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AysviL [449]
4 years ago
8

What is the simplified form of the quantity of x plus 8, all over the quantity of 3x plus 7 + the quantity of x plus 7, all over

the quantity of x plus 4?
x+8/3x+7 + x+7/x+4
PLEASE help!
I don't understand it at all!
Mathematics
2 answers:
Temka [501]4 years ago
6 0
\frac{x+8}{3x+7} + \frac{x+7}{x+4}  \\ = \frac{(x+8)(x+4)+(x+7)(3x+7)}{(3x+7)(x+4)}  \\ = \frac{ x^{2} +12x+32+3 x^{2} +28x+49}{3 x^{2} +19x+28}  \\ = \frac{4 x^{2} +40x+81}{3 x^{2} +19x+28}
enot [183]4 years ago
4 0

Answer:

\frac{4x^2+40x+81}{3x^2+19x+28}

Step-by-step explanation:

We have been given an expression \frac{x+8}{3x+7}+\frac{x+7}{x+4}. We are asked to find the simplified form of our given expression.

Since the denominators of our given expression is not equal, so we need to make a common denominator to add our given expression as:  

\frac{(x+8)(x+4)}{(3x+7)(x+4)}+\frac{(x+7)(3x+7)}{(x+4)(3x+7)}

Using FOIL we will get,  

\frac{x*x+4x+8x+8*4}{(3x*x+3x*4+7x+7*4}+\frac{x*3x+7x+7*3x+7*7}{x*3x+7x+4*3x+7*4}

\frac{x^2+12x+32}{3x^2+12x+7x+28}+\frac{3x^2+7x+21x+49}{3x^2+7x+12x+28}  

\frac{x^2+12x+32}{3x^2+19x+28}+\frac{3x^2+28x+49}{3x^2+19x+28}  

Since he denominators are equal, so we can add numerators as:

\frac{x^2+12x+32+3x^2+28x+49}{3x^2+19x+28}  

\frac{4x^2+40x+81}{3x^2+19x+28}  

Therefore, the sum of our given expression would be \frac{4x^2+40x+81}{3x^2+19x+28}.

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Answer:

A. is incorrect. He has to divide 76 by 19, instead of subtracting 19 to 76.

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Step-by-step explanation:

Hi, Martin’s answer is incorrect.

A. He has to divide 76 by 19, instead of subtract 19 to 76.

The correct steps are:

19v = 76  

Since 19 is multiplying the variable, to eliminate it we have to divide by 19.

v = 76/19

v = 4

B. This equation has one solution. It’s v=4

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Answer:

SA = 1,176 ft².

Step-by-step explanation:

To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.

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20 × 18 = 360 ft²

For the triangular faces: (Use formula 1/2(b·h)

1/2(18 × 12) = 108 ft²

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108 × 2 = 216 ft².

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guajiro [1.7K]

No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.

<h3>When are Two Lines Proven to be Parallel to each other?</h3>

Two lines that are cut across by a transversal can be proven to be parallel to each other if:

  • The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
  • The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
  • The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
  • The corresponding angles along the transversal and on the two lines are congruent [corresponding  angles theorem].

Thus, given the following information:

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With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.

In summary, we can conclude that:

D. None of the options are correct.

Learn more about the Parallel lines on:

brainly.com/question/16742265

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