Answer:
y=1/8(-x^2+4x+44
Step-by-step explanation:
In this question the given focus is (2,4) and a directrix of y = 8 and we have to derive the equation of the parabola.
Let (x,y) is a point on the given parabola.Then the distance between the point (x,y) to (2,4) and the distance from (x,y) to diractrix will be same.
Distance between (x,y) and (2,4)
= √(x-2)²+(y-4)²
And the distance between (x,y) and directrix y=8
= (y-8)
Now √(x-2)²+(y-4)² = (y-8)
(x-2)²+(y-4)² = (y-8)²
x²+4-4x+y²+16-8y = y²+64-16y
x²+20+y²-4x-8y = y²-16y+64
x²+20-4x-8y+16y-64=0
x²+8y-4x-44 = 0
8y = -x²+4x+44
It is a branch of mathematics that deals with the collection, organization presentation, analysis, and interpretation of data.
1. C. Discrete
2. A. interval
3. B. Quantitative data
4. B. Ratio
5. C. Quantitative
1. A random variable is called discrete if it has either a finite or a countable number of possible values.
A random variable is called continuous if its possible values contain a whole interval of numbers.
2. The third level of measurement is the interval level of measurement. The interval level of measurement not only classifies and orders the measurements but also specifies that the distances between each interval on the scale are equivalent along the scale from low interval to high interval.
3. Quantitative data consist of numerical measurements or counts.
4. Something measured on a ratio scale has the same properties that an interval scale has except, with a ratio scaling, there is an absolute zero point. Temperature measured in Kelvin is an example.
There is no value possible below 0 degrees Kelvin, it is absolute zero.
5. Qualitative data can be separated into different categories that are distinguished by some non-numeric characteristics.
To learn more about the data visit:
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Answer: The third and fourth problem are linear
Step-by-step explanation:
3rd problem follows a pattern
X 6 5 4 3
Y 21 15 10 6
6x3+3=21
5x3=15
4x2+2=10
3x2=6
Problem 4 follows a pattern as well
X value goes up 1, Y value goes up 4
Step-by-step explanation:
given,
point = ( -10, -8 ) and ( -8, -16 )
we know,
slope = y2 - y1 / x2 - x1
x1 , y1 = (-10 , -8 )
x2 , y2 = ( -8, -16 )
after inserting the values we got,
→ -16 - (-8 ) / -8 - (-10)
→ -8/2 → -4
therefore, slope of line is -4.
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