Hi! I'm happy to help!
To solve this, we first need to look at the perimeter equation:
P=2L+2W
We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:
56=2x+(2(x-2))
Let's simplify what the width is by multiplying:
56=2x+2x-4
Now, let's combine our 2xs
56=4x-4
Now, we just need to solve for x in order to find our length and width.
First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:
56=4x-4
+4 +4
60=4x
Now, all we have to do is divide both sides by 4 and x will be fully isolated:
60=4x
÷4 ÷4
15=x
Now that we know x, let's plug this into our previous equations:
L=x=15
<u>L=15</u>
W=x-2=15-2=13
<u>W=13</u>
To verify our answers, we can plug this into our perimeter equation:
56=2(15)+2(13)
56=30+36
56=56
After double checking our answers, we know that our length is 15 and our width is 13.
I hope this was helpful, keep learning! :D
Answer:
x - 6
Step-by-step explanation:
(4x2 + x - 5) - (5x2 - 1)
According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.
Then we do the multiplication because it comes before addition and subtraction.
4x2 = 8
Now we have 8 + x - 5
Combine like terms and 8-5=3 so we have 3 + x
Now for the second one.
5x2=10
10-1=9
Subtracting this from the first expression we have:
3+x-9 =
x - 6
The range of sin(x) is [-1,1].
No matter what the value of x,pi,pi/2,pi/4,pi/6,-pi/2,etc the value of sinx will always be between -1 and 1(both included)
I believe the 4th one
an=145+an-1 and a1=20
4m + 3m + m. Add it all.
= 7m
