The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>
The equation of a circle of center
and radius r is given by:

The circle has center at (2,-4), hence
.
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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C, there are 3 options the first time, and after that, there are 3 options for each of those. So it would be C.
Answer:
C is the right answer
Step-by-step explanation:
In this case we have the events
<em>A: The subject is telling the truth.
</em>
<em>B: The the polygraph indicates that the subject is lying
</em>
Recall that P(B|A) is defined as the probability that the event B occurs given that the event has already occurred, and is equals to P(B∩A)/P(A).
So, with the events we have defined, <em>P(B|A) indicates the probability that the polygraph indicates lying given that the subject is actually telling the truth.
</em>
The most suitable answer is thus, C
Answer:
(b)The original price of the shoes is $60.
Explanation:
Part A
In this situation:
• 15% is the PERCENT
,
• $9 is the PART
,
• The original price is the WHOLE.
Part B
If 15% is taken off, the customer will save $9.
This means that 15% of the original price = $9.
Let the original price=p

The original price of the shoes is $60.
Answer:
The answer is A
Step-by-step explanation:
I draw a graph