We know, equation of ellipse is given by :

Here,
(h,k) is centre of the ellipse = (0,0).
a = major axis = 8.
b = minor axis = 4.
Putting all given value in above equation, we get :

Hence, this is the required solution.
Answer: 11am
Step-by-step explanation:
To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:
20 = 20, 40, 60, 80, 100
30 = 30, 60, 90, 120, 150.
Here, the lowest common multiple is 60.
Therefore, we add 60 minutes to 10am. This will be:
= 10am + 1 hour
= 11 am
The next time that both buses leave at the same time would be 11am
Answer:
(6,3)
Step-by-step explanation:
y=2/3 x - 1
y=-1/2 x + 6
Since both equations are equal to y, we can set them equal
2/3 x - 1 =-1/2 x + 6
We have fractions, so I will multiply by 6 to clear the fractions
6(2/3 x - 1) =(-1/2 x + 6)6
Distribute
4x -6 = -3x +36
Add 3x to each side
4x+3x -6 = -3x+3x +36
7x -6 = 36
Add 6 to each side
7x-6+6 = 36+6
7x = 42
Divide each side by 7
7x/7 = 42/7
x =6
Now we need to find y
y =2/3x -1
y = 2/3(6) -1
y = 4-1
y=3
(6,3)
Yo sup??
The given points are (1,1),(1,3) and (9,2)
equation of circle is
8x²+8y²+ax+by=0
let us plug in (1,1) in the equation we get
8+8+a+b=0
a+b=-16
let us now plug in (1,3) in the equation
8+8*3²+a+3b=0
a+3b=-80
let us. now solve the two equation in terms of a and b
we get
2b=--64
b=-32
and
a=-16+32
=16
therefore the equation is
8x²+8y²+16x-32y=0
Hope this helps