Answer:
G(3, 1), H(2, 3)
Step-by-step explanation:
When D is the midpoint of EG, it means ...
D = (E + G)/2
or
G = 2D -E = 2(3,4) -(3,7) = (2·3-3, 2·4-7) = (3, 1)
Likewise, H is ...
H = 2D -F = 2(3,4) -(4,5) = (2·3-4, 2·4-5) = (2, 3)
The answer is 15% of $2.55=$0.3825=$0.38 off
Step by step: Take 15% and divide 15% by $2.55 This will give you the amount of money that is going to be added onto the bill. When you divide it and get your answer just add the answer to your original bill.
The number is 112
1. Three digits
2. Less than 140
3. 7 is a factor
4. Even
5. 1+1+2 = 4
Answer:
(x, y) = (0, -2248)
Step-by-step explanation:
<u>Substitution</u>
Substitute for y:
300x -2248 = 350x -2248
0 = 50x . . . . . . . . add 2248-300x to both sides
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<u>Elimination</u>
Subtract the first equation from the second.
(y) -(y) = (350x -2248) -(300x -2248)
0 = 50x
x = 0
y = 300·0 -2248
The solution is (x, y) = (0, -2248).
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<em>Additional comment</em>
If you think for a bit about what the graph looks like, you realize both lines cross at their y-intercept, (0, -2248). That point of intersection is the solution to the system of equations.
