Give the required elements of the hyperbola 2y^2-3x^2=6. the value of a is: a. root2 b. root3 c.2 d.3

The answer is C

Step-by-step explanation:

I knew because I took the test on edgeniuty

The correct option is B) √3.

Step-by-step explanation:

Consider the provided equation.

Divide both of the side of the equation by 6.

The standard equation of the a hyperbola with center  at origin where the transverse axis is on the y-axis.

Now compare the obtained equation with the standard equation of hyperbola we can concluded that:

a = √3 and b = √2

Hence the value of a is √3.

Thus, the correct option is B) √3.

well the 1 and -1 are always after the 0 and the 0 is inthe middle. s thats what i would guess. but i dont know what a slope of 2 is sorry

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is