(x-h)^2=4p(y-k)
we know it is this one because the directix is y=something and not x=something
(h,k) is the vertex
p is the distance from the vertex to the focus
it is 1/2 the distance from the vertex to the directix
if p is positive, the focus is above the vertex
if p is negative, the focus is below the vertex
we have
focus is (6,2) and directix is y=1
distance from (6,2) to y=1 is the distance from 2 to 1 which is 1
1/2=p
since 1<2, we see that the focus is above the vertex (when the focus is greater than the directix, then the graph opens to the right or up)
p=1/2
1/2 below (6,2) is (6,1.5)
vertex is (6,1.5)
p=1/2
(x-6)^2=4(0.5)(y-1.5)
(x-6)^2=2(y-1.5)
(x-6)^2=2y-3
2y=(x-6)^2+3
divide both sides by 2
y=1/2 times (x-6)^2+3/2
f(x)=1/2 times (x-6)^2+3/2
2nd option is answer
A + s = 504
s = a + 54
a + (a + 54) = 504
2a + 54 = 504
2a = 504 - 54
2a = 450
a = 450/2
a = 225 <=== adults
a + s = 504
225 + s = 504
s = 504 - 225
s = 279 <=== students
Answer:
Rise/run or y=mx+b
Step-by-step explanation:
Answer:
It may be wrong but complementary angles are 90 degrees so the answer is 44. It may be wrong.
Step-by-step explanation:
i think the x intercept is 2 in problem a