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777dan777 [17]
3 years ago
11

A freight trains departs from one train station to its destination at a constant speed. Suppose the distance the train is from t

he station in miles in represented as a function of the number of hours after the train departed from the train station. If the graph of the function passes through the points (0.5,135) and (2,81), what is the distance between the train station and the freight train’s station?
153 miles
189 miles
171 miles
162 miles
Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

Distance = 54 miles (Approx)

Step-by-step explanation:

Given:

Co-ordinate of two point = (0.5,135) and (2,81)

Find:

Distance

Computation:

Distance = √(x1-x2)²+(y1-y2)²

Distance = √(2-0.5)²+(81-135)²

Distance = √2.25 + 2916

Distance = 54 miles (Approx)

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Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. N
Zielflug [23.3K]

Answer:

3/2 x +1 = 5/4x - 5

3/2 x+1 =5/4

x−5

Step 1: Subtract 5/4x from both sides.

3/2 x+1−5/4

x=5

4x−5−5/4x

1/4x+1=−5

Step 2: Subtract 1 from both sides.

1/4x+1−1=−5−1

1/4

x=−6

Step 3: Multiply both sides by 4.

4*(1/4x)=(4)*(−6)

x=−24 Mary has 24 shells

Answer:

-x=−24

x = 24 shells

Step-by-step explanation:

1.   2 3/4 x 16 = 44 + 6 = 50 shells   x= 16    

2 3/4 x 24 = 66 + 6 = 72 x = 24

We see the side workings in bold as if Mary has 24 and Nancy has 1x more

Then Nancy 24+24 = 48 where Gracie 5 x 24 = 120 and we have 72-48 = 24 and 120-72 = 48 being the same as Nancy. You can ignore or check the rest in explanation.

                           2 3/4 x 18 = 49 1/2 + 6 = 55 1/2  x= 18

2.  2 3/4 x 16 = 44 -4 = 40 shells  x = 16  2 3/4 x 24 = 66 - 4 = 62   x = 24

                            2 3/4 x 18 = 49 1/2 - 4 = 45 1/2   x = 18

3.   2  3/4 x 16 = 44 + 4 = 48 shells x = 16  2 3/4 x 24 = 66 + 4 = 70  x = 24                

2 3/4 x 18 = 49 1/2 + 4 =53 1/2  x = 18

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3 years ago
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What is the answer to this: <br> Share 165 by 15
Pepsi [2]
The answer is 11, because 165 divided by 15 is 11 :)
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Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?
saveliy_v [14]

Answer:

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Step-by-step explanation:

We have been given that  s = 16 cm, θ = 48° and we have to find the radius r.

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3 years ago
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