Identify the graph of the equation. what is the angle of rotation for the equation? 2xy – 9 = 0

a. hyperbola; 90° c. ellipse; 30° b. hyperbola; 45° d. ellipse; 60° select the best answer from the choices provided a b c d

B. Hyperbola; 45 degrees

Step-by-step explanation:

refer to the image, it is what the equation looks like graphically.

it's a hyperbola with the x- and y-axis as asymptotes.

90 degrees means that it would shift into the II and IV quadrants, so 45 degrees means that it would stay in the I and III quadrants.

also by simplifying the equation you get xy=9/2 which also equals 4.5-

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional