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Aleksandr [31]
4 years ago
9

Item 8

Mathematics
1 answer:
ludmilkaskok [199]4 years ago
8 0
So, I didn't quite understand your question clearly, but I'll try my best to answer it.

So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.

2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)

That means:
7*60= 420+45 = 465.
5*60=300+51=351.

Now, let's do the math itself:
465 -> 100%
351 -> x%
 Is equal to about  75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately

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What is an equation of the line that passes through the point ( − 6 , − 1 ) (−6,−1) and is perpendicular to the line 6 x − y = 7
xenn [34]

Answer:

y =  -\frac{1}{6} x - 2

Step-by-step explanation:

Given coordinate:

          ( − 6 , − 1 )

Equation of the given line is  6x− y = 7

Unknown:

Equation of the line that passes through the point and is perpendicular = ?

Solution:

A perpendicular line will have a slope that is of negative inverse to the one given;

              6x  - y  = 7

                     -y  = -6x  + 7

                     y  = 6x - 7

According to y= mx + c

 y and x are the coordinates

    m is the slope

     c is the y-intercept

Therefore, the slope of the line  = 6

  Perpendicular to this = -\frac{1}{6}

 The new line will be;

       Let find the intercept;

             -1  =  -\frac{1}{6} x (-6) + c

             -1  = 1 + c

               c = -2

The new line is;

              y =  -\frac{1}{6} x - 2

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4 years ago
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Although I will not give an explanation, your answer is...


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