Simplifying
j = (2j + 3)
Reorder the terms:
j = (3 + 2j)
Remove parenthesis around (3 + 2j)
j = 3 + 2j
Solving
j = 3 + 2j
Solving for variable 'j'.
Move all terms containing j to the left, all other terms to the right.
Add '-2j' to each side of the equation.
j + -2j = 3 + 2j + -2j
Combine like terms: j + -2j = -1j
-1j = 3 + 2j + -2j
Combine like terms: 2j + -2j = 0
-1j = 3 + 0
-1j = 3
Divide each side by '-1'.
j = -3
Simplifying
j = -3
Your answer would be 5 hours. Because total time divided by rate is the time it took to travel that distance. 250mi/50mph=5hours. Hope this helps.
Answer:
a is x=7.5 b is x=1
Step-by-step explanation:
:))))))))
Answer:
3m = -3
Step-by-step explanation:
2m−6=8m
Subtract 2m from each side
2m−6-2m=8m-2m
-6 = 6m
Divide by 6
-6/6 = 6m/6
-1 = m
3m = 3(-1) = -3
Answer:
621 / 629
Step-by-step explanation:
We are given the following information -
cos x = 
, and sin y = 
Respectively we can use the following information -
sin( x + y ) = sin x ( cos y ) + sin y ( cos x ),
Knowing that cos^2x + sin^2x = 1, cos^2y + sin^2y = 1, we can calculate the value of sin x and cos y, plugging it into the first bit " sin( x + y ) = sin x ( cos y ) + sin y ( cos x ) "
Respectively cos y should be 35 / 37 -
Thus,
sin( x + y ) = ( 15 / 17 ) * ( 35 / 37 ) + ( 12 / 37 ) * ( 8 / 17 ),
sin( x + y ) = 621 / 629
<u><em>Hope that helps!</em></u>
