Will award brainliest. 10pts. answer choices above.
solve the equation. check the solution.

-9

Step-by-step explanation:

a                  2          1

+ =

a^2 -36      a-6      a+6

Factor the denominator in the first term

a                    2          1

+     =

(a-6)(a+6)      a-6      a+6

Multiply both sides by (a-6) (a+6) to clear the fractions on both sides

                   a                    2          1

(a-6) (a+6)( +    ) = (a-6) (a+6)

                  (a-6)(a+6)      a-6      a+6

Distributing

                   a                                        2          1

(a-6) (a+6) +   (a-6) (a+6)       = (a-6) (a+6)

                  (a-6)(a+6)                         a-6      a+6

Canceling factors

    a  +2(a+6) =      (a-6)    

Distribute

a +2a+12 = a-6

3a+12 = a-6

Subtract a from each side

3a-a+12 = a-a-6

2a+12 = -6

Subtract 12 from each side

2a +12-12=-6-12

2a= -18

Divide by 2

2a/2 =-18/2

a=-9

Check

a                  2          1

+ =

a^2 -36      a-6      a+6

-9                  2          1

+ =

81 -36      -9-6      -9+6

-9                  2          1

+ =

45            -15           -3

3                  2          1

+ =

-15              -15         -3

5/-15 = -1/3

Correct

the answer is true.

step-by-step explanation:

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1