Step-by-step explanation:
let d+e=2 be equation 1
let d-e=4 be equation 2
lets make d the subject in equa 1
d = 2-e equation 3
put equation 3 in 2
2-e=4
e=2-4
e=-2
put e=-2 in equa 1
d-2=2
d=4
e is -2 and d is 4
Dy/dx = (dy/dt) / (dx/dt)
dy/dt = 2cos(2t)
dx/dt = -2sin(2t)
dy/dx = 2cos(2t)/-2sin(2t) = -cot(2t)
d^y/dx^2 = d(-1/tan(2t))/dx = (tan(2t) * 0 - (-1)*2sec^2(2t))/tan^2(2t) = 2sec^2(2t)/tan^2(2t) = 2csc^2 (2t)
Answer:
x = 10, y = 5
Step-by-step explanation:
Substitute the second equation into the x value of the first equation.
-4x + 11y = 15
-4(2y) + 11y = 15
-8y + 11y = 15
3y = 15
y = 5
Now substitute the y value into an original equation.
x = 2y
x = 2(5)
x = 10
Answer:
49
Step-by-step explanation:
745 / 15 = 49
not 39, 49
Answer:
P(T) = 1/20 = 0.05
The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05
Step-by-step explanation:
The probability of randomly selecting an umbrella and a shaving kit in that order.
P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)
P(U) = 1/5 (1 umbrella out of five possible gifts)
P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)
P(T) = 1/5 × 1/4
P(T) = 1/20 = 0.05
