Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
Answer: In an ordinary year, if you were to count all the days in a calendar from January to December, you'd count 365 days. But approximately every four years, February has 29 days instead of 28. So, there are 366 days in the year. This is called a leap year.
Step-by-step explanation:
The number of permutations of the 4 different digits is:

The answer is 24 ways.
Answer:
10
Step-by-step explanation:
[1 -2]
[3 4]
We can obtain the determinant of the above matrix by doing the following:
Determinant =(1 × 4) – (3 × –2)
Determinant = 4 – – 6
Determinant = 4 + 6
Determinant = 10
Thus, the determinant of the above matrix is 10
Answer:
5y = x + 11
Step-by-step explanation:
Given parameters:
Equation of the line ;
y = -5x + 1
Coordinates = (2, -1)
Find the equation of a line perpendicular;
Solution:
A line perpendicular to y = -5x + 1 will have slope that is a negative inverse of the given one.
Equation of a straight line is expressed as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
So, the slope of the new line perpendicular is
;
Now let us find the y-intercept of the new line;
x = -1 and y = 2
2 =
x (-1) + c
c = 2 +
=
The equation of the new line is;
y =
x +
or multiply through by 5;
5y = x + 11