The standard equation for an ellipse is

where
(h,k) = coordinates of the center
a, b = semi-major and semi-minor axes
Refer to the figure shown below.
The center of the ellipse is at (0,0).
Therefore, h=0, k=0.
One focus is at (12, 0)
Therefore
c = 12
One directrix is at 14 1/12 = 169/12.
Because the directrix is located at x = a²/c, therefore
a²/12 = 169/12
a² = 169/144
a = 13
Because c² = a² - b², obtain
b² = a² - c²
= 169 - 144 = 25
b = 5
Answer:
The equation for the ellipse is
Answer:
Initial Deposit = $40,900
Step-by-step explanation:
Working shown in picture.
Step-by-step explanation:
x^2 + 8x + 0 = 0
Completing the square just means getting yourself a perfect square trinomial on the left side of your equation. It makes factoring easier for you. The steps are like this:
x² + 8x + 0 = 0 ... take the middle coefficient, 8, divide it by 2, and square it. Same process every time. Divide middle by two, square it. This gives you the "perfect square" of your equation. In this case, 8/2 = 4, and 4² = 16. So what you do is add 16 to BOTH sides of the equation.
x² + 8x + 16 = 16 ... factor the left side
(x + 4)(x + 4) = 16 ... notice that your two factors on the left are identical
(x + 4)² = 16 ... now we want to solve for x. Start by taking the square root of both sides
x + 4 = √16 ... √16 can give us two results: -4 and 4. So solve for both.
x + 4 = 4 x + 4 = -4 ... solve for x
x = 0, x = -8
Use any letter "x" is the usual one but since you have 2 you can use 2 different ones.
Answer:
59
Step-by-step explanation:
1 mile divided by 36 inches equals 1760 inches and if there are 30 inches in a step, we would divide 1760 by 30 and then the answer would be 58.6666666667 but if you don't need the decimal, we can take and round this to 59 and then we have our answer.