Answer:
y = 3x + 2
Step-by-step explanation:
3 is the slope
2 is the y-intercept
Answer:
x =12.82
Step-by-step explanation:
1/2(x-6.5) = 3.16
Multiply each side by 2
1/2(x-6.5) *2 = 3.16 *2
(x-6.5) = 6.32
Add 6.5 to each side
(x-6.5+6.5) = 6.32+ 6.5
x =12.82
Volume= (3.14)r^2h
Volume= 3.14 (9.5)^2 5
Volume= 1416.9 ft^3
Answer:
The two lines intersect (in other words, they have a common meeting points)
Step-by-step explanation:
Thinking process:
A linear equation takes the form of 
where , m = gradient
c = y-intercept (point where the line cuts the y-axis)\
Suppose we have these two linear equations: 
We can find the point of intersection by solving the two equations simultaneously like this:
sub y = 2x + 4 into equation (2) gives:
2(2x+4) = -6x -1
solving yields
- 0.9
Substituting x= -0.9 into equation 1 yields:

y = 2.2
In terms of the Cartesian coordinates (x, y) the point of intersection will be (-0.9, 2.2)
Hence, the point of intersection is a solution of two linear equations.
First two rolls have to be 1-4 that is 2/3 chance twice and the third can be 4or 5
2/3*2/3*1/3 + the chance that the fourth is the 5 or 6.
2/3*2/3*2/3*1/3
So the solution is : P=2/3*2/3*1/3 + 2/3*2/3*2/3*1/3