Answer:
I suppose you're trying to make a triangle of some sort on a plane! So, in this case, yes the three points would reside all on the same plane. Making all three of them collinear.
Answer:
$110
Step-by-step explanation:
Let a, b, and c represent the earnings of Alan, Bob, and Charles. The problem statement tells us ...
a + b + c = 480 . . . . . . the combined total of their earnings
-a + b = 40 . . . . . . . . . . Bob earned 40 more than Alan
2a - c = 0 . . . . . . . . . . . Charles earned twice as much as Alan
Adding the first and third equations, we get ...
(a + b + c) + (2a - c) = (480) + (0)
3a + b = 480
Subtracting the second equation gives ...
(3a +b) - (-a +b) = (480) -(40)
4a = 440 . . . . . . . . simplify
a = 110 . . . . . . . . . . divide by the coefficient of a
Alan earned $110.
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<em>Check</em>
Bob earned $40 more, so $150. Charles earned twice as much, so $220.
The total is then $110 +150 +220 = $480 . . . . as required
The first thing is the slope
y = 1/2 x + b is the new line. Now we must solve for b
2 = 1/2 (-2) + b
2 = -1 + b
3 = b
The new line is
y = 1/2 x +3
Answer:
3e = k
2a - 6 = k
k = 18
we can plug in k first for each equation
3e = 18
e = 6
2a - 6 = 18
a = 12
k = 18
e = 6
a = 12
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
cross-multiply:
6y = 30
y = 5
