The equation of the directrix of the parabola given is x = 6, Option D is the correct answer.
<h3>What is Directrix of a Parabola ?</h3>
A parabola is a U shaped curve whose all point are at same distnace from a point called as focus and a line called as Directrix .
The equation of the parabola given is
y² = -24x
When the standard equation of parabola is
(y - k)² = 4p (x - h),
where the focus is (h + p, k) and the directrix is x = h - p.
here h = 0
p = -24/4 = -6
x = 0 - (-6)
x = 6
Therefore Option D is the correct answer.
To know more about Directrix
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X²+bx=c
x=[-b+√(b²+4c)]/2
2x(x+5)=4
2x²+10x=4
x²+5x=2
x=[-5+√(5²+4*4)]/2
if b=-1/2 and c=-9/2
x= {1/2+√[(1/2)²+4*(-9/2)]}/2
The factor of 100x to the power of 2 power -9 is 2.
Answer:
<u>13 - 2x </u>
Step-by-step explanation:
(x +2)² + (x - 3)² - 2x²
<em>Expand.</em>
(x + 2)(x + 2) + (x - 3)(x - 3) - 2x²
x² + 2x + 2x + 4 + x² - 3x - 3x + 9 - 2x²
<em>Bring all the like terms together then simply.</em>
x² + x² - 2x² + 2x + 2x - 3x - 3x + 4 + 9
2x² - 2x² + 4x - 6x + 13
= <u>13 - 2x</u> (or <u>-2x + 13</u> )
Answer:
Step-by-step explanation:
1/3 of an hour is 1/3 × 60 minutes = 20 minutes.
no of pages for 1 hour = 3 × 18/11
54
---- = 4 9
------
11 11
hope this help :P
