squirrelpee78
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HELP THIS IS DUE TODAY!!

Find the distance from the point P(4,1) to the line segment joining the points Q(1,-8) and R(-4,2). Show your steps.

Sagot :

Answer:

7,8

Step-by-step explanation:

Distance Formula:

The distance between two points is the length of the path connecting them. The shortest path distance is a straight line. In a 2 dimensional plane, the distance between points (X1, Y1) and (X2, Y2) is given by the Pythagorean theorem:

d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√

Calculate Distance

To calculate the distance between 2 points, (X1, Y1) and (X2, Y2), for example, (5, 6) and (-7,11), we plug our values into the distance formula:

d=(−7−5)2+(11−6)2−−−−−−−−−−−−−−−−−√

combining terms inside parentheses we get:

d=(−12)2+(5)2−−−−−−−−−−−√

squaring both terms we get,

d=144+25−−−−−−−√

adding the 2 results,

d=169−−−√

finally,

d=13

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