Answer:
A and D are not polynomials. B and C are polynomials
Step-by-step explanation:
In order to find out what function is a polynomial, you have to understand what a polynomial is. A polynomial is a sum of monomials that make up a polynomial expression. A mononomial is a real number, with a variable, and a exponent of a variable that makes up one term. For example
is a monomial. It has a real number, a variable, and a exponent that makes up one term. A polynomial has one or more monomial terms that make it a polynomial. So firstly, a polynomial by definition cannot have a negative exponent. That eliminates D. Why? because by definition, the standard form of a polynomial function states that n cannot be positive, it has to be a nonnegative integer. Also, polynomials can only be real numbers. It cannot have a nonreal number. Radical forms without a perfect square are nonreal numbers. So that eliminates A. However, B and C can be polynomials because the definition of polynomials say that real numbers, nonnegative exponents, and constants can be part of a polynomial function. Even with the fraction, that would be part of rational expressions (polynomial/polynomial), which is polynomials. I hope this helps friend. Math can be tough to explain just as much as doing it :)
The path between the two houses and the path the homing pigeon will fly form a triangle. (Shown in picture)
To solve this problem you are finding the hypotenuse of the triangle. This can be solved using the Pythagorean theorem: a^2 + b^2 = c^2
Start by identifying your variables:
a: 6 (miles north)
b: 8 (miles west)
c: miles of the homing pigeon’s path
After identifying your variables, substitute the values into your equation.
This results in:
6^2 + 8^2 = c^2
Next, square both of your a and b values by multiplying each value by temselves. 6 x 6 is 36 and 8 x 8 is 64
So...
This leaves you with:
36 + 64 = c^2
After that, add your values together to get one value on each side of the equal sign.
36 + 64 = 100
This leaves you with 100 = c^2
To find your final answer, square root both sides to isolate and solve for the c value.
The square root of 100 is 10.
So your final answer is 10 miles.
The homing pigeon will fly 10 miles between Joe and Raul’s houses.
Hi there!
The correct answer (the statement that is not true): The volume of the smaller cone cannot be determined because it’s height is unknown.
Hope this helps and have a good day :) !
~Angel
Answer:
1st box: Asso. prop= m+(4+x)
2nd box: Comm. Prop= m+4=4+m
3rd box: iden. prop= m+0=m
4th box: Zero prop: m x 0=0
A=3
The equation y=3x goes through both points
Hope I helped