Consider the equation 3p – 7 + p = 13. What is the resulting equation after the first step in the solution?
2 answers:
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First, let 
be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:
Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,
, is: 
. Since our directrix is y=-8, the distance to our point will be:
Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
Finally, we can expand and solve for
:
We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,
Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
Finally, we can expand and solve for
We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Answer:
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means and we don't have enough evidence to conclude that the two population variances and deviations are different.
Step-by-step explanation:
System of hypothesis
We want to test if the variation for a group1 is equal to another one 2, so the system of hypothesis are:
H0:
H1:
Calculate the statistic
The statistic for this system of hypothesis is given by:
If the statistic is equal to 1 then that means and we don't have enough evidence to conclude that the two population variances and deviations are different.