Perimeter is the sum of all three sides so in this case x+(3x+2)+(3x+2).
They also gave us the perimeter which is 39 so
39= x+(3x+2)+(3x+2)
Simplify so 39=7x+4. [x+3x+3x=7x and 2+2=4]
Then get x by itself so subtract 4 from both sides.
35=7x
Then divide both sides by 7 to get x by itself.
Which leaves us with
X=5
Answer:The roots are: √11 + 2 and -√11 + 2
Explanation:First, we would put the equation in the standard form which is as follows:
ax² + bx + c = 0
This can be done as follows:
x² - 4x + 4 - 11 = 0
x² - 4x - 7 = 0
By comparison:
a = 1
b = -4
c = -7
Now, to get the roots, we would use the quadratic equation shown in the attached image.
By substitution, we would find that:
either x = √11 + 2
or x = -√11 + 2
Hope this helps :)
Answer: Choice A. 4 times
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Explanation:
We'll be using this formula

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).
To start things off, we'll compute the AROC from x = 1 to x = 2.

Do the same for the AROC from x = 3 to x = 4.

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.