Line l contains points (2,4) and (5,1). Point p has coordinates (1,1) find the distance between p to l

Mathematics

1 answer:

alexdok [17]3 years ago

4 0

Answer:

The distance ${\textbf{d}}=\frac{\bf{4}}{\sqrt{\bf2}}$

Step-by-step explanation:

To find Distance between Point and a Line

The distance between a point and a line, is defined as the shortest distance between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point.

The distance d from a point to the line ax+by+c=0 is

$d=\frac{|a(x_0)+b(y_0)+c|}{\sqrt(a^2+b^2)}$

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the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls

Inessa05 [86]

First, make up some variables to represent the number of Girls and Boys in the choir.

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:
$\frac{B}{G} = \frac{1}{4}$

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

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ad-work [718]

I think it’s probably 60

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4 years ago

For what values of t on the interval [0, 21 ]is the instantaneous velocity positive (the projectile moves upward)?

OLEGan [10]

Answer:

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Step-by-step explanation:

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hence for the interval 0 <=t <=21 the instantaneous velocity is positive (Note, instantaneous velocity is also the derivative of the velocity or the slope ).

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Thepotemich [5.8K]

Answer:
C) y=-1/4x

Explanation:

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3 years ago

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<h3>What are equivalent fractions</h3>

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