Which of the following statements best describes the solution to the problem below?
1 answer:
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Because the focus is (-2,-2) and the directrix is y = -4, the vertex is (-2,-3).
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Consider an arbitrary point (x,y) on the parabola.
The square of the distance between the focus and P is
(y+2)² + (x+2)²
The square of the distance from the point to the directrix is
(y+4)²
Therefore
(y+4)² = (y+2)² + (x+2)²
y² + 8y + 16 = y² + 4y + 4 + (x+2)²
4y = (x+2)² - 12
y = (1/4)(x+2)² - 3
Answer:
Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures and
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:
Then
17. Two parallel lines are cut by transversal. Angles with measures and
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:
Then
18. Two parallel lines are cut by transversal. Angles with measures and
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:
Then
19. The diagram shows two complementary angles with measures and
. The measures of complementary angles add up to
then
Hence,
Check:
20. Angles and
are vertical angles. By vertical angles theorem, vertical angles are congruent, so
Hence,
21. and
are supplementary. The measures of supplementary angles add up to
so
Therefore,