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adoni [48]
3 years ago
8

Which statement is true when all points of a line lie in a plane?

Mathematics
1 answer:
stira [4]3 years ago
5 0
Your answer would be choice 3, because when all points of a line lie in a plane, the plain contains the line so the line can contain all of the points. Hope this helped. ;)
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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

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:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

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

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

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

   = \frac{\pi}{12}

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

6 0
3 years ago
Select the correct answer. Function f is an exponential function that has an initial value of 64 and decreases by 50% as x incre
lozanna [386]

9514 1404 393

Answer:

  D. Both functions are decreasing at the same average rate on that interval

Step-by-step explanation:

The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.

__

Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.

3 0
2 years ago
Read 2 more answers
Please help i have no idea with this lesson
sergey [27]

Answer:

40

Step-by-step explanation:

ABD-CBD=ABD

70-30=40

3 0
3 years ago
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Represent the following expressions as a power of the number a (a +0)<br> a^2 * (a^0)^3/a^11
LekaFEV [45]
I have no idea how to do this problem i dont know what a is
6 0
2 years ago
What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8
deff fn [24]
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

y - y_1 = \frac{1}{2}(x - x_1), where (x_1, y_1) represents the points being passed through.

y - 4 = \frac{1}{2}(x + 6)
2y - 8 = x + 6
2y = x + 14
y = \frac{1}{2}x + 7
3 0
3 years ago
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