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kondaur [170]
3 years ago
6

Find the equation of the circle​

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Step-by-step explanation:

Let's say the coordinates of Q are (h, k).

The slope of PQ is perpendicular to the tangent line.

(k − 2) / (h − 2) = -⅓

3(k − 2) = -(h − 2)

3(k − 2) = 2 − h

Solving for h:

h = 2 − 3(k − 2)

h = 2 − 3k + 6

h = 8 − 3k

(2, 2) is a point on the circle, so:

(2 − h)² + (2 − k)² = r²

Substituting:

9 (k − 2)² + (2 − k)² = r²

10 (k − 2)² = r²

The equation of the circle is:

(x − 8 + 3k)² + (y − k)² = 10 (k − 2)²

Without more information, there are an infinite number of possible solutions.  For example, if k = 1, the equation of the circle is:

(x − 5)² + (y − 1)² = 10

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At Prairieview Middle School, 100 students participate in at least one of three after-school clubs: soccer club, art club, and g
Tresset [83]

Answer:

17

Step-by-step explanation:

Number of students in soccer club, n(S) = 50

Number of students in Art club, n(A) = 53

Number of students in Gaming club, n(G)

n(S \cup A\cup G) = 100

n(S \cap A\cap G) = 9

n(S \cap A) = 20

n(A \cap G) = 35

n(G \cap S) = 29

Formula:

n ( A ∪ B ∪ C ) =  n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )

Putting the values:

100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9

100 = 112 + n(G) - 84

n(G) = 72

Number of students in gaming club only = n(G) - n(G \cap S) - n(A \cap G) + n(S \cap A\cap G)

= 72 - 35 - 29 + 9

= <em>17</em>

6 0
3 years ago
The tax on a $30 item is $1.20. Find the tax on a $130 item. How do I set this problem up?
borishaifa [10]

Answer:

$5.20

Step-by-step explanation:

Find the tax rate first:

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The tax rate is 4%.

Then the tax on a $130 item is 0.04($130) = $5.20

7 0
3 years ago
Put these in order from greatest to least.
nikklg [1K]
86%, 3/4, 0.682, 0.67, 5/8, 0.41

^ I converted the above to decimals first and then arranged them that way. 

1/20 = 0.05 x 100 = 5%
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Alyssa has 50 quarters and dimes. She has a total of $9.80. How many dimes does she have? Explain your steps.
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Answer:

t $9.50 of it is quarters and 30 cents of it is dimes so 3 dimes

Step-by-step explanation:

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2 years ago
Please answer my question below<br> Will give you a brainliest?
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Answer:

1: 3\sqrt2 - \sqrt14

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I already gave you these answers man

Step-by-step explanation:

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