49x^2 + 64y^2 = 3136 . . . (1)
y - 6 = (1/4)x^2 . . . (2)
From (2), x^2 = 4(y - 6) = 4y - 24 . . . (3)
Putting (3) into (1) gives
49(4y - 24) + 64y^2 = 3136
196y - 1176 + 64y^2 = 3136
64y^2 + 196y - 4312 = 0
y = 6.819
x = sqrt(4(6.819) - 24)
x = 1.81
The possible point of collision is (1.81, 6.819)
Answer:
1.4 pounds
Step-by-step explanation:
to get this ancwer you divide 14 by 10 witch gives you 1.4 pounds
Answer:
g(f): x -> 2(x-7)=2x-14 , g(f)(-1)=2*(-1)-14=-16
Step-by-step explanation:
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.