Tutor profile: Courtney M.
The perimeter of a rectangle is 60 yards. What is it's length if its width is 2 times its length?
Here we have to find the width and length of a rectangle. We know that the perimeter is 60 so we can create an equation for our rectangle using the perimeter equation. W+W+L+L=Perimeter combine line terms to get 2W+2L=60yards We have a problem! There are two unknown variables! W and L! We can create another equation using the problem to substitute into our equation. The question states that width is 2 times it's length. This means that W=2L We can substitute W for 2L in our first equation! 2(2L)+2L=60 Substitute W=2L 4L+2L=60 Simplify and multiply 2*2L 6L=60 Combine like terms L=10 Divide both sides by 6 We know our length is 10 and the width is 2 times the length. Our width must be 20! TO check our work let's add both terms to our first equation 2W+2L=60 2(20)+2(10)=60 40+20=60 60=60! Final answer is the L=10 and the W=20!
What is the derivative of 4x^2?
To do a derivative of 4x^2 you multiply the power of the x term by the constant in front of the term and then subtract the power of the x term by 1 1. Multiply the power of the x term by the constant in front. 2*4=8 2. Subtract the power of the x term by 1. 2-1=1 Put it all together! 8x is our final answer!
Please use the FOIL method to expand this polynomial function: (2x+4)*(3x+2)
The FOIL method is a mnemonic device to help students remember the steps to multiply two polynomials together. The steps are as follows: F- First: multiply the first two terms of each polynomial together. This would be 2x and 3x. O-Outer: multiply the outer terms of each polynomial together. This would be 2x and 2 I-Inner: multiply the inner terms of each polynomial together. This would be 4 and 3x L-Last: multiply the last terms of each polynomial together. This would be 4 and 2 First 2x*3x=6x^2 Outer 2x*2=4x Inner 4*3x=12x Last 4*2=8 Putting them all together we get 6x^2+4x+12x+8 Last step is to combine like terms. In our example 4x and 12x both have one x included. Our final answer will be 6x^2+16x+8