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LUCKY_DIMON [66]
3 years ago
6

Sarah backstrokes at an average speed of 8 meters per second , how long will it take her to complete the race of 200 meters leng

th? Please show work
Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Answer:25 seconds

Step-by-step explanation:

Just divide 200/8 and you’ll get 25 because 4 multplied by 25 is 100 so 8 multiplied by 25 is 200

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Rewrite the equation by completing the squares x^2-x-20
yuradex [85]

Answer:  x = ¹/₂ ± √⁸¹

                     ------------

                            2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x    =  20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )²       = 20 + ¹/₄

( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂               =  √⁸¹/₄

x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

                               2

3 0
3 years ago
Use the following similar triangles (ABC ~ DEF). If AC= 18 when DF=19 and AB=15, what is DE? Solve mathematically. Round your an
aev [14]

Answer:

Step-by-step explanation:

As they are similar triangles,we can write

\frac{AB}{DE}=\frac{AC}{DF}

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⇒DE=15.8

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3 years ago
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