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Brums [2.3K]
3 years ago
10

Preform the operation and show work

Mathematics
1 answer:
wel3 years ago
7 0

Answer:

1 / (x² + 6x + 8)

Step-by-step explanation:

(x + 4) / (x² + 5x + 6) * (x + 3) / (x² - 16)

= (x + 4) / (x + 2)(x + 3) * (x + 3) / (x + 4)(x - 4)

               ↑ factor x² + 5x + 6    ↑ factor x² - 16 using difference of squares

= 1 / (x + 2) * 1 / (x - 4)    ← x + 4 and x + 3 cancel

= 1 / (x + 2) * (x + 4) ← multiply

= 1 / (x² + 6x + 8) ← expand

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The answer is D or
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3 years ago
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Use the discriminant to determine how many real number solutions exist for the quadratic equation –4j2 + 3j – 28 = 0. A. 3 B. 2
Zepler [3.9K]

Answer:

C. 0

Step-by-step explanation:

–4j^2 + 3j – 28 = 0

The discriminant is b^2-4ac  if >0 we have 2 real solutions

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3 years ago
What is the value of x? <br>______°
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Find the value of x in the following diagram,<br> 3x + 10<br> Here, B and D are points of tangency.
SVEN [57.7K]

<u>Given</u>:

The given circle with center at C. The lines AB and AD are tangents to the circle C.

The length of AB is (3x + 10)

The length of AD is (7x - 6)

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<u>Value of x:</u>

Since, we know the property of tangent that, "if two tangents from the same exterior point are tangent to a circle, then they are congruent".

We shall determine the value of x using the above property.

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