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
Answer:
20.25 m²
Step-by-step explanation:
the area (A) and circumference (C) of a circle are calculated using the formulae
C = 2πr and A = πr² ( where r is the radius )
calculate the radius using the formula for circumference
2πr = 9π ( divide both sides by 2π )
r = 
= 
= 4.5, hence
A = π × 4.5² = 20.25π m²
Answer:
The Answer is: x = 1.444 with repeating 4.
Step-by-step explanation:
212x - 34(2x + 5) = 38
212x - 68x - 170 = 38
212x - 68x = 38 + 170
144x = 208
x = 208/144 = 52/35 or 1.444
Proof:
212(1.444) - 34(2(1.444) + 5) = 38
306.128 - 34(7.888) = 38
306.128 - 268.192 = 37.936 or approximately 38
Hope this helps! Have an Awesome Day!! :-)
Answer:
Area = 1250 square feet
Step-by-step explanation:
The formula for area of the bottom of the pool is given by:
Area = length× breadth
= 50 × 25
= 1250 square feet
Answer:
8, 9
Step-by-step explanation:
1/2x + 2(x + 1) = 22
1/2x + 2x + 2 = 22
1/2x + 2x = 20
5/2x = 20
5x = 40
x = 8
8, 9
4 + 18 = 22
