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
Answer:
yes
Step-by-step explanation:
because it is a fraction and is positivee
C + D go together
B + F go together
A + F go together
Hope this helps c:
Answer:
(4) 0
Step-by-step explanation:
<u>Given:</u>
- cos²27°×cos²34°×...×cos²167 = ?
<u>Looking at the angles measures, they form series of: </u>
This is AP with the first term of 27 and common difference of 7
<u>We can see one of the terms of this AP is 90</u>
Since cos 90° = 0 ⇒ cos²90° = 0 and therefore given series equals to zero as one of the terms of multiplication is zero.
<u>So correct answer choice is</u> Option 4) 0
Answer:
B and E
Step-by-step explanation:
A: 3 + 6 < 4 + 3 and 6 > 4
9 < 7 is false so A is not the answer.
B: 1 + 5 < 4 + 3 and 5 > 4
6 < 7 and 5 > 4 are true so B is an answer.
C: 2 + (-1) < 4 + 3 and -1 > 4
-1 > 4 is false so C is not an answer.
D: 1 + 1 < 4 + 3 and 1 > 4
1 > 4 is false so D is not an answer.
E: 2 + 8 > 4 + 3 and 8 > 4
10 > 7 and 8 > 4 are both true so E is an answer.
F: -1 + 8 > 4 + 3 and 8 > 4
7 > 7 is false so F is not an answer.