Solve the following by completing the square
m² - 10m -13=11
Solve

m = - 2, m = 12

Step-by-step explanation:

Given

m² - 10m - 13 = 11 ( add 13 to both sides )

m² - 10m = 24

To complete the square

add ( half the coefficient of the m- term )² to both sides

m² + 2(- 5)m + 25 = 24 + 25, that is

(m - 5)² = 49 ( take the square root of both sides )

m - 5 = ± = ± 7 ( add 5 to both sides )

m = 5 ± 7, thus

m = 5 - 7 = - 2 or m = 5 + 7 = 12

x=6 and x=3

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54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.