A parabola can be represented by the equation y2 = 12x. which equation represents the directrix?
1 answer:
The equation of the directrix is x = -3
<h3>What is Parabola?</h3>A mirror-symmetrical, roughly U-shaped plane curve known as a parabola. It corresponds to a number of mathematical models that appear to be superficially dissimilar but yet all define the exact same curves. A point and a line are one way to describe a parabola.
<h3>According to the given information: </h3>Given the general equation of a parabola expressed as
(y-y0)² = 4a(x-x0) ... 1
Equation of the directrix will be expressed as x = x0 - a
From the equation given;
y² = 12x ... 2
Comparing 1 and 2;
x - x0 = x
-x0 = x - x
-x0 = 0
x0 = 0
Similarly;
y-y0 = y
-y0 = y - y
-y0 = 0
y0 = 0
Also;
4a = 12
a = 12/4
a = 3
Substituting x0 =0, y0 = 0 and a = 3 into the equation of the directrix above, we will have;
x = x0 - a
x = 0 - 3
x = -3
Hence,
the equation of the directrix is x = -3
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Answer:
To identify which integer does not belong with the rest, we must first evaluate each.
Step-by-step explanation:
- [25.6...] is already evaluated. Therefore, let's move on to Integer <em>b: </em>
, where is <em>x </em>is 48.
- 48 = 2 * 24--> 2 * 12--> 2 * 6--> 2 * 3
- √48 =
* 2 * 2 * 2 * 3
- We have 1 perfect sqaure:
- When we multiply, we receive 2.
- Therefore, 2 *
- When -51/2 is relatively prime, we receive -25 1/2
- Finally, the last integer is already simplified.
Based on these results, you may determine the number that does not belong with the other three, whether than is through means of irrationability, value, absolte value, or whatever other means you decide.