Step-by-step explanation:
explained in the photo
For this problem, we are given the graph of an ellipse, and we need to determine its expression in the standard form.
The standard equation of an ellipse is given below:
Where (h,k) is the center of the ellipse, a is the horizontal radius and b is the vertical radius.
The center of the ellipse on our problem is (-2,2), the vertical radius is 2 and the horizontal radius is 3. We have:
In order to calculate the Foci, we need to first find the eccentricity of the ellipse, which is given by the following formula:
The coordinates of the foci are given by:
The coordinates for the foci are: (-2-sqrt(5), 2) and (-2+sqrt(5), 2).
The answer is D
Hope this helps!
Answer:
The answer is 5 hours.
Step-by-step explanation:
First you have to figure out how much money he already had by working at the coffee shop, so take the 15 hours and multiply it by 11$ he makes per hour and you get 165$, now you have to subtract the 200$ by 165$ to figure out how much he needs so 200 - 165 = 35 that is needed, then you keep going up an hour until your total comes above 35 so if he does 1 hour its 8, 2 hours is 16, 3 hours is 24, 4 hours is 32, and 5 hours is 40 which is finally enough to reach his goal.