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forsale [732]
3 years ago
9

The circle below is centered at the point (1, 2) and has a radius of length 3.

Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

Step-by-step explanation:

The general circle equation is

(x - h) {}^{2}  + (y - k) {}^{2}  = r {}^{2}

where r is the radius.

Since we know all the information just plug it in the equation above.

(x - 1) { }^{2}  + (y - 2) {}^{2}  =  {3}^{2}

Simplify 3 squared.

(x - 1) {}^{2}  + (y - 2) {}^{2}  = 9

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As said before, 160 is the correct answer
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1/6(x+6)=11 whats the x??
Katarina [22]

Answer:

60

Step-by-step explanation:

1/6(x+6)=11

1/6x+1=11

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7 0
3 years ago
A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe
Ann [662]

Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.



Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.  

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game     loss in 2nd game       loss in 3rd game

(ii) win in 1st game     win in 2nd game        loss in 3rd game

(iii) win in 1st game     loss in 2nd game       win in 3rd game

(iv) win in 1st game     win in 2nd game        win in 3rd game

(v) loss in 1st game     loss in 2nd game       win in 3rd game

(vi) loss in 1st game     win in 2nd game        loss in 3rd game

(vii) loss in 1st game     win in 2nd game       win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.


5 0
3 years ago
What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
Gekata [30.6K]

Answer:

B. 13

Explanation:

\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )

Logarithm rules:

\sf (i)  \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \  log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)

Breakdown of the expression:

\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)

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7 0
2 years ago
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3. Since 100 cases ÷ 2 minutes = 50 cases per minute, that means that is unit rate, which can be expressed by y = 50x or f(x) = 50x.

7 0
3 years ago
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