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Salsk061 [2.6K]
3 years ago
8

A line is perpendicular to y = {2/3x + 2/3}

Mathematics
1 answer:
Anna35 [415]3 years ago
3 0

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

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mylen [45]

Answer:

A function f(x) is said to be periodic, if there exists a positive real number T such that f(x+T) = f(x).

You can also just say: A periodic function is one that repeats itself in regular intervals.

Step-by-step explanation:

The smallest value of T is called the period of the function.

Note: If the value of T is independent of x then f(x) is periodic, and if T is dependent, then f(x) is non-periodic.

For example, here's the graph of sin x.  [REFER TO PICTURE BELOW]

Sin x is a periodic function with period  2π  because  sin(x+2π)=sinx  

Other examples of periodic functions are all trigonometric ratios, fractional x (Denoted by {x} which has period 1) and others.

In order to determine the period of the determined graph however, just know that the period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.

Hopefully this helped a bit.

6 0
3 years ago
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Answer:

Choice A

Step-by-step explanation:

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3 0
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