Pls me with the blanks and the questions c, d and needed tia

(a) no

(b) yes

(c) y = 900/x^2

(d) 400

(e) about 9.49 m

Step-by-step explanation:

(a) When x and y are inversely proportional, their product is a constant.

  1·900 ≠ 2·225, so x and y are not inversely proportional

(b) When x^2 and y are inversely proportional, their product is a constant.

  1^2·900 = 2^2·225 = 3^2·100, so x^2 and y are inversely proportional

(c) The result from (b) tells you

  x^2·y = 900

or

  y = 900/x^2

(d) For x=1.5

  y = 900/1.5^2 = 900/2.25 = 400

(e) For y = 10

  10 = 900/x^2

  x^2 = 900/10 . . . . multiply by x^2/10

  x = √90 ≈ 9.49 . . . meters

{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