Answer:
The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.
Answer:
There are two rational roots for f(x)
Step-by-step explanation:
We are given a function

To find the number of rational roots for f(x).
Let us use remainder theorem that when
f(a) =0, (x-a) is a factor of f(x) or x=a is one solution.
Substitute 1 for x
f(1) = 1-2-5+6=0
Hence x=1 is one solution.
Let us try x=-1
f(-1) = 1-2-5+6 =0
So x =-1 is also a solution and x+1 is a factor
We can write f(x) by trial and error as

We find that
factor gives two irrational solutions as
±√3.
Hence number of rational roots are 2.
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if 
here;

Thus;



∴

Hence, we can conclude that r(t) and s(t) are parallel.
Answer: 
Step-by-step explanation:
Numbers can be arranged in decreasing order (this means that they are ordered from greatest to least) and in increasing order (which means that they are ordered from least to greatest).
In this case, you are asked to arrange the number from least to greatest (increasing order). Then:
The least number is 0.10299 and the greatest is 1.1
Then:
