Answer:
45 km/h
Step-by-step explanation:
In the first part of the trip, he already covered 30 km so we can subtract that from the total distance
45 - 30 = 15
This means he has 15 km to go
He also took an hour, or 60 minutes, to get to school. We subtract the time spent of the first part and time spent talking to a friend from the 60 minutes
60 - 35 = 25
25 - 5 = 20
He took 20 minutes to cover the second part of the journey
Speed = distance/time
15/20 = 0.75
He covered 0.75 km per MINUTE
to find it in km/h, we just multiply the number by 60
0.75 x 60 = 45
1. Consider the transformation that maps the graph of the function 
into the graph of the function 
This transmormation has a rule:
(x,y)→(x+2,y)
that is translation 2 units to the right.
2. Consider the transformation that maps the graph of the function 
into the graph of the function 
This transformation has a rule:
(x,y)→(x,y+3)
that is translation 3 units up.
Answer: correct choice is C.
The identity in question is
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
so that
cos(a - b) = 12/37 cos(a) + 3/5 sin(b)
Since both a and b lie in the first quadrant, both cos(a) and sin(b) will be positive. Then it follows from the Pythagorean identity,
cos²(x) + sin²(x) = 1,
that
cos(a) = √(1 - sin²(a)) = 4/5
and
sin(b) = √(1 - cos²(b)) = 35/37
So,
cos(a - b) = 12/37 • 4/5 + 3/5 • 35/37 = 153/185
1/4 = 0.25
2/3 = 0.666666667
0.25(0.666666667) = 0.166666667 =
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Set a porportion: 60/50=x/20 and solve for x=24
