Answer:
Choice B
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing the numerator and denominator by 6;

The eccentricity of this conic section is thus 2/3, the coefficient of cos theta. Clearly, the eccentricity is between o and 1 implying that this conic section represents an Ellipse.
Lastly, the ellipse will open towards the left since we have positive cos theta in the denominator. The only graph that meets the conditions is graph B.
5(x - 6) + 4 = 7x - 4
5x - 30 + 4 = 7x - 4
5x - 26 = 7x - 4
5x - 26 + 4 = 7x
5x - 22 = 7x
-22 = 7x - 5x
-22 = 2x
-22 / 2 = x
-11 = x
x = -11 is the solution to the given equation
Answer:
3 (5x+2y = 0)
2 (2x – 3y = -19)
Step-by-step explanation:
5x+2y=0 (1)
2x-3y=-19 (2)
To eliminate y from the first two equation when applying the linear combination method
We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively
3(5x+2y=0)
2(2x-3y=-19)
We have,
15x+6y=0 (3)
4x-6y= -38 (4)
Add Equation (3) and (4)
19x=-38
x= -2
Substitute x= -2 into (1)
5x+2y=0
5(-2)+2y=0
-10+2y=0
-10= -2y
y=-10/-2
=5
y=5, x=-2
Answer:
The correct choices are; B,C,E, and F.
Step-by-step explanation:
The given equation is;

We solve for m to obtain:

We also solve the remaining equations to see which ones give the same result.
A: 
B:
C:
D: 

E: 

F: 

The equivalent equations are; B,C,E, and F.