Which of the following values "completes the square," or creates a perfect square trinomial, for x2 + 6x + ___?

1 answer:

7 0

To create a perfect square trinomial, halve the x coefficient, square it, and then add that value.

In the case of x² + 6x, we would have 6 to get 3, then square 3 to get 9.
We would add 9 to make a perfect square trinomial.

Why this works
A perfect square trinomial is designed to factor to some value (x+n)².
When you FOIL this you get x² + 2nx + n².
As you can see, if you wanted to find the value of that n², you could take that x coefficient 2n, halve it to get n, and then square it to get n²!

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Help please! math volumes

salantis [7]

Answer:

980.18 cm^3

Step-by-step explanation:

Volume of cylinder w/out spheres = pi r^2 h

= pi 8^2 *6

now subtract the volume of the TWO spheres

2 * 4/3 pi * 3^3

for result = 980.18 cm^3

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1 year ago

PLS HELP NOW!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kupik [55]

The correct answers are:

1. 35

2. B.) Rational

3. -88/3 or as a decimal, 29.3 repeating

4. 226.981

5. -6

Hope This Helps!!!

Can I have Brainliest?

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2 years ago

HELP ASAP!!

Tresset [83]

By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.

This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.

Then:

By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are same-side interior angles. Because AB and DC are parallel, the same-side interior angles must be supplementary by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.