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.
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Answer:
15in
Step-by-step explanation:
Area=width x length
Width=375/25 = 15in
To work out linear equation word problems simply read it and what they will ask you, you have to answer by interpreting the unit rate m value, y intercept, and finally the equation: Y=MX+B.
Answer:
20 hours
Step-by-step explanation:
A day is equal to 24 hours
To get 5/6 of a day multiply the fraction by 24
● 24 ×(5/6) = 20
So the answer is 20 hours
Answer:
f(x) = 8x + 2
Step-by-step explanation:
An easy way to test what the function is, is to fill in x wiht one of the imputs, lets try two of the options, 0 and then -4
If we fill in the x as 0 we have
8(0) +2 = 2 (Put it into the equation equal to the output) Now simplify
0+2=2 Anything times 0 is 0, now wehave
2 = 2 This proves that the equation is correct
If we tried it with -4 we would also see it is correct
8(-4) +2 = -30 First multiply the -4 and 8 because of PEMDAS
-32 + 2 = -30 Now simplify
-30 = -30 This proves that the equation works, if you had tried one of the other equations they wouldn't have been equal if you had only used the f(x) = 8x with the 0 it wouldn't have worked
8(0) = 2
0 ≠ 2