Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.f(x) = −(x + 2)2 − three fourths
f(x) = (x + 2)2 + three fourths
f(x) = −(x − 2)2 + three fourths
f(x) = −(x − 2)2 − three fourths
Answers
The gist of it is that we have a random point on the parabola (x,y), and the point (x,y) will be equidistant from both the focus and the directrix. If we use the distance formula, you get something like this:
The square root of y-(-1/2) coming from the directrix, and the righthand side of the equal sign being derived from the focus.
All you need to do is simplify now!
Hope I helped!
Answer:
f(x) = −(x − 2)2 − three fourths
Step-by-step explanation:
Related Questions
What does 50 tens equal
Convert 21.7 kilometers to centimeters.
Why is 296 divided by 6 equals 48 remainder 8
A 12-punce box of cereal cost $2.29, What is the unit price to the nearest tenth of a cent/
Answers
Answer:
x-intercept of the given line is, (-9, 0)
Step-by-step explanation:
x-intercept says that a line crosses the x-axis
Substitute y = 0 and solve for x.
As per the statement:
An equation of line is given as:
To find the x-intercept:
Substitute y = 0 and solve for x:
⇒-2x = 18
Divide both sides by -2 we get;
x = -9
Therefore, the x-intercept of the line is, (-9, 0)
Answers
Hi there! :)
C. has both jump and infinite discontinuity.
Evaluate both piecewise functions at x = 1;
1 / (x + 1) = 1 / ((1) + 1) = 1/2
2x - 1 = 2(1) - 1 = 1
As the piecewise functions contain different y-values when evaluated at
x = 1, there is a jump discontinuity at x = 1.
However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.
Therefore, the correct choice is:
C. has both jump and infinite discontinuity.
Answers
let us do this problem by making the denominator the same.
So, now. the one with the largest numerator is the largest fraction
In this case,
So, the largest fraction is
Answers
Answer: S = 3.5
Step-by-step explanation:
We know that congruent means that the sides are equal. Knowing this, we can make an equation to solve for.
We can 2s+11=8s-10.
We can then subtract 2s from both sides, getting 11=6s-10.
We can then add 10 to both sides, getting 21=6s.
Dividing both sides by 6, we get 3.5=S.
Answers
The correct answer is:
$1000
Explanation:
Your gross pay goes up $500; this is the integer +500.
Since employee benefits increase $200, this is adding 200 to our number:
500+200 = 700.
Job expenses decrease $300. This means the amount that you pay for expenses goes down $300; this is an addition to your income:
500+200+300= 700 + 300 = 1000
Answer:
The total employment compensation is "increased by $1000"
Step-by-step explanation:
We need to find the total employment compensation.
Let "x" be the gross pay that an employee gets before the benefit.
The gross pay increase by $500
So, the employee get x + $500
The employee benefits increase by $200, this is adding 200
x + 500+200 = x + 700.
The Job expenses decrease by $300.
Total = x + 700 + 300
Total = x + $1000
Therefore, the total employment compensation is increased by $1000.
A.56
B.6720
C.960
D.40
Answers
Using, binomial coefficient, the value of 8C5 is 56, which corresponds to option A.
To calculate the value of 8C5 (8 choose 5), we use the binomial coefficient formula:
nCr = n! / (r! * (n - r)!)
where n is the total number of items, r is the number of items chosen.
In this case, n = 8 and r = 5.
8C5 = 8! / (5! * (8 - 5)!)
Now, let's calculate the factorials:
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320
5! = 5 * 4 * 3 * 2 * 1 = 120
3! = 3 * 2 * 1 = 6
Now, substitute these values back into the formula:
8C5 = 40,320 / (120 * 6)
8C5 = 40,320 / 720
8C5 = 56
Therefore, the value of 8C5 is 56, which corresponds to option A.
To know more about binomial coefficient:
#SPJ6
Answer: The answer would be 56!
Step-by-step explanation:
6x7x8 / 3! =56