I think it's 45.... good luck I'm sorry you have to do math lol
The rate of each train of the northbound train traveled 10 miles per hour faster than the southbound train 26 miles per hour.
<h3>what is speed?</h3>
Speed is the time rate at which an object is moving along a path
Let the speed of southbound train is x miles/hour
so, northbound train has speed of x+10 miles/hour.
then, Speed of both train = Total distance/ total time
(x+10+x)=210/5
2x+10= 210/5
2x+10= 42
2x= 32
x= 16 miles per hour (southbound train)
northbound train: 16+10=26 miles per hour
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Answer:
(1,-1)
Step-by-step explanation:
We can solve the system by using substitution.
In order to do this we must make x the subject in the first equation.
We can do this by simply subtract 2y from both sides
x + 2y = -1
subtract 2y from both sides
x + 2y - 2y = -1 - 2y
simplify
x = -2y - 1
now that we have made x the subject in one of the equations we can plug in (or substitute) the value of x into the other equation
2x – 3y = 5
x = -2y - 1
2(-2y - 1) - 3y = 5
We can then solve for y
2(-2y - 1) - 3y = 5
Distribute the 2
-4y - 2 - 3y = 5
combine like terms -4y + -3y
-7y - 2 = 5
add 2 to both sides
-7y = 7
divide both sides by -7
y = -1
Now that we have found the value of y we can plug in the value of y into one of the equations and solve for x
x + 2y = -1
y = - 1
x + 2(-1) = -1
multiply 2 and -1
x + -2 = -1
add 2 to both sides
x = 1
So we have found that x = 1 and y = -1 therefore the solution to the system of equations is (1,-1)
11x + y = -28
Make sure to always remember that you can't have any fractions or decimals in standard form.
Standard form is basically
Ax + By = C
Answer:
x = 13
Step-by-step explanation:
Split the triangle in to two. The dimensions of each will be 12 x 5 x X.
Use the pythagorean theorem.
h^2 = 144 + 25 = 169
h = sqrt 169 = 13
