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Gnoma [55]
3 years ago
14

How many variable terms are in the expression 3x3y + 5xz − 4y + x − z + 9? (Input a numeric value only.)

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

Answer:

there are three variable terms

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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x2+3/2x
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Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square.  For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

x^2 + \frac{3x}{2} + \frac{9}{16}\\=(x + \frac{3}{4})^2

To confirm the answer, let's expand it and see if we get the original expression:

(x + \frac{3}{4})^2\\= (x + \frac{3}{4})(x + \frac{3}{4})\\= x^1 + \frac{3x}{4} + \frac{3x}{4} + \frac{9}{16}\\= x^2 + \frac{6x}{4} + \frac{9}{16}\\=x^2 + \frac{3x}{2} + \frac{9}{16}

So 9/16ths is the scalar that needs to be added on the end.

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Step-by-step explanation:

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Wewaii [24]

P=\pi r^{2}

P-Area

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Answer:

Look at the attachment

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