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dimaraw [331]
3 years ago
6

How to find the intersection of a circle and parabola?

Mathematics
1 answer:
maria [59]3 years ago
8 0
Use the substitution method to solve for the system of equations:

Circle: (x-h)² + (y-k)² = r²
Parabola: y = a(x-h)² + k         or        x = a(y-k)² + h

(I am using the "y=" parabola for this example)

Substitute a(x-h)² + k for y into the circle equation and solve for x:
(x-h)² + [(a(x-h)² + k)² - k]² = r²

Then, substitute that x value into the parabola equation to solve for y.

Hope this makes sense!


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Lelu [443]

Answer:

B. $8

Step-by-step explanation:

Given:

Total payment, T = $160

Hourly rates = $t/hour

= total payment/total time worked

The question said, "worked 12 more hours than the amount she is paid per hour".

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Therefore, Hourly rates of payment, t = 160/(12 + t)

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3 years ago
The stock market gained 45 points on Tuesday and lost 32 points on Wednesday. It had closed on Monday at 2760 points. Where did
Svetllana [295]

Answer:

The market closed with a rating of 2773 points on Wednesday.

Step-by-step explanation:

Lets start with what we know:

Monday at close it had a rating of 2760 points.

Tuesday it gained 45 points.

Wednesday it had lost 32 points.

Once written out it becomes less intimidating to answer.

Monday + Tuesday + Wednesday = Answer

2760 + 45 - 32

= 2805 - 32

= 2773

7 0
2 years ago
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PLS HELP! 20 pts! Antonio said that triangle AFN ≅ triangle TBM by SAS Congruence Theorem. What mistake did he make?
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Darya [45]

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42

Step-by-step explanation:

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How many degrees has ABC been rotated counterclockwise about the<br> origin?
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