Let x^2−12x=61 . what values make an equivalent number sentence after completing the square? enter your answers in the boxes. x^2 − 12x + = =

We have been given a quadratic equation  and we have  to complete the square of the given equation.

We know that a perfect square is in form of  . Comparing the given equation we can see that in case is equal to and 2ab equals to -12x.

Now we have to figure what we should add to our equation to get a perfect square.

Since we know we can complete the square by taking half of coefficient of x term and squaring it.

Coefficient of x in our equation is 12 so to get    of our equation we have to divide it by 2. After dividing by 2 we will get 6 and now we will take square of 6.

Now we have to add 36 to both sides of our equation to hold our original equation true.

So we have to fill in the given space 36 to left hand side of equation and 97 to right hand side of equation.

answer is d-29

step-by-step explanation:

since you didn't include the picture, i can give you the description so you know how to pick the correct answer. the third quartile of a data is always shown in a box plot. in the middle of your graph should be a box. the third quartile is the value that goes with the far right edge of the box.

answer: d. $20

step-by-step explanation:

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