Will give brainliest!! Linda had a great week in basketball. In two games she scored a total 41 points and made 17 shots. If she
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Answer:
Step-by-step explanation:
focus at (-5, -3), and directrix y = -6
Directrix y=-6 so its a vertical parabola
so equation is
(x-h)^2 = 4p(y-k)
(h,k) is the center
P is the distance between focus and vertex
distance between focus and directrix = 2p
distance between -3 and y=-6 is 3
2p = 3
p = 3/2 or p = 1.5
Focus is (h, k+p)
given focus is (-5, -3) so h= -5 and k+p = -3
k+p=-3, plug in 1.5 for p
k + 1.5 = -3
subtract 1.5 on both sides
k = -4.5
(x-h)^2 = 4p(y-k)
divide by 6 on both sides
then subtract 4.5 on both sides
focus at (10, -4), and directrix y = 6.
Directrix y=6 so its a vertical parabola
so equation is
(x-h)^2 = 4p(y-k)
distance between focus and directrix = 2p
distance between -4 and y=6 is -4-6=-10
2p = -10
p = -5
Focus is (h, k+p)
given focus is (10, -4) so h= 10 and k+p = -4
k+p=-4, plug in 5 for p
k - 5 = -4
add 5 on both sides
k = 1
(x-h)^2 = 4p(y-k)
divide by -20 on both sides and add 1 on both sides
We are given a relationship between the sides of a rectangle, that is, the length of one of its sides is 5 less two times its width, and we are asked to find an expression for the area. Let's remember that the area of a rectangle is equal to the product of the length of its side by its width. Let "w" be the length of the rectangle and "L" its lenght, then the area is given by the following formula:
We can use the relationship given in the problem, that is, its length being five less two times its width, that is:
Replacing in the formula for the area we get:
Now we use the distributive law: