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lora16 [44]
2 years ago
7

Which description is correct for the polynomial -5x^3-4x+1?

Mathematics
1 answer:
Luden [163]2 years ago
8 0

Answer:

Cubic trinomial

Step-by-step explanation:

The degree of a term is the sum of the exponents of its variables

  • Quadratic: a polynomial of degree two
  • Cubic: a polynomial of degree three

Therefore, -5x³ - 4x + 1 is a cubic (since the sum of the exponents is 3)

  • monomial: a polynomial with exactly one term
  • binomial: a polynomial with exactly two terms
  • trinomial: a polynomial with exactly three terms

Therefore, -5x³ - 4x + 1 is a trinomial (as it has exactly 3 terms)

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<h2>The length of the line segment VT is 13 units.</h2>

Step-by-step explanation:

We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

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Where

RS=SR=x+6\\RT=x+4\\VR=RV=x+1\\RU=x

Replacing all these expressions, we have

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Solving for x, we have

x(x+6)=(x+4)(x+1)\\x^{2} +6x=x^{2} +x+4x+4\\6x-5x=4\\x=4

Now, notice that chord VT is form by the sum of RT and RV, so

VT=VR+RT\\VT=x+1+x+4\\VT=2x+5

Replacing the value of the variable

VT=2(4)+5\\VT=8+5\\VT=13

Therefore, the length of the line segment VT is 13 units.

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3 years ago
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