Let P(x,y) be a point on the parabola. The definition of a parabola is the squared distance from P to focus F(2,2) equals the squared distance to the directrix x=8.
squared distance from P(x,y) to focus F(2,2)
(x - 2)² + (y - 2)²
squared distance from P(x,y) to the directrix x=8.
(x-8)²
Those are equal in a parabola,
(x - 2)² + (y - 2)² = (x-8)²
x² - 4x + 4 + y² - 4y + 4 = x² - 16x + 64
y² - 4y - 46 = -12x
That's a sideways parabola,
x = -(y² - 4y - 46)/12
The answer 3.8 to the nearest hundreds is 3,800
Answer:
Option D is the correct answer
Step-by-step explanation:
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Answer:
∠ XMZ = 74°
Step-by-step explanation:
Since the corresponding arcs on the 2 circles are congruent , then the central angles are congruent, that is
6x - 88 = 3x - 7 ( subtract 3x from both sides )
3x - 88 = - 7 ( add 88 to both sides )
3x = 81 ( divide both sides by 3 )
x = 27
Then
∠ XMZ = 3x - 7 = 3(27) - 7 = 81 - 7 = 74°
