Answer:
(x + 4)
Step-by-step explanation:
By factoring the area expression we obtain the length, that is
x² - 3x - 28
Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)
The factors are - 7 and + 4 , since
- 7 × 4 = - 28 and - 7 + 4 = - 3 , then
x² - 3x - 28 = (x - 7)(x + 4)
with width (x - 7) and length (x + 4)
<h3>
Answer: 37</h3>
========================================================
Work Shown:
We have a triangle with sides a,b,c such that
The third side c can be represented by this inequality
b-a < c < b+a
which is a modified form of the triangle inequality theorem.
Plug in the given values to get
b-a < c < b+a
20-17 < c < 20+17
3 < c < 37
The third side length is between 3 and 37; it cannot equal 3, and it cannot equal 37. So we exclude both endpoints.
Of the answer choices, the values {7,20, 12} are in the range 3 < c < 37.
The value c = 37 is not in the range 3 < c < 37 because we can't have the third side equal to either endpoint. Otherwise, we get a straight line instead of a triangle forming.
So that's why 37 is the only possible answer here.
Answer:
40%
Step-by-step explanation:
You subtract 11,970-8,550 = 3,420 to isolate the increase.
Divide 3,420/8,550 = .4 to get the percent increase of the markup.
The answer is .4 or 40% (they are equivalent)
You can check my work by multiplying 8,550 * .4 = 3,420
This answer is the percent of 8,550 that it increased (40% of 8,550) so make sure that is what the question is asking. If it is then it's your answer.
Answer:
r = 33
s = 18
Step-by-step explanation:
Given expression is
.
Multiply numerator and denominator with the conjugate of (4 - √3).

= 
= 
= 
= 
= 
Now compare this expression with 
r = 33
s = 18
I hope it helps good luck