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Arisa [49]
3 years ago
6

Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

(x + 6)² + (y - 9/2)² = 100

3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

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Which of these sequences is a geometric sequence?
podryga [215]
3, 9, 27, 81, 343, 729, … is a geometric sequence because each term is obtained by multiplying 3 to the preceding term.
7 0
2 years ago
Read 2 more answers
Mickey keeps picking playing cards out of a standard deck of 52 cards, hoping that she will
andrew-mc [135]

Answer:

03%

Step-by-step explanation:

In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(\frac{39}{52})⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,

P(B)=\frac{13}{52}=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore probability that Mickey will draw her first diamond on the 8th

attempt is 3%

7 0
3 years ago
4(-5.4) SHOW WORK PLS
Nana76 [90]

Answer:

-21.6

Step-by-step explanation:

-5.4    

x  4               4x 4=16 so you carry the one to 5x4= 20 + 1 that was carried

--------           keep it negative

-21.6

6 0
2 years ago
Solve without a calculator log_4(20)-log_4(45)+log_4(144)
AfilCa [17]
Log₄20-log₄ 45+log₄144=
log₄(20/45)+log₄144=                        (log_a b- log_a c=log_a  (b/c) )
log₄[(20*144)/45]=                             (log_a b +log_a c=log_a (b*c) )
log₄(2880/45)=
log₄(64)=n     ⇔      4^n=64                (log_a x=n   ⇔ a^n=x)

4^n=4³      ⇒n=3                                 (64=4*4*4=4³)

Answer: log₄20-log₄ 45+log₄144=3

5 0
2 years ago
Which is a way ro write nine eighths?
Marina86 [1]

Answer:

1 1/8

Step-by-step explanation:

There is one whole with one left over

4 0
2 years ago
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