Answer:
Step-by-step explanation:
-6.34
You can just use the calculator. :)
Answer:
Step-by-step explanation:
The function
gives the mass of the car as a function of the number of passengers in it.
And the function
gives the potential energy of the car as a function of the car's mass.
Now if the height of the ramp is 30 meters, we have
And to find the potential energy as a function of the number of passengers, we just substitute 
into 
to get:
which gives the potential energy as a function of the number of passengers.
Hello there! the answer would be x = 3/4.
You are given the two equations: 4x - 2y = 8 and y = 1/2x + 2. You are asked to solve via substitution. To do this, substitute the value of y in the second given equation into the first given equation, and solve using PEMDAS.
4x - 2(1/2x + 2) = 8 - Start by distributing 2 into (1/2x + 2).
4x - 1x + 4 = 8 - Combine like terms.
3x + 4 = 8 - Subtract 4 from both sides.
3x = 4 - divide both sides by 3.
x = 3/4. This is your final answer.
I hope this was helpful, have a great day! :)
Answer:
Mark
Step-by-step explanation:
<u>Concepts + Application</u>
The velocity, in this case, is the speed of each friend's car while traveling to Charleston. To find the speed, we divide the number of miles (aka the distance) by the number of hours. The friend with the greatest quotient is the one who traveled at the highest velocity.
<u>Solution</u>
250 ÷ 5 = 50
240 ÷ 4 = 60
135 ÷ 3 = 45
110 ÷ 2 = 55
As you can see, 60 mph is the greatest velocity, so the person who traveled at the highest velocity to Charleston is Mark.
Answer:
(x-1)^2 + y^2 = 25
Step-by-step explanation:
center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)
AB = 10
radius = AB / 2 = 5
equation formula: (x - xC)^2 + (y-yC)^2 = radius^2
Hence:
(x-1)^2 + y^2 = 25
