1) Answer: 
<u>Explanation:</u>
The equation of an ellipse is: 
; where (h, k) is the center, "a" is the x-radius, and "b" is the y-radius.
Center Radius
x-axis: (10 + -10)/2 = 0 10 - 0 = 10
y-axis: (2 + -2)/2 = 0 2 - 0 = 2
Now, input the values into the equation:
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2) Answer: 
<u>Explanation:</u>
Vertices are: (0, 1) and (0, -5) ------> x-values are the same, y = 1, -5
Covertices are: (-1, -2) and (1, -2) ----> y-values are the same, x = -1, 1
Center Radius
x-axis: (-1 + 1)/2 = 0 1 - 0 = 1
y-axis: (1 + -5)/2 = -2 1 - (-2) = 3
Now, input the values into the equation:
H=10 because u subtract 4 from30 and then divide by 3
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Answer:
9 weeks
Step-by-step explanation:
Assuming he takes equal number of quizzes weekly then having taken 24 quizzes within 4 weeks means for every week Carson took 24/4=6 quizzes per week.
With a target of 54 quizzes this quater and while maintaining 6 quizzes per week then Carson will take 54/6= 9 weeks to meet thw target.
Therefore, Carson needs 9 weeks this quater
$252/$28=9 lawns. $252 is the total money they earned, so divide it by the amount of money they charge per lawn.
Answer:
She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.
Step-by-step explanation:
Cost now+increase$=new cost
(Part=percent*whole)
Increase=percent increase*cost now
i=12%*$96
i=0.12*96=$11.52
$96+11.52=107.52
Service two⬇️
8.72*12=$105
