NEED HELP ASAP, WILL GIVE BRAINLIEST The equation, –2x2 + 5xy – 7y2 + 9x – 7y + 13 = 0, represents a conic.
What is the discriminant?
A) -51
B)-31
C)0
D) 11

What does the equation represents?
A) ellipse
B) parabola
C) hyperbola

9514 1404 393

  B)  -31

  A)  ellipse

Step-by-step explanation:

In the form ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0

The discriminant is ...

  B² -4AC

The interpretation is ...

Any of the figures may be degenerate.

__

Here, the discriminant is ...

  5² -4(-2)(-7) = -31

The equation represents an ellipse.

12

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct