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Katarina [22]
2 years ago
13

Please help w/ #18 (10 points)

Mathematics
1 answer:
patriot [66]2 years ago
6 0
Answer: y=-(1/8)x+(21/2)


Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

8 —> -1/8

Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

y=-(1/8)x+b
10=-(1/8)4+b
10=(-1/2)+b
b=(21/2)

Now put b back into the new equation

y=-(1/8)x+b

y=-(1/8)x+(21/2)






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Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

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A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

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B = \frac{2 \pi}{24}\\\\

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C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

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