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IgorLugansk [536]
3 years ago
9

How to classify a polynomial by its degree​

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:Classifying Polynomials. Polynomials can be classified two different ways - by the number of terms and by their degree. A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.)

Step-by-step explanation:Hope this helps. Please name me brainliest

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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
To complete the square, how do you find the value that must be added to the expression to make a perfect square trinomial? What
Molodets [167]
Take half of the coefficient of x (which is 2/5) and square it:

[ (1/2)(2/5) ]^2 = (1/5)^2 = 1/25, or 0.04

Thus, to rewrite x^2 + (2/5)x to include a perfect square trinomial,

x^2 + (2/5)x  = x^2 + (2/5)x + (1/5)^2 - (1/5)^2, or

                 (x+1/5)^2 - (1/5)^2, or (x + 1/5)^2 - 1/25
3 0
3 years ago
Read 2 more answers
I dont really understand this??​
jeyben [28]

Answer:

x\geq  -53

Step-by-step explanation:

The inequality includes -53.

The interval notation is \:[-53,\:\infty \:)

\{ x \in \mathbb{R}: x \geq  -53 \}

8 0
3 years ago
Read 2 more answers
To finance her education, Sarah takes out a loan for $4000. After a year Sarah decides to pay off the interest which is 4% of $4
mel-nik [20]
Hope this makes more sense it’s all in the photo! ❤️

7 0
3 years ago
Subtract integers<br><br> 9 - (10)
BartSMP [9]

Step-by-step explanation:

9-(10) = 9-10 = -1

Hope this helps

4 0
2 years ago
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