The time the two trains are at the same distance from salt lake city is 6:am
<h3>What is rate?</h3>
a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.
Let the distance between salt lake city and the two trains be x and the time they are at the same distance x be t.
distance traveled by first train,
speed = distance/time
40 = x/t
making x subject of the equation and cross multiplying,
x = 40t--------------1
Also train 2 moved 4 hours later by 2pm, so the its time is t - 4
speed = distance /time
50 = x/t - 4
x = 50(t - 4)---------------2
Equating equations 1 and 2, we have
50(t - 4) = 40t
50t - 200 = 40t
50t - 40t = 200
10t = 200
t = 200/10
t = 20 hours
so the time the two trains will be at the same distance should be 20 hours from 10 am which is 6am the following day.
In conclusion the two trains will be at the same distance at 6am the following day.
Learn more about rate: brainly.com/question/24304697
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The formula to finda slope is y2-y1/x2-x1 . Let’s pick a random spot, say (2,6) and (6,6). This would make the slope 6-6/6-2 = 0/4. We know that 0/a is undefined, therefore the answer is undefined.
Answer:
f(5.9)= 15.7
Step-by-step explanation:
f(x) = 3x -2
f(5.9) = 3(5.9) -2
f(5.9) = 17.7 -2
f(5.9) = 15.7
Word Explination
If the (x) in f(x) is replaced by another variable (in this case, a number) any other x seen in the equation is replaced by that variable. For this question, the x in f(x) is replaced by 5.9. And so any other x in this equation needs to be replaced by 5.9 as well. From there on out, you solve.
F(x)=x^2
Translated to the right 8 units: h(x)=(x-8)^2
and down 7 units: g(x)=(x-8)^2-7
Answer: Option D. g(x)=(x-8)^2-7
Identity property of multiplication
