Rate of change is like slope. Change in y/ change in x
First we have to solve for the y.
x^2 -3x -4 when x = 7
7^2 -3(7)-4= 24 (7,24)
x^2-3x-4 when x=10
10^2-3(10)-4= 66 (10,66)
(66-24)/(10-7)
42/3 = 14
Answer:
373.66 cm².
Step-by-step explanation:
The following data were obtained from the question:
Pi (π) = 3.14
Radius (r) = 7 cm
Slant height (l) = 10 cm
Surface Area (SA) =?
The surface area of the cone can be obtained by using the following formula:
SA = πr² + πrl
SA = (3.14 × 7²) + (3.14 × 7 × 10)
SA = (3.14 × 49) + 219.8
SA = 153.86 + 219.8
SA = 373.66 cm²
Therefore, the surface area of the cone is 373.66 cm².
The amount of trash put in the landfill each day.
Answer:
8(cos(π) +i·sin(π))
Step-by-step explanation:
The number in parentheses has a magnitude of ...
√(1^2 +(√3)^2) = √4 = 2
Then the cube of that number will have a magnitude of 8, eliminating the 2nd and 4th choices
The angle of the number in parentheses is ...
arctan(-√3/1) = -π/3
Then 3 times that angle will be -π, also π.
The number of interest has a magnitude of 8 and an angle of π, so is written in the desired form as ...
8(cos(π) +i·sin(π)) . . . . . matches the 3rd choice
