Answer:
Step-by-step explanation:
(x/12) = (15/9)
x = 12 (15/9)
x = 20
2x - 2y = -12
4x - 7y = -15
Multiply the first equation by -2 to make the 2x the opposite of 4x:
2x - 2y = -12 x -2 = -4x + 4y = 24
Now add this to the second equation:
-4x + 4y = 24 + 4x - 7y = -15:
-3y = 9
Divide both sides by -3
y = 9 / -3
y = -3
Now you have Y, replace y in one of the equations and solve for x:
2x - 2(-3) = -12
2x +6 = -12
Subtract 6 from both sides:
2x = -18
Divide both sides by 2:
x = -18 /2
X = -9
Check:
2(-9) - 2(-3) = -12
-18 + 6 = -12 TRUE
4(-9) - 7(-3) = -15
-36 +21 = -15 TRUE
X = -9, y = -3
(-9,-3)
Answer:
depends on what X is
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step 1) Replace y = f(x)
Step 2) Exchange x and y
Step 3) Solve for y
Subtracting both sides by -5
Dividing both sides by 2
Step 4) Replace 
Answer:
the Kinetic Energy of the marble at the later point is 0.0007 J
Step-by-step explanation:
Given;
initial potential energy of the marble, P.E₁ = 0.0018 J
final potential energy of the marble, P.E₂ = 0.0011 J
At the initial starting point, the total mechanical energy is;
M.E = K.E + P.E
at the initial starting point, velocity = 0
M.E = 0 + P.E
M.E = P.E = 0.0018 J
At some point later, the total mechanical energy is;
M.E = P.E + K.E
0.0018 J = 0.0011 J + K.E
0.0018 J - 0.0011 J = K.E
0.0007 J = K.E
Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J
