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Aleksandr-060686 [28]
3 years ago
11

I need to find the slope for these lines please help !!!

Mathematics
1 answer:
astraxan [27]3 years ago
5 0

The green line passes through the points (0, -3) and (9, 0). Compute the slope:

(0 - (-3)) / (9 - 0) = 3/9 = 1/3

(That is, going left to right, divide the difference in the <em>y</em> coordinates by the difference in the <em>x</em> coordinates.)

Parallel lines have the same slope. So both answers are 1/3.

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vladimir1956 [14]
5 + 20 = 25 and that’s the answer
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Please help me with these 2 questions
STatiana [176]

Answer:

#1.)  x = 7

Step-by-step explanation:

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89 (54x − 36) + 2 = −3/4 (−40 + 16x) + 90xsolve for x
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Hey! Just in case you have to show your work.

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Find the domain of the function y = 3 tan(23x)
solmaris [256]

Answer:

\mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

In other words, the x in f(x) = 3\, \tan(23\, x) could be any real number as long as x \ne \displaystyle \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right) for all integer k (including negative integers.)

Step-by-step explanation:

The tangent function y = \tan(x) has a real value for real inputs x as long as the input x \ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

Hence, the domain of the original tangent function is \mathbb{R} \backslash \displaystyle \left\lbrace \left. \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

On the other hand, in the function f(x) = 3\, \tan(23\, x), the input to the tangent function is replaced with (23\, x).

The transformed tangent function \tan(23\, x) would have a real value as long as its input (23\, x) ensures that 23\, x\ne \displaystyle k\, \pi + \frac{\pi}{2} for all integer k.

In other words, \tan(23\, x) would have a real value as long as x\ne \displaystyle \frac{1}{23} \, \left(k\, \pi + \frac{\pi}{2}\right).

Accordingly, the domain of f(x) = 3\, \tan(23\, x) would be \mathbb{R} \backslash \displaystyle \left\lbrace \left. \frac{1}{23}\, \left(k\, \pi + \frac{\pi}{2}\right)  \; \right| k \in \mathbb{Z}  \right\rbrace.

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