I don’t know what is the least common factor of 18 and 12.
1 answer:
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The formula of t in terms of s , ,
is
The value of t when s = 310 , = 75 ,
= 80 is 2 hours
Step-by-step explanation:
Two trains left the cities A and B at the same time and headed towards
each other
- The cities are s miles apart
- The first train was traveling at the speed of
mph
- The second train was traveling at the speed of
- After t hours the two trains met each other
∵ The cities are s miles apart
∵ After t hours the two trains met each other
∴ s = +
, where
is the
distance that the 1st train moved in t hours and
is the distance that the 2nd train moved in t hours
∵ s = v t
∴ =
t
∴ =
t
- Substitute them in the equation of s
∴ s = t +
t
- Take t as a common factor in the right hand side
∴ s = t ( +
)
- Divide both sides by ( +
)
∴
The formula of t in terms of s , ,
is
∵ s = 310 m/h
∵ = 75 m/h
∵ = 80 m/h
- Substitute these values in the formula of t above
∴
∴ t = 2 hours
The value of t when s = 310 , = 75 ,
= 80 is 2 hours
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( - 10, - 22 )
using the midpoint formula,
let the other endpoint have coordinates (x, y) then
(2 + x ) = - 4 ( multiply through by 2 )
2 + x = - 8 ( subtract 2 from both sides ) then
x = -8 - 2 = - 10 ← value of x-coordinate
Similarly for y-coordinate
(8 + y ) = - 7 ( multiply through by 2 )
8 + y = - 14 ( subtract 8 from both sides )
y = - 14 - 8 = - 22 ← y -coordinate
the other endpoint is ( - 10, - 22 )