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ArbitrLikvidat [17]
3 years ago
13

Let

Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

The right answer is: g(x)  is translated 2 units up from  f(x)

Step-by-step explanation:

Given functions are:

f(x) = 4x\\g(x) = 4x+2

In order to shift the functions upward or downward, an integer is added or subtracted from the original function's output.

We can see by comparing both functions that 2 can be added to f(x) to make function g.

As 2 is added to the function, not the input, it is a vertical shifting.

As the integer is positive, the shift is upward.

So,

The right answer is: g(x)  is translated 2 units up from  f(x)

Keywords: Functions, shifting

Learn more about functions at:

  • brainly.com/question/4168505
  • brainly.com/question/4228574

#LearnwithBrainly

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PtichkaEL [24]

Answer: 30.01 feet.

Step-by-step explanation:

You need to remember this identity:

tan\alpha=\frac{opposite}{adjacent}

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You need to calculate h_1 of the Triangle 1, where:

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Substitute values into tan\alpha=\frac{opposite}{adjacent} and solve for h_1:

tan(42\°)=\frac{h_1}{20}\\\\h_1=20*tan(42\°)\\h_1=18

Now you need to calculate h_2 of the Triangle 2, where:

\alpha= \alpha_2=31\°\\opposite=h_2\\adjacent=20

Substitute values into tan\alpha=\frac{opposite}{adjacent} and solve for h_2:

tan(31\°)=\frac{h_2}{20}\\\\h_2=20*tan(31\°)\\h_2=12.01

Then the height in feet of the tree is:

h_t=h_1+h_2\\h_t=(18+12.01)ft\\h_t=30.01ft

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3 years ago
What is the slope of y-intercept of this line?<br><br> y=-6x+2
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Answer:

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