4/5 = 0.80
1/5 + 3/5 = 3/5 + 1/5
Answer:
Jake has 9 sheep left
Step-by-step explanation:
As the question says, Jake has 12 sheep and all but 9 die. This means that he has 9 sheep left.
The distance between the points (6,2) and (-3,-2) is A) 9 units.
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
Using the second equation to substitute for y in the first equation, we have ...
x = -2x +3
3x = 3 . . . . . . . add 2x
x = 1 . . . . . . . . .divide by 3
y = x = 1
The solution is (x, y) = (1, 1).
_____
If you have the graph, you can read the solution from it as the coordinates of the point where the lines cross.
Given line q and line r, with equations
<span>y = m x + b1 y = m x + b2</span>
such that these are different lines, with identical slopes. Prove that line q || line r.
If these lines are parallel, then they will not intersect. Assume the lines intersect. Calculate the point of intersection. Since these equations already have the same slope, we may as well subtract one equation from the other one.
This gives us the following equation:
<span>0 = <span>b1</span> - <span>b2</span> <span>b1</span> = <span>b2</span> </span>
If <span>b1</span> = <span>b2</span>, then line q is the same line as line r. This contradicts the given conditions.
Therefore, line q and line r cannot intersect. If line q and line r do not intersect, they must be parallel.