Yes, (x - 3) is a factor of the given polynomial.
If (x - 3) was a factor of the polynomial, then 3 would be one of the zeros of the function. That means if you input 3 into the function, you will get an output of zero.
In this case, inputting 3 does produce 0. Therefore, it is a factor.
Answer:
2√133
Step-by-step explanation:
a²+b²=c²
8²+12²=c²
c²=208
208+18²=532
√532=23
The distance traveled in 1 roation is assumed to be the circumferece
c=2pir
in 13 rotations
13 times 2pir=26pir=distance traveled for 13 revolutions
r=13
d=26pi13
d=338pi
using 3.14 for pi
d=1061.32 inches
Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

Solve for x:

So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

Solve for x:

So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.