Answer:
The expression is 10t = 65
Step-by-step explanation:
At the point where the local train and the express train meet, both trains would have travelled an equal distance.
A local train leaves the station in Springfield traveling toward New York City at a constant rate of 55 mph.
Let t represent the time it spent in travelling a given distance.
Distance = speed × time
Therefore,
Distance travelled by the local train is 55 × t = 55t
The express train headed for New York City on the same route leaves the station 1 hour later. The rate of the express train is 65 mph. It means that total time spent travelling the same distance as the local train is t - 1
Therefore, distance travelled is
65(t - 1)
Since the distance travelled is the same, therefore,
55t = 65t - 65
65t - 55t = 65
10t = 65
Answer:
? = 26 in
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² = 24² + 10² = 576 + 100 = 676 ( take the square root of both sides )
? =
= 26
Yes, SSS
PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.
Answer:
P = 5.5x + 9
Step-by-step explanation:
P = 5x + (0.3x + 24) + (0.2x - 15)
reduced
P = 5.5x + 9
<h3>
Answer: x(x+1)(5x+9) </h3>
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Work Shown:
5x^3 + 14x^2 + 9x
x( 5x^2 + 14x + 9 )
To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.
A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

Then use those two solutions to find the factorization
x = -1 or x = -9/5
x+1 = 0 or 5x = -9
x+1 = 0 or 5x+9 = 0
(x+1)(5x+9) = 0
So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)
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Overall,
5x^3 + 14x^2 + 9x
factors to
x(x+1)(5x+9)