Lets think of it this way:-
1/2 is one half
Whats half of 12? 6
Now, 7 is greater than 6, which means the fraction 7/12 is greater than 1/2
Answer: 7/12 is bigger
Step-by-step explanation:
Circumference of a circle is 2piR
Here R is 3 cm
So C=2pi(3)
C=6pi cm
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
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D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
Answer:
and 
Step-by-step explanation:
We must solve the quadratic equation to find the values of x that satisfy equality

Subtract 24 on both sides of equality


Now we factor the quadratic equation
Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24
The numbers sought are: 6 and -4
So the factors are:

Finally note that the solutions are:
and 