Answer:
80 and 90 mph
Step-by-step explanation:
Given that A and B have a distance of 1029 miles between them. Two trains each start from A and B and move towards each other.
Let the speed of I train be s
Then speed of second train = s+10 (since 10 greater than speed of I train)
Relative speed = s+s+10 = 2s+10
In 5 hours they travelled together a distance of 1020-170 =850 miles
Distance travelled = 850 miles
Relative speed = 2s+10
Time taken = 5 hours
Since distance = time x speed
we have
5(2s+10) =850
2s+10 =170
s = 80
Speed of the trains are 80mph and 90 mph
Answer:
(2, 2 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ (x₁ + x₂ ) , (y₁ + y₂ ) ]
Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus
midpoint = [ (5 - 1), (8 - 4 ) ] = (2, 2 )
Answer:
1/6
Step-by-step explanation:
Probability is a chance of an event taking place.
Probability = (favorable outcome)/(total outcome)
There are 3 even sides in a dice.
P(even) = 3/6 = 1/2
There are 2 numbers that are greater than 4 in a dice.
P(x>4) = 2/6 = 1/3
P(even and x>4) = 1/2 × 1/3 = 1/6
Answer:
a = √[(c — b)(c + b)]
Step-by-step explanation:
a^2 + b^2 = c^2
We can make "a" the subject by doing the following:
a^2+ b^2 = c^2
Subtract b^2 from both side:
a^2 = c^2 — b^2
Take the square root of both side
a = √(c^2 — b^2)
Since we have difference of two squares, we can simplify further as:
a = √[(c — b)(c + b)]