<u>4x+8:</u>
9x+2-5x+6
2x+1+2x+7
<u>-4x-8</u>
-7x-10+3x+2
-7x-10+3x+2
<u>4x-8:</u>
-x+5+5x-13
-2x-7+6x-1
Step-by-step explanation:
We will have to solve each expression to see to which category it belongs
So,
1. 9x+2-5x+6
2. -2x-7+6x-1
3. 2x+1+2x+7
4. -6x+2+2x-10
5. -x+5+5x-13
6. -7x-10+3x+2
Hence,
<u>4x+8:</u>
9x+2-5x+6
2x+1+2x+7
<u>-4x-8</u>
-7x-10+3x+2
-7x-10+3x+2
<u>4x-8:</u>
-x+5+5x-13
-2x-7+6x-1
Keywords: Polynomials, expressions
Learn more about polynomials at:
#LearnwithBrainly
Let the number of corn acres be xx and the number of wheat acres be yy.
We are given that:
1- The total number of acres is 180, this means that:
xx + yy = 180 ..............> equation I
2- The number of corn acres is 3 times that of wheat. This means that:
xx = 3yy .........> equation II
Substitute with equation II in equation I to get the value of yy as follows:
xx + yy = 180
3yy + yy = 180
4yy = 180
yy = 45 acres
Now substitute with yy in equation II to get xx as follows:
xx = 3yy
xx = 3*45
xx = 135 acres
Based on the above calculations:
acres of corn = xx = 135 acres
acres of wheat = yy = 45 acres
With this question you can imagine that you have a 6 cm tall cylindrical container and you take a piece of paper that is 4 cm by 6 cm and wrap it around the cylinder, then take the sheet of paper off whilst maintaining its shape - the paper will form the shape of a cylinder (without a top and bottom) but the two dimensional shape enclosed would be a circle and the area of this circle is what the question is asking.
Now given that the cylinder is 6 cm tall you can assume that the width of the sheet of paper that you would be wrapping around it would also be 6 cm tall and thus the length of that paper would be 4 cm (we are given the dimensions of the sheet as 4 cm x 6 cm) - this length is equal to the circumference of the circle that forms the base of the cylinder:
C = 2πr
4 = 2πr
r = 2/π
Now that we know the radius of the circle we can find its area:
A = πr^2
A = π*(2/π)^2
= 4/π
= 1.27 cm^2 (to two decimal places)
Basically with these questions you should always try to imagine them in a practical situation, it makes it a lot easier in the long run.
