Answer:
3rd option
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (- 1, - 25 ) , then
f(x) = (x - (- 1) )² - 25 , that is
= (x + 1)² - 25 ← expand using FOIL
= x² + 2x + 1 - 25
= x² + 2x - 24
Answer:
GJIH - WXYZ I guess I ryt
Answer:30 mi
3s = 2.5(s+2)
3s = 2.5s + 5
3s - 2.5s = 5
.5s = 5
s = 5/.5
s = 10 mph to the beach
:
:
Confirm this by finding the actual distance each way, should be the same
3*10 = 30 mi
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Radius=r=8
Φ=2π/3
π=180
2π=360
length of arc=Φ/360 x 2 x π x r
Length of arc=(2π/3 ➗ 2π) x 2 x π x 8
Length of arc=(2π/3 x 1/2π) x 2 x π x 8
Length of arc=((2πx1)/(3x2π)) x 2 x π x 8
Length of arc=2π/6π x 2 x π x 8
Length of arc=1/3 x 2 x π x 8
Length of arc=(1 x 2 x π x 8)/3
Length of arc=16π/3
Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
