ANSWER
Phase shift: 2 units right.
EXPLANATION
The given sine function is
In mathematics, a horizontal shift may also be referred to as the phase shift.
This function is shifted to the right 2 units.
78
/ \
39 2
/ \
3 13
you cannot simplify the square root of 78.
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
You could first solve for y, assuming x is 0, and y = 6. Then solve for x, and that means y = 4.