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zvonat [6]
2 years ago
7

Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Mathematics
1 answer:
babunello [35]2 years ago
7 0

Answer:

The distance between B to B' is 5

Step-by-step explanation:

Using the distance lie formula:

Let's say (x2, y2) is (-2,1) and (x1, y1) is (1,5)

\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\\sqrt{(-2-1)^{2} +(1-5)^{2} } \\\sqrt{(-3)^{2} +(-4)^{2} } \\\sqrt{9+16}\\\sqrt{25}    \\= 5

The distance between the original and new coordinates would be the same, therefore the two will remain a distance of 5.

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Andrej [43]

A tank with capacity T gallons is empty. Tank will be filled in \frac{t}{(x - y)} minutes

<u>Solution:</u>

Given, A tank with capacity T gallons is empty.  

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Now, Water flows into the tank from pipe X at the rate of X gallons per minute,  

And water is pumped out by pipe Y at the rate Y gallons per minute,  

Then, together in one minute the amount of water filled will be x – y gallons  [as X is greater than Y]

Now, the time take to fill tank = =\frac{\text { capacity of tank }}{\text { amount of water filled per minute }}=\frac{t}{x-y}

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6 0
3 years ago
A train leaves at 14:56 and arrives at 16:43. It travelled at an average speed of 135 km/h. How far did it travel? Give your ans
Firlakuza [10]

Answer:

240.8

Step-by-step explanation:

→ Calculate time taken

16:43 - 14:56 = 1 hour and 47 minutes

→ Write the speed formula and make distance the subject

Speed = Distance ÷ Time ⇔ Distance = Speed × Time

→ Convert 1 hour and 47 minutes into decimal format

1.78333333 or  1\frac{47}{60}

→ Substitute values into formula

135 ×  1\frac{47}{60}  = 240.75

8 0
3 years ago
there are 6 twenty pound boxes and 8 sixty pound boxes of produce on a truck. how many pounds of produce are on the truck
Klio2033 [76]

6 *20 = 120

8 *60 = 480


120 + 480 = 600 pounds total

6 0
3 years ago
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tatuchka [14]

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3 years ago
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kolbaska11 [484]

Answer:

The answer is -14 :))

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