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sineoko [7]
3 years ago
12

What's the basic geometric term for the part of an angle where two rays begin and go in two different directions?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

<u>Answer </u>

B. Vertex


<u>Explanation</u>

A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.  

In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.

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Find an upper limit for the zeroes 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0
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<u>Answer-</u>

2 is the upper limit for the zeros.

<u>Solution-</u>

The given function f(x) is,

2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

For calculating the zeros,

\Rightarrow f(x)=0

\Rightarrow 2x^4 -7x^3 + 4x^2 + 7x - 6 = 0

\Rightarrow 2x^4-4x^3-3x^3+6x^2-2x^2+ 4x+3x-6=0

\Rightarrow 2x^3(x-2)-3x^2(x-2)-2x(x-2)+3(x-2)=0

\Rightarrow (x-2)(2x^3-3x^2-2x+3)=0

\Rightarrow (x-2)(x^2(2x-3)-1(2x-3))=0

\Rightarrow (x-2)(x^2-1)(2x-3)=0

\Rightarrow (x-2)(x+1)(x-1)(2x-3)=0

\Rightarrow x-2=0,\ x+1=0,\ x-1=0,\ 2x-3=0

\Rightarrow x=2,\ x=-1,\ x=1,\ x=\frac{3}{2}

From all the 4 roots, it can be obtained that 2 is the greatest zero.

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