3 years ago

Find the length of each line segment, PLEASE HELP

Mathematics

1 answer:

dybincka [34]3 years ago

6 0

Step-by-step explanation:

the graphic shows us - the 2 end points are :

(-4, -4) and (4, -1)

the distance between these 2 points (= length of the line segment) is calculated via Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse and the distance between the 2 points. a and b are the legs of the triangle enclosing the 90 degree angle, as they are the differences between the x and the y coordinates of the points.

so,

distance² = (-4 - 4)² + (-4 - -1)² = (-8)² + (-3)² = 64 + 9 = 73

distance = sqrt(73) = length of line segment.

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Hi!

<em>I will write it like this to make it easier to see:</em>

<em />

$\frac{0}{35} - \frac{31}{35} - \frac{2}{35}$

Seeing this, we can right away take the $\frac{0}{35}$ away to make it easier, because 0/35 is 0. Now, we are left with:

$-\frac{31}{35} - \frac{2}{35}$

Since the denominators (the 35s) are the same, we do not have to mess with those. We simply subtract the numerators (-31 - 2) and we get -33. Therefore, your answer is :

$-\frac{33}{35}$