Answer:

Step-by-step explanation:
A parabola has a focus of F(8.5,−4) and a directrix of x=9.5.
General form of horizontal parabola is

the distance between directrix and focus is the value of p
so p = 8.5 - 9.5 = -0.5
Focus is (h+p , k), given focus is (8.5, -4)
So k = -4 and h+p = 8.5
we know p = -0.5
h +p = 8.5
h - 0.5 = 8.5
so h= 9 and k = -4
vertex is (h,k) that is (9, -4)
Now plug in the value in the general equation
, k= -4, h= 9 , p = -0.5



subtract 18 on both sides

Divide whole equation by -2

If we take the square of x and square of y and then subtract them:
(csc t)²-(cot t)²=1 ( this eq. gets from basic identity
x²-y²=1......a 1+cot²x=csc²x)
equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)
So, option D is correct
Answer: the answer is 16
Step-by-step- explanation:
Since the two sides of a triangle must be greater than the third we can take the sum of two smallest sides and add them together to equal 92. Meaning the length of the longest side MUST BE 91 feet so the amount of the remaining rope would equal to 107-91 and that’s where we get 16
Answer: 3.5 or 3 2/4 a cup of white flower for each cup of rye flower
Step-by-step explanation:
8 3/4 divided by 2 2/4
that's it
Answer:
Below.
Step-by-step explanation:
Let x be the Annika's weekly income.
2/25 of x = 42
2x/25 = 42
x = 42(25/2)
x = 525
Her weekly income is $525.