Answer:

Step-by-step explanation:
6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:
6•5•4•3 = 360
If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.
So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:
1•1•4•3 = 12
The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

But the step by step explanation is:
answer.
Answer:
Let y=x² . Then:
x4−10x2+9=y2−10y+9
y²-10y+9=(y-9)(y-1)
Substitute x² for y:
x4−10x2+9=(x2−9)(x2−1)
x²-9=(x+3)(x-3)
x²-1=(x+1)(x-1)
x4−10x2+9=(x+3)(x−3)(x+1)(x−1)
Step-by-step explanation:
v=Ah
A=9×12
= 108
then, v=108×8
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