Answer:
~ 
Step-by-step explanation:
The formula for finding the area of a circle is;
Where () represents the area of the circle, (
) represents the value (
) and (
) represents the radius of the circle. As per its definition, the diameter is the largest cord or line segment that can be drawn through a circle, the diameter always passes through the center of a circle. The radius ( a line segment that can be drawn from the center of the circle to any side of the circle) is always half of the diameter.
This means that the radius for the given circle is (
), since (
÷
)
Substitute these values into the equation and solve for the area of the circle.
~
Answer:
Solving 
we get 
Step-by-step explanation:
We need to find solution of
Solving the inequality:
Multiply 6 with terms inside the bracket
Subtracting 12 on both sides
Adding 4x on both sides
Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >
So, after solving we get
Answer: (x-2)^2+(y+3)^2 = 9Side notes
1) This circle has a center of (2,-3)
2) The radius of this circle is 3
3) The graph is shown in the attached image
-------------------------------------------------------------------------------------
-------------------------------------------------------------------------------------
Work Shown:
x^2-4x+y^2+6y+4=0
x^2-4x+y^2+6y+4-4=0-4
x^2-4x+y^2+6y = -4
x^2-4x+4+y^2+6y = -4+4 ... see note 1 below
(x^2-4x+4)+y^2+6y = 0
(x-2)^2+y^2+6y = 0
(x-2)^2+y^2+6y+9 = 0+9 ... see note 2 below
(x-2)^2+(y^2+6y+9) = 9
(x-2)^2+(y+3)^2 = 9note 1: I'm adding 4 to both sides to complete the square for the x terms. You do this by first taking half of the x (not x^2) coefficient which in this case is -4. So take half of -4 to get -2. Then square this result to get 4
note 2: Like with note 1, I'm completing the square. What's different this time is that this is for the y terms now. The y coefficient is 6. Half of this is 3. Square 3 to get 9. So this is why we add 9 to both sides.
--------------------------------------------------------
So
the equation in standard form is (x-2)^2+(y+3)^2 = 9Note how
(x-2)^2+(y+3)^2 = 9
is equivalent to
(x-2)^2+(y-(-3))^2 = 3^2
So that second equation listed above is in the form (x-h)^2+(y-k)^2 = r^2
where
h = 2
k = -3
r = 3
making the center to be (h,k) = (2,-3) and the radius to be r = 3
The graph is attached.
Answer:
485
Step-by-step explanation:
Hey!
-------------------------------------------------
Yoga Fun: 62 + 11 = 73 (y-intercept)
Yoga For All: 20 (y-intercept)
-------------------------------------------------
First Class:
Yoga Fun: $73
Yoga For All: $20
Second Class:
Yoga Fun: $84
Yoga For All: $40
Third Class:
Yoga Fun: $95
Yoga For All: $60
Fourth Class:
Yoga Fun: $106
Yoga For All: $80
Fifth Class:
Yoga Fun: $117
Yoga For All: $100
Sixth Class:
Yoga Fun: $128
Yoga For All: $120
Seventh Class:
Yoga Fun: $139
Yoga For All: $140
-------------------------------------------------
Answer:
So we can see that the cost won't be exactly the same but it will be roughly the same when it's the sixth class.
-------------------------------------------------
Hope This Helped! Good Luck!
