Write the expression as a square of a binomial if possible: 9y^2+c^2d^2+6cdy

It is possible to convert the given expression into a square of a binomial and it is (3y + cd)².

Step-by-step explanation:

We are given an expression of 9y² + c²d² + 6cdy and we have to convert it into a square of a binomial, if possible.

Now, rearranging the expression, we get

9y² + c²d² + 6cdy

= (3y)² + (cd)² + 2 × (3y) × (cd)

= (3y + cd)² {Since we know the identity as (a + b)² = a² + b² + 2ab}

Therefore, it is possible to convert the given expression into a square of a binomial and it is (3y + cd)². (Answer)

{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

answer: 94

step-by-step explanation: 79+91+92+94+94 = 450 divided by 5 (since there are 5 number that are being added) = 90