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Ganezh [65]
3 years ago
12

What is the greatest number of roots a polynomial of degree 15 can have ?

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

15

Step-by-step explanation:

The highest exponent in a polynomial function is the degree. The degree is also the greatest number of roots available. Since roots come from the factors of the function, as each factor is multiplied the degree increases. If the degree is 15 the greatest number of factors or roots it can have is 15.

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Line segment XY has the coordinates X(–12, –6) and Y(5, 6). What is the approximate length of line segment XY?
malfutka [58]

The approximate length of line segment XY is 20.8 units

<h3>How to calculate the distance between two points</h3>

The formula for calculating the distance between two points is expressed as:

A = √(x2-x1)²+(y2-y1)²

Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;

XY = √(5+12)²+(6+6)²

XY = √(17)²+(12)²

XY = √269 + 144

XY = 20.8

Hence the approximate length of line segment XY is 20.8 units

Learn more on distance formula here; brainly.com/question/661229

6 0
2 years ago
The U.S.A. Olympic Synchronized Swimming Team is designing a routine for their upcoming competition. From the center of the pool
Mama L [17]

Answer:

The equation of the circle is;

(x - 2)² + (y - 4)² = 5²  

Step-by-step explanation:

We note that the general equation of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

The given parameters are;

The location of the center of the pool to the center of their formation = 2 feet to the right and 4 feet up from the center of the pool

The point through which the circle which they form goes through = A point 3 feet to the left and 4 feet up from the center of their formation

Taking the center of the pool as the origin of the coordinate plane system, we have;

The coordinate of the center of the circle = The coordinate of their motion from the center of the circle

∴ The coordinate of the center of the circle = (2, 4)

∴ (h, k) = (2, 4)

h = 2, k = 4

The coordinate of the point through which the circle passes = (2 - 3, 4 + 4) = (-1, 8)

∴ The length of the radius, 'r', can be found as, r = √((-3)² + 4²) = 5 or r = √((-1 - 2)² + (8 - 4)²) = 5

r = 5

The equation of the circle is therefore presented by substituting the values of 'h', 'k', and 'r', as follows;

(x - 2)² + (y - 4)² = 5².

4 0
3 years ago
5/9+1/9 in simplest form. Explain.
Lana71 [14]

Answer:

2/3

Step-by-step explanation:

5/9 + 1/9

= 6/9

= 2/3 in simplest form

8 0
2 years ago
Would you say that pythagoras’ theorem holds true for hexagons as well? why or why not
kifflom [539]
No, the Pythgorean Theorem only applies to right triangles. To get two right triangles, you divide a rectangle diagonally. Dividing a hexagon into two pieces produces trapezoids or pentagons depending where it is divided. 
7 0
3 years ago
Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial
Nastasia [14]

Answer:

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) = a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}

where n is a finite positive integer and n ∈ N

and 'a_{i}'s are fixed but otherwise arbitrary constants ∀  i = 0(1)n .

Now, the given expression is,

9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}

which  doesn't fit in the above form. Hence, it is not a polynomial.

4 0
3 years ago
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