Answer:
slope(m) = y2 -y1/ x2 - x1
m = -1 - 2/ 2 - 1
m = -3/1 ; m = -3
using the formula y -y1 = m(x - x1)
y - 2 = -3( x -1)
y -2 = -3x +3
collect like terms
3 +2 = y + 3x
y + 3x = 5
y = -3x + 5( y = mx + c)
equation of the line= y = -3x + 5
Answer:
137/(36π) ft/s
Step-by-step explanation:
The rate of change of volume will be the product of the rate of change of radius and the area of the sphere. The area of the sphere is ...
A = 4πr² = 4π(6 ft)² = 144π ft²
Then the relationship above is ...
dV/dt = A·dr/dt
548 ft³/s = (144π ft²)·dr/dt
dr/dt = (548 ft³/s)/(144π ft²) = 137/(36π) ft/s ≈ 1.2113 ft/s
Answer:
9
Step-by-step explanation:
f(3) = 2(3) + 3
= 9
Answer:
450 cats do NOT prefer felix
Step-by-step explanation:
9/10= x/500
