Which statement is an example of an axiom? a. through any two points there exists one line. b. if two lines intersect, then their intersection is a point. c. a line contains at least two points. d. the whole is greater than the part. e. the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

A. Through any two points there exists one line.

Step-by-step explanation:

A postulate or an axiom is a statement that is assumed true without proof. There is nothing you can prove wrong about it.

Picture 2 points on a drawing and join them. The only possible way to do so is by drawing a line, so this idea of "Through any two points there exists one line" cannot be proven wrong.

the line of

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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