Classify the following triangle. Check all that apply

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Ответ:

trippsmom0671

24.08.2021

Mathematics

Correct answer is:

a. (-9,17)

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of y =f(x) .

Putting the values from the given point:

6 =f(6)

That means we are given that f(6) =6 ..... (1)

And we have to find the corresponding coordinates of this point on the graph of $y = 4f[\frac{1}3x +9] -7$

From equation (1), we know the value of f(6) .

so, let us convert $f[\frac{1}3x +9]$ to a form such that it becomes equal to f(6)

$\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9$

So, let us put x = -9 in the given function:

$4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7$

Now, using equation (1), putting f(6)=6

$\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17$

Therefore, the point the corresponding point is:

a. (-9,17)

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