The table for the complete ratios between distance and time is shown below.
<h3>What is the Ratio of Distance to Time?</h3>
The ratio of distance to time, given that 280 miles will be covered in 4 hours is: 280/4 = 70 miles per hour.
Thus, for 2 hours: 2(70) = 140 miles distance.
For 350 miles, we would have: 350/70 = 5 hours time.
For 6 hours: 6(70) = 420 miles distance.
For 8 hours: 8(70) = 560 miles distance.
For 700 miles, we would have: 700/70 = 7 hours time.
The complete table is shown in the image below.
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We want to get the difference quotient for the given function, we will get see that the difference quotient is equal to:
f'(x) = 2x + 5
<h3>
The difference quotient:</h3>
For a given function f(x), we define the difference quotient as:
In this case, we have:
f(x) = x^2 + 5x + 6
Replacing that in the difference quotient we get:
Now we can cancel the factor h to get:
So the difference quotient is equal to 2x + 5.
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Answer:
Angle TSW = angle UTV because they are corresponding congruent angles.
Angle STW = angle TUV because they are corresponding congruent angles.
Triangle STW is congruent to triangle TUV because of the Angle-Angle-Side Similarity theorem.
