The graph of the parent function, f(x) = x3, is translated such that the function g(x) = (x – 4)3 – 1 represents the new graph.
1 answer:
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Answer:
n=37
Step-by-step explanation:
Two lines intersect and create vertical angles.
The vertical angles are
We know that vertical angles (also called vertically opposite angles) are equal. Therefore:
Given Equation:
Let us remove parenthesis first.
In order to remove parenthesis, we need to distribute -4 over parenthesis (2/3 h -3).
Distributing -4 over (2/3 h -3), we get,
-4*2/3 h - 4*-3 = -8/3 h + 12.
Substituting this value in original equation, we get
Now, in order to make the equation easy to solve, we always remove fractions. In order to remove fraction, we need to find the lowest common denominator of all terms(lcd).
The fraction terms has 3 in denominators, so we could multiply each and every term by 3 to remove 3's from denominators.
Multiplying each equation by 3, we get,
On simplfying this step, we get
Combining like terms on left side, we get
-7h +36 = 2h -18.
Subtracting 36 from both sides, we get
-7h +36 -36= 2h -18-36.
-7h=2h-54
Subtracting 2h from both sides, we get
-7h-2h=2h-54-2h
-9h = -54
Dividing both sides by -9.
-9h/-9 = -54/-9
h = 6.
Therefore, final answer is h=6.