Answer:
A) 8, 15, 17.
Step-by-step explanation:
Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.
The Pythagorean theorem states that:
Thus:
Option A:
→ 17 = 17 OK!
Option B:
→ 10 ≠ 12 NO
Option C:
[/tex] →
≠ 21 NO
Option D:
→
≠ 16 NO
Answer:
The following are the LINEAR functions.
Step-by-step explanation:
We know that linear functions are the equations with a straight line graph in an XY plane.
Also, a linear function is a function of the form
where m is the slope and b is the y-intercept. The only power of the variable is 1.
So, from the given expressions we can determine that:
1)
is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function
2)
This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1
3)
is a linear function because it is of the form
and the power of its x and y variables is 1. Hence, the function has a straight line graph.
4)
is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
5)
is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.
6)
is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree
or is the
polynomial.
7)
is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.
In a summary, the following are the LINEAR functions.