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IgorC [24]
3 years ago
5

What equation represents a line which is perpendicular to the line y=-2/5x + 5

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:  y = 5/2 x + 5 or  more clearly:  y = \frac{5}{2}x+ 5

Step-by-step explanation:  Slope intercept form y = mx + b

m is the slope, b is the y-intercept

To write the equation for a perpendicular line

Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 2/5 to become 5/2 and change the negative sign to positive.

The resulting equation is y = 5x/2 + 5 or  y = 2.5x + 5

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Javier volunteers in community events each month. He does not do more than five events in a month. He attends exactly five event
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Answer:

The probability of Javier volunteers for less than three a month is 25%

Step-by-step explanation:

According to the questions,

The probability of Javier to attend exactly 5 events :-

P ( x = 5 ) = 25% = \frac{1}{4}

The probability of Javier to attend exactly 4 events :-

P ( x = 4 ) = \frac{1}{4}

The probability of Javier to attend exactly 3 events :-

P ( x = 3 ) = \frac{1}{4}

The probability of Javier to attend exactly 2 events :-

P ( x = 2 ) = \frac{3}{20}

The probability of Javier to attend exactly 1 events :-

P ( x = 1 ) = \frac{1}{20}

The probability of Javier to attend no events :-

P ( x = 0 ) = \frac{1}{20}

Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).

P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )

P ( x < 3 ) = \frac{1}{20} + \frac{1}{20} + \frac{3}{20}   = \frac{1 + 1 + 3}{20}  = \frac{5}{20}  = \frac{1}{4}   = 0.25 = 25 %.

8 0
3 years ago
Can a triangle have two obtuse angles? please Justify your answer.
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Answer:

No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.

Step-by-step explanation:

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