In the equation left parenthesis x squared plus 14 x right parenthesis plus left parenthesis y squared minus 18 y right parenthesisequals5, complete the square on x by adding to both sides. complete the square on y by adding to both sides.

Complete the square on x by adding 49 to both sides.

Complete the square on y by adding 81 to both sides.

Step-by-step explanation:

We have been given an equation . We are asked to complete the squares for both x and y.

We know to complete a square, we add the half the square of coefficient of x or y term.

Upon looking at our given equation, we can see that coefficient of x is 14 and coefficient of y is 18.

Now, we will add 49 to complete the x term square and 81 to complete y term square on both sides of our given equation as:

Applying the perfect square formula , we will get:

Therefore, We can complete the square on x by adding 49 to both sides and the square on y by adding 81 to both sides.

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

look at photo