Question

The distance of the point (-8,4) from the origin is​

Answer 1

Step-by-step explanation:

co-ordinate of origins (0,0)

distance b/w points = √{(0-8)²+(0-4)²}

= √{(-8)²+(-4)²}

= √(64+16)

= √80

= 4√5

....666.....

Answer 2

Point Given(x1,y1)=A(-8,4)

(-8,4)Point of Origin(x2,y2)=B(0,0)

Distance from A to B(AB)=

$\sqrt{(x2 - x1) ^{2} + (y2 - y1) {}^{2} }$

Putting Values of x2, x1, y2, y1 in the formula, we have

$\sqrt{(0 - ( - 8)) {}^{2} + (0 - 4) {}^{2} }$

=>

$\sqrt{(0 + 8) {}^{2} + (0 - 4) {}^{2} }$

$\sqrt{(8) {}^{2} + ( - 4) {}^{2} }$

$\sqrt{64 + 16}$

$\sqrt{80}$

$4 \sqrt{5}$

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