In the general case in Cartesian coordinates, you would use the definition of a parabola as the locus of points equidistant from the focus and directrix. The equation would equate the square of the distance from a general point (x, y) to the focus with the square of the distance from that point to the directrix line.
Suppose the focus is located at (h, k) and the equation of the directrix is ax+by+c=0. The expression for the square of the distance from (x, y) to the point (h, k) is ...
(d₁)² = (x-h)²+(y-k)²
The expression for the square of the distance from (x, y) to the directrix line is
(d₂)² = (ax+by+c)²/(a²+b²)
Equating these expressions gives the equation of the parabola.
(x-h)²+(y-k)² = (ax+by+c)²/(a²+b²)
When the directrix is parallel with one of the axes, one of the coefficents "a" or "b" is zero and the equation becomes much simpler. Often, it would be easier to make use of the formula (for a directrix parallel to the x-axis):
y = 1/(4p)*(x -h)² +k
where the (h, k) here is the vertex, the point halfway between the focus and directrix, and "p" is the (signed) distance from the focus to the vertex. (p is positive when the focus is above or to the right of the vertex.)
Combine like terms such as 3x and 5x and combine 4 and 3
the answer would be 8x+7
mark me brainliest if the answer is correct, thank you in advance :)
Answer:
Confidence Interval : 2.72% < p < 6.48%
Step-by-step explanation:
Number of randomly selected deaths = 669
Number of deaths caused by accident = 31
z-score for 98% confidence level = 2.326
Confidence Interval : 0.046 - 0.0188 < p < 0.046 + 0.0188
: 0.0272 < p < 0.0648
: 2.72% < p < 6.48%
Hence, Confidence Interval : 2.72% < p < 6.48%
Draw a simple branch diagram to work the probabilities out.
You find that the chance of a poisonous mushroom is 0.08 and the chance of a red poisonous is 0.04.
So the probability that a poisonous mushroom is red is 1/2 or 0.5.
Answer:
Step-by-step explanation:
We are given the following in the question:
Let l be Lyle's height, h be Harry's height and v be Vince's height.
Thus, we can write:
Lyle's Height =
Harry's height =
Putting the value in the equation:
Thus, Vince's height is 3.5 feet.
