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:
MQ = 16.4
By the <u>Parallelogram Diagonals Theorem</u> , MP = <u>PQ</u>
So MQ = 2 · <u>MP</u>
<u />
Step-by-step explanation:
<u>Parallelogram Diagonals Theorem</u>
The diagonals of a parallelogram bisect each other, i.e. they divide each other into <em>two equal parts</em>.
P is the point of intersection of the diagonals.
Therefore, MP = PQ and LP = PN
If MP = 8.2, then PQ = 8.2
⇒ MQ = 8.2 + 8.2 = 16.4
Answer:
x = -8
y = -6
Step-by-step explanation:
y = -2x - 22
y = x + 2
x + 2 = -2x - 22
x + 2x = -22 - 2
3x = -24
x = -24 : 3
x= -8
y = -8 + 2
y = -6
Increase = Going up.
Therefore Graph D is increasing. simply logic
