Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , then
A (2, - 2 ) → A' (2, 2 )
B (4, - 1 ) → B' (1, 4 )
C (4, - 3 ) → C' (3, 4 )
D (2, - 4 ) → D' (4, 2 )
H = Alice's home runs
p = Peter's home runs
p = 2(h - 6)
p + h = 18
Simplified:
p = 2h - 12
p - 2h = -12
p + h = 18
Solve simultaneously:
p - 2h = -12 ...1
p + h = 18 ...2
1 - 2:
-3h = - 30
h = -30/-3
h = 10
Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8
Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
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<h2>-3n where n can be (-∞ to +∞)</h2><h2>hope it helped :-)</h2>
