Answer:
x^2 + y^2 - 6x + 3y -13 =0
Step-by-step explanation:
we have formula when endpoints of diameter of circle are given.
(x-x1)(x-x2)+(y-y1)(y-y2)=0
put value of x1,x2 and y1 and y2.
=(x-5)(x-1) + {y-(-6)}(y-3)=0
=(x^2 -x - 5x +5) + ( y+6)(y-3)=0
=x^2 - 6x +5 + y^2 - 3y +6y - 18=0
=x^2 + y^2 - 6x + 3y -13=0
required equation..
The answer is around 80.17
Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
Period: 4pi (= 2pi/|b|)
Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
we have
we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
therefore
<u>the answer is</u>
the x-intercepts are the points and