A student is attempting to calculate the square root of 9. His work is shown below. Which statement below best applies
to his mathematical reasoning?
N
Given . I observe that 9 is not a perfect square. I notice the perfect squares closest to 9 are 4 and 16, so I estimate the
answer to be somewhere between 4 and 116. Since 9 is closer to 4 than 16, I estimate V6 2.5.
A. 9 is a perfect square, and the radical could have been evaluated directly.
B. 4 and 16 are not perfect squares, and therefore the student should not have chosen those numbers to
estimate 9.
C. The student should not have evaluated 4 to estimate 9.
D. The student has made no error. 10 s 25.
Please select the best answer from the choices provided
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9 is a perfect square, and the radical could have been evaluated directly

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.