3 years ago

3. Write the equation of a line that passes through the point (24, 25) and is

Mathematics

1 answer:

IceJOKER [234]3 years ago

4 0

Answer:

y=-1/3x + 33

Step-by-step explanation:

You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:

y-25=-1/3(x-24)

Now, you can convert to slope intercept by isolating y:

y=-1/3(x-24)+25

y=-1/3x+8+25

y=-1/3x+33

Hope this helps!

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig

Nady [450]

Answer:

$D = 45+19*sin(\frac{\pi}{12}*t)$

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

$A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\$

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

$D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)$