Answer:
The center is at (0,0)
The vertices are at ( (
±2 sqrt(2),0)
foci are (
±sqrt(5),0)
Step-by-step explanation:
3x^2 + 8y^2 = 24
Divide each side by 24
3x^2 /24 + 8y^2/24 = 24/24
x^2/8 + y^2 /3 = 1
The general equation of an ellipse is
(x-h)^2/ a^2 + (y-k)^2 / b^2 = 1
a>b (h,k) is the center
the coordinates of the vertices are (
±a,0)
the coordinates of the foci are (
±c,0), where ^c2=a^2−b^
2
The center is at (0,0)
a = sqrt(8) = 2sqrt(2)
The vertices are at ( (
±2 sqrt(2),0)
c = 8 - 3 =5
foci are (
±sqrt(5),0)
Answer:
Step-by-step explanation:
Answer:
f(4) = 3
x = -1
Step-by-step explanation:
Line graphed shows a linear function.
Since this line passes through two points (4, 3) and (-1, 4)
Let the function is,
f(x) = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Slope 'm' = 
= 
= 
f(x) = 
Since a point (4, 3) lies on the line,
f(4) = 
3 = 
b = 3 + 0.8
b = 3.8
Therefore, f(x) = -0.2x + 3.8
For x = 4
f(4) = -0.2(4) + 3.8
= -0.8 + 3.8
= 3.0
For f(x) = 4
4 = -0.2x + 3.8
0.2x = 3.8 - 4
x = 
x = -1
ok so lets say that you have a pizza cutted out in 5 sections and want to pick up only a certain piece, let's say pepperoni. If you took a piece at random, the chances of getting that certain piece of pepperoni in 60 spins is: 12 / 60
Fast internet : 60 + 50.45m
Quick internet : 57.95m
to find the number of months they would be equal....set them equal to each other and solve for m, the number of months
60 + 50.45m = 57.95m
60 = 57.95m - 50.45m
60 = 7.50m
60/7.50 = m
8 = m.....so they will be the same at 8 months