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Juliette [100K]
3 years ago
10

A circle has center (5, –4) and radius 8. Which gives the equation for the circle

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0

Answer:

(x-5)^2 + (y+4)^2 =64

Step-by-step explanation:

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THE VALUE C IS NUMBER 4 WHICH IS 84 DEGREES WHICH IS AND OBTUSE ANGLE 
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Factor complete x^2 +2x-15
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( x - 3 ) ( x + 15 )

Step-by-step explanation:

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PLEASE HELP!!
Lapatulllka [165]

Step-by-step explanation:

Convert the equation to the slope-intercept form (y = mx + b):

-5x-3y=-7              <em>add 5x to both sides</em>

-3y=5x-7              <em>divide both sides by (-3)</em>

y=-\dfrac{5}{3}x+\dfrac{7}{3}

Choose any three values of x ​​and calculate the values od y:

for x = -1:

y=-\dfrac{5}{3}(-1)+\dfrac{7}{3}=\dfrac{5}{3}+\dfrac{7}{3}=\dfrac{12}{3}=4\to(-1,\ 4)

for x = 2:

y=-\dfrac{5}{3}(2)+\dfrac{7}{3}=-\dfrac{10}{3}+\dfrac{7}{3}=-\dfrac{3}{3}=-1\to(2,\ -1)

for x = 5

y=-\dfrac{5}{3}(5)+\dfrac{7}{3}=-\dfrac{25}{3}+\dfrac{7}{3}=-\dfrac{18}{3}=-6\to(5,\ -6)

7 0
2 years ago
From a bowl containing five red, three white, and seven blue chips, select four at random and without replacement. Compute the c
snow_lady [41]

Answer:

The probability is \frac{5}{9}

Step-by-step explanation:

Let A be the event of one red, zero white, and three blue chips,

And, B is the event of at least three blue chips,

Since, A ∩ B = A (because If A happens that it is obvious that B will happen )

Thus, the  conditional probability of A if B is given,

P(\frac{A}{B})=\frac{P(A\cap B)}{P(B)}=\frac{P(A)}{P(B)}

Now, red chips = 5,

White chips = 3,

Blue chips = 7,

Total chips = 5 + 3 + 7 = 15

Since, the probability of one red, zero white, and three blue chips, when four chips are chosen,

P(A)=\frac{^5C_1\times ^3C_0\times ^7C_3}{^{15}C_4}

=\frac{5\times 35}{1365}

=\frac{175}{1365}

=\frac{5}{39}

While, the probability that of at least three blue chips,

P(B)=\frac{^8C_1\times ^7C_3+^8C_0\times ^7C_4}{^{15}C_4}

=\frac{8\times 35+35}{1365}

=\frac{315}{1365}

=\frac{3}{13}

Hence, the required conditional probability would be,

P(\frac{A}{B})=\frac{5/39}{3/13}

=\frac{65}{117}

=\frac{5}{9}

4 0
3 years ago
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