If the co-vertices are (0, 3) and (0, -3) where x is 0 and y has a value, then y is the minor axis. That means that the x axis is the major axis. Because of what the co-vertices are, the center of the ellipse is at the origin. The formula for an ellipse that has a horizontal major axis is
![\frac{(x-h)^2}{a^2}+ \frac{(y-k)^2}{b^2}=1](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28x-h%29%5E2%7D%7Ba%5E2%7D%2B%20%5Cfrac%7B%28y-k%29%5E2%7D%7Bb%5E2%7D%3D1%20%20)
. The a value will always be larger than the b value, therefore, the a value goes under the coordinate that is the major axis. Here, its the x-axis. a is the distance that the outer edge of the ellipse is from the center. It's 8 units away from the center along the x axis and 3 units along the y axis from the center. So a = 8 and a^2 = 64; b = 3 and b^2 = 9. Our formula then is
Answer:
(-1, 19) and (3, -81)
Step-by-step explanation:
f(x) = 2x³ − 6x² − 27x
f'(x) = 6x² − 12x − 27
-9 = 6x² − 12x − 27
0 = 6x² − 12x − 18
0 = x² − 2x − 3
0 = (x + 1) (x − 3)
x = -1 or 3
f(-1) = 19
f(3) = -81
The points are (-1, 19) and (3, -81).
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:
![(ab)+18=(ba)](https://tex.z-dn.net/?f=%28ab%29%2B18%3D%28ba%29)
![10a+b+18=10b+a](https://tex.z-dn.net/?f=10a%2Bb%2B18%3D10b%2Ba)
Subtract
on both sides:
![b+18=10b+a-10a](https://tex.z-dn.net/?f=b%2B18%3D10b%2Ba-10a)
Simplify:
![b+18=10b-9a](https://tex.z-dn.net/?f=b%2B18%3D10b-9a)
Subtract
on both sides:
![18=10b-b-9a](https://tex.z-dn.net/?f=18%3D10b-b-9a)
![18=9b-9a](https://tex.z-dn.net/?f=18%3D9b-9a)
Divide both sides by 9:
![2=b-a](https://tex.z-dn.net/?f=2%3Db-a)
Rearrange by commutative property:
![2=-a+b](https://tex.z-dn.net/?f=2%3D-a%2Bb)
So the system of equations we want to solve is:
![a+b=10](https://tex.z-dn.net/?f=a%2Bb%3D10)
![-a+b=2](https://tex.z-dn.net/?f=-a%2Bb%3D2)
-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:
![0+2b=12](https://tex.z-dn.net/?f=0%2B2b%3D12)
![2b=12](https://tex.z-dn.net/?f=2b%3D12)
Divide both sides by 2:
![b=\frac{12}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B12%7D%7B2%7D)
Simplify:
![b=6](https://tex.z-dn.net/?f=b%3D6)
If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Answer:
800
Step-by-step explanation:
9.28 is answer of cube 800
Answer: Yes.
Step-by-step explanation: Think of it as money. Whats bigger? $0.40 or $0.25? 0.4 is bigger.