any common factors? I do. 25 and x^2, yes?
"Pull out" the 25 and the x^2 and you get:
25x^2(9 - π)
I had problems with #27 and also #33 i wasnt too sure on. can someone help?
ReplyDelete#33)
Deletet^2(t + 1) - t(2t^2 - 1)
Distribute
t^3 + t^2 - 2t^3 + t
Combine Like Terms
-t^3 + t^2 + t
Capeesh?
Had they asked for factored form, you could have factored out a '-t' to obtain:
-t(t^2 - t - 1)
Fascinating, eh?