Find how fast she runs 1 km:
18/2 = 9 minutes.
So we know have K = 9t
Subtract 18 from both sides:
K-18 = 9t -18
Rewrite the right side:
K-18 = 9(t-2)
Given:
A number when divided by 780 gives remainder 38.
To find:
The reminder that would be obtained by dividing same number by 26.
Solution:
According to Euclis' division algorithm,
...(i)
Where, q is quotient and
is the remainder.
It is given that a number when divided by 780 gives remainder 38.
Substituting
in (i), we get

So, given number is in the form of
, where q is an integer.
On dividing
by 26, we get




Since q is an integer, therefore (30q+1) is also an integer but
is not an integer. Here 26 is divisor and 12 is remainder.
Therefore, the required remainder is 12.
Answer: The below figure shows the graph of f(x).
Explanation: Given function, 
Since, here three conditions are given,
In first case for values x<-5 , f(x)=5, so we get a line y=5 parallel to x-axis which passes through point (0,5).
In second case, for values
, f(x) =-2, so we get a line y=-2 parallel to x-axis which passes through point (0,-2).
In third case, for values x>6, f(x)=1, so we get a line y=1 parallel to x-axis which passes through point (0,1).
Thus, these three lines make the piecewise-defined function f(x).