we know that
The time it takes for the train to pass a single post is equal to the time it takes for the train to pass its length.
the length of the train is-----> 375 m
<u>convert to Km</u>
1 Km =1,000 m
375 m=375/1,000=0.375 Km
the speed of the train is 45 km/hour
so
by proportion
<u>convert to minutes</u>
1 hour=60 minutes
0.0083 hours=0.0083*60=0.5 minutes
<u>convert to seconds</u>
1 minute=60 sec
0.5 minutes=0.5*60=30 sec
therefore
<u>the answer is</u>
30 seconds
Let the first integer be 
. So, the next even number is 
Let's translate the formula: the square of the second is 
, twice the first is 
. So, the equation is
Expand the square to get
The solutions to this equations are
So, the possible consecutive even numbers are
Answer:
Solutions are (1,2) and (-1/2,5)
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Step-by-step explanation:
y=6x^2-5x+1
y=-2x+4
<em>Substitute</em>
-2x+4=6x^2-5x+1
<em>Simplify</em>
0=6x^2-3x-3
<em>Solve by factoring</em>
(x-6/6)(x+3/6)=0
x-1=0, x+1/2=0
x=1, x=-1/2
<em>Plug x's into oringinal equation</em>
y=-2(1)+4, y=-2(-1/2)+4
y=-2+4, y=1+4
y=2, y=5
<em>Write out solutions</em>
(1,2) and (-1/2,5)
Multiply the values of a and c together;
9*30= 270 <— find prime factors of this
270= 3*3*3*5*2
Now find a way to add these factors in different ways to give 33 (b value)
We can try (3*3*2)+(3*5)=?
18+15=33
Now that you know the numbers, break down the b value.
9x^2+18x+15x+30
9x(x+2)+15(x+2) <— make sure the brackets are the same
(9x+15)(x+2) <— check if this expands to the initial answer
Hope I helped :)
Answer:
4,3
Step-by-step explanation:
