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Ugo [173]
2 years ago
14

Identify the domain of the following rational expression:

Mathematics
1 answer:
dangina [55]2 years ago
6 0

Answer: D

Step-by-step explanation:

The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:

3x+15=0

3x=-15

x=-5

Every single real 'x' value will work besides when x = -5. Therefore the answer is D

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Convert 13,000,000,000,000,000,000,000,000 to scientific notation.
jek_recluse [69]

Answer:

1.3 times 10 to the 25th power

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8 0
3 years ago
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Given a right triangle with a hypotenuse of 15 feet and a height of 6 feet, find the measurement of angle
Artist 52 [7]

Answer:

66.42° between height and hypotenuse

23.58° between base and hypotenuse

Step-by-step explanation:

Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.

Similarly, sine of an angle is given by opposite divided by hypotenuse

Tangent is given by opposite divided by adjacent

In rhis case, we use cosine

\theta=cos^{-1}(\frac {6}{15})=66.4218215217982\\\theta\approx 66.42^{\circ}

Therefore, the angle between the hypotenuse and height is 66.42°

To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°

8 0
3 years ago
Am I correct on 12?
lukranit [14]
Yes, HL would be correct.

This states that if two hypotenuses are congruent (they have the same one)

and if one pair of legs are congruent,

the figure is congruent.

I hope this helps!
~cupcake
7 0
4 years ago
2. What is the domain and range of the
Lapatulllka [165]

Answer:

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  • range: y ≥ 0

Step-by-step explanation:

The domain of a function is the set of x-values for which it is defined. The range of a function is the set of y-values the function produces.

<h3>Domain</h3>

The domain is the horizontal extent of the graph. This graph extends from x=0 toward x→∞. The domain is x ≥ 0. In interval notation, it is written [0, ∞).

<h3>Range</h3>

The range is the vertical extent of the graph. This graph extends from y=0 toward y→∞. The range is y ≥ 0. In interval notation, it is written [0, ∞).

6 0
2 years ago
Can someone please help me with math
Svetach [21]
What kind of math is it? Just wondering so that I can help you
3 0
3 years ago
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