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Stels [109]
3 years ago
15

HELP ME ASAP PLEASE!

Mathematics
1 answer:
vodomira [7]3 years ago
4 0
The first one is the answer.
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The area of a rectangle is x 2 – 3x – 28. If the width is (x – 7), what is the length? (hint: it is a binomial)
satela [25.4K]

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)

7 0
3 years ago
Two sides of a triangle measure 17 inches and 20 inches. Which CANNOT be the length of the remainig side?
yaroslaw [1]
<h3>Answer:  37</h3>

========================================================

Work Shown:

We have a triangle with sides a,b,c such that

  • a = 17
  • b = 20
  • c = unknown

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.

3 0
3 years ago
a car salesman purchased a car at an auction for $8,550. he will re-sell the car at a markup of $11,970. what is the percent inc
nlexa [21]

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.

7 0
3 years ago
Read 2 more answers
(6+√25)/(4-√3) can be written in the form of (2+s√3)/13 where r and s are both integers what are the values of r and s
cestrela7 [59]

Answer:

r = 33

s = 18

Step-by-step explanation:

Given expression is \frac{6+\sqrt{27}}{4-\sqrt{3}}.

Multiply numerator and denominator with the conjugate of (4 - √3).  

\frac{(6+\sqrt{27})(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}

= \frac{4(6+\sqrt{27})+\sqrt{3}(6+\sqrt{27})}{4^{2}-(\sqrt{3})^2}

= \frac{24+4\sqrt{27}+6\sqrt{3}+\sqrt{81})}{16-3}

= \frac{24+12\sqrt{3}+6\sqrt{3}+\sqrt{81})}{16-3}

= \frac{24+18\sqrt{3}+9}{13}

= \frac{33+18\sqrt{3}}{13}

Now compare this expression with \frac{r+s\sqrt{3} }{13}

r = 33

s = 18

3 0
3 years ago
Solve picture that I provided
Nookie1986 [14]
I hope it helps good luck

3 0
3 years ago
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