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melomori [17]
3 years ago
11

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&3(x+2)&=18 \\\\ B.&&x+2&=6 \end{al

igned} A. B. ​ ​ 3(x+2) x+2 ​ =18 =6 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C, Checked) C Multiply/divide both sides by the same non-zero constant (Choice D) D Multiply/divide only one side by a non-zero constant
Mathematics
2 answers:
pogonyaev3 years ago
5 0

Answer:

Multiply/divide both sides by the same non-zero constant

No

lukranit [14]3 years ago
3 0

Answer:

C Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

Given

A:\ 3(x + 2) = 18

B:\ x + 2 = 6

Required

How to get B from A

It can be seen that B is a factor of A.

And to get B from A, all you need to do is divide both sides of A by 3.

i.e.

\frac{3(x+2)}{3} = \frac{18}{3}

x+2 = 6

Hence, from the list of given options.

<em>Option C answers the question because 3 is a non zero constant and both sides of the equation were divided by 3</em>

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marta [7]
You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and  a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum.  You also know the amplitude has to be 10 since 18+2=20 and 20/2=10.  We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.

lets start of with a regular cos(x) graph.  This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.

-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
 
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.

-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.

Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.  

I hope this helps.  Let me know if anything is unclear.
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