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Elena-2011 [213]
3 years ago
6

PLZ help dividing exponents 7^12 ÷ 7^4 is equal to _____. 1^3 3 7^3 7^8

Mathematics
2 answers:
son4ous [18]3 years ago
5 0

Answer:

7^8

Step-by-step explanation:

Find what each exponent equals

7^12 equals 13,841,287,201

7^4 equals 2,401

Divide the two numbers

It equals 5,764,801 which is equivalent to 7^8

Nostrana [21]3 years ago
3 0

Answer:

7^8

Step-by-step explanation:

did this so you could give the other person brainlyist

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Question # 13

Answer:

The required equation for the given function is <em>y = 4sin(x/2+2π/3) -2 , as shown attached graph diagram.</em>

<em>Step-by-step explanation: </em>

As the general sine function is given by

y=asin(bx+c)+d.......[A]

  • amplitude = a
  • period = 2π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • amplitude = a = 4
  • period = 4π
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and c = 2π/3 in Equation [A] would bring us the required equation for the given function.

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<em>Note: The graph is also shown in attached diagram.</em>

                                             Question # 14

<em>Answer:</em>

The required equation for the given function is y = cot(x+π/3)+2, as shown in attached graph diagram.

<em>Step-by-step explanation: </em>

As the general cotangent function is given by

y=acot(bx+c)+d.......[A]

  • amplitude = a
  • period = π ÷ b
  • Phase shift = -c ÷ b
  • Vertical shift = d

As in the question,  

  • period = π
  • phase shift = -π/3
  • Vertical shift = d = 2

As  

period = π ÷ b  

b = π/period

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b = 1  

Also

Phase shift = -c/b

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π/3 = c/b  

c = b × π/3  

c = 1 × π/3  

c = π/3

So, putting vertical shift ⇒ d = 2, b = 1 and   c = π/3 in Equation [A] would bring us the required equation for the given function.

y=acot(bx+c)+d

y = cot(x+π/3)+2

<em>Note: The graph is also shown in attached diagram.</em>

Keywords: amplitude, period , phase shift , vertical shift

Learn more about trigonometric functions of equations from brainly.com/question/2643311

#learnwithBrainly

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