Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
Answer:
Step-by-step explanation:
x² + 6x = 8
Coefficient of the x term: 6
Divide it in half: 3
Square it: 3²
Add 3² to both sides of the equation to complete the square and keep the equation balanced:
x² + 6x + 3² = 8 + 3²
(x+3)² = 17
1st card = 13/52
2nd card = 12/51
3rd card = 11/50
4th card = 10/49
5th card = 9/48
13/52 * 12/51 * 11/50 * 10/49 * 9/48 = 33/66640
there are 4 different suits so 4 * 33/66640 = 33/16660
answer is C
Answer:
The answer is the second one
The 6 should be 30 in step two.
Step-by-step explanation:
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The ratio of neon fish to all the fish in the aquarium is 3 : 4 .
In the question ,
it is given that
in Mrs. Jone's class room there are angel fish and neon fish
number of angel fish in the aquarium = 14 fish
number of neon fish in the aquarium is = 42 fish
So, the total number of fish in the aquarium = number of angel fish + number neon fish
total number of fish = 14 + 42
= 56
the ratio of neon fish to all the fish in the aquarium is
= number of neon fish : total number of fish
= 42 : 56
since the ratio is written in simplest form ,
we get
= 6 : 8
= 3 : 4
Therefore , The ratio of neon fish to all the fish in the aquarium is 3 : 4 .
Learn more about Ratio here
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