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yuradex [85]
3 years ago
7

HELP PLS I FORGOT LOL TYSM!

Mathematics
1 answer:
Valentin [98]3 years ago
4 0

Answer:

A. The coefficients of the sum are whole numbers and the sum is a polynomial.

Step-by-step explanation:

The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:

1) 5\cdot m -3, 2\cdot m + 4 Given

2) (5\cdot m -3)+(2\cdot m +4) Definition of addition

3) (5\cdot m +2\cdot m ) +[(-3)+4] Definition of substraction/Associative and Commutative properties

4) (5+2)\cdot m +1 Distributive property/Definition of substraction

5) 7\cdot m +1 Definition of addition/Result

Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.

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Step-by-step explanation:

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the formulas are : cos (Ф) = Base / hypotenuse

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8 0
3 years ago
What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm
alekssr [168]
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[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
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[area of one equilateral triangle]=b*h/2
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the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
8 0
3 years ago
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