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Answer:
60 degrees
Step-by-step explanation:
11: 180 = x + x + x
180 = 3x
x = 60 degrees
4x - 5y = 3
x = 3 - 1/2y
4(3 - 1/2y) - 5y = 3
12 - 2y - 5y = 3
12 - 7y = 3
7y = 12 - 3
7y = 9
y = 9/7
x = 3 - 1/2y
x = 3 - 1/2*9/7
x = 3 - 9/14
x = 42/14 - 9/14
x = 33/14
The correct answer is C. 33/14.
<u>Given</u>:
The parent function is
We need to determine the equation for the new function g(x)
<u>Vertical shift:</u>
From the graph, it is obvious that the parent function is shifted 6 units upwards.
The general rule to shift the graph c units upwards is
Thus, using the rule, the vertical shift of the new function g(x) is given by
<u>Horizontal shift:</u>
From the graph, it is obvious that the parent function is shifted 2 units to the right.
The general rule to shift the graph c units to the right is
Thus, the horizontal shift of the new function g(x) is given by
<u>Equation for the new function g(x):</u>
Since, the new function is shifted 2 units to the right and 6 units upward is given by the equation,
Hence, the equation of the new function is
Answer:
x = 3
Step-by-step explanation:
x = (sq rt 3)( sq rt 3) because the leg opposite the 30 degree angle (sq rt 3) times the set value of sq rt 3 = the leg adjacent to the 30 degree angle.
x = (sq rt 3)(sq rt 3)
x = 3