The First Equation:
y-5=6/5(x-3)
y-5= (6/5)x -3.6
y= (6/5)x+1.4
The Second Equation:
y+1=6/5(x+2)
y+1=(6/5)x+2.4
y = (6/5)x +1.4
The answer above is mostly correct, HOWEVER The ellipse is a vertical ellipse and therefore uses the equation (x^2/b^2)+(y^2/a^2)=1
a=10/2=5
b=8/2=4
put it in the equation and it is (x^2/4^2)+(y^2/5^2)=1
Simplify and the answer is (x^2/16)+(y^2/25)=1
Answer:
1/6k(k + 1)(2k + 1)
Step-by-step explanation:
(1 / 6) (k + 1) ( [k + 1] + 1) (2 [k + 1] + 1) =
(1 /6) ( k + 1) (k + 2) (2k + 3) =
(1/6) ( k^2 + 3k + 2)(2k + 3) =
(1 / 6) (2k^3 + 6k^2 + 4k + 3k^2 + 9k + 6) =
(1 /6) (2k^3 + 9k^2 + 13k + 6)
12+4x^2+3x^3-2x is the answer.