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2 years ago

R t2. Simplify the expressionr stO D. r 15

Mathematics

1 answer:

leonid [27]2 years ago

6 0

$\frac{ r^{-3} s^{5} t^{2} }{ r^{2}s t^{-2} }= r^{-3-2} s^{5-1} t^{2-(-2)}= r^{-5} s^{4} t^{4}= \frac{s^{4} t^{4}}{ r^{5} }$
Answer: option C.

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C. 17, 12, 7

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater then the length of the third side. If you can show any two segments, the sum of whose lengths is less than the length of the third segment, that cannot form a triangle.

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3 years ago

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Valentin [98]

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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