6x = 9 + x^2
A.-3,3
B.3
C. no solution
D.-3

b

Step-by-step explanation:Step 1: Simplify both sides of the equation.

6x=x2+9

Step 2: Subtract x^2+9 from both sides.

6x−(x2+9)=x2+9−(x2+9)

−x2+6x−9=0

Step 3: Factor left side of equation.

(−x+3)(x−3)=0

Step 4: Set factors equal to 0.

−x+3=0 or x−3=0

a)(x-2)^2+(y-1)^2=9

step-by-step explanation:

(picture explains)

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.