there will be one solution because the lines intersect at exactly one set of points.
(0,6)(6,3)
slope(m) = (3-6) / (6-0) = -3/6 = -1/2
y = mx + b
6 = -1/2(0) + b
6 = b
y = -1/2x + 6
(0,0)(6,6)
slope(m) = (6-0) / (6-0) = 6/6 = 1
y = mx + b
6 = 1(6) + b
6 = 6 + b
6 - 6 = b
0 = b
y = x + 0
x = -1/2x + 6
1/2x + x = 6
1/2x + 2/2x = 6
3/2x = 6
x = 6/(3/2)
x = 6 * 2/3
x = 12/3 = 4
<span>solution is : (4,4)</span>
Note: The third term of the sequence should be 
instead of 
, otherwise the sequence has no common ratio.
Given:
The given sequence is
To find:
The common ratio of the given sequence.
Solution:
The quotient of each pair of consecutive terms are:
Similarly,
And,
Therefore, the common ratio of the given sequence is 
or 0.75.
Answer: z=0
Step-by-step explanation:
W=zr-2zt^3
Move all terms containing z to the left, all other terms to the right.
dd '-1rz' to each side of the equation.
-1rz+z=rz+-1rz+-2t^3z
Combine like terms: rz + -1rz = 0
-1rz+z=0+(-2t^3z)
-1rz+z=-2t^3z
Add 2t^3z to each side
-1rz+2t^3z+z=-2t^3z+2t^3z
Combine the like terms 2t^3z+2t^3z=0
-1rz+2t^3z+z=0
Factor out the Greatest Common Factor (GCF), 'z'.
z(-1r+2t^3+1)=0
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
Whats the question ill be happy to help
