Question

If a= (4,-5) and b= (7,-9), what is the length of ab

Answer 1

A (4,-5)
B (7,-9)

$AB= \sqrt{(x_A-x_B)^2+(y_A-y_B)^2} \\ x_A=4; \ \ x_B=7; \ \ y_A=-5; \ \ y_B=-9; \\ \\ AB= \sqrt{(4-7)^2+(-5-(-9))^2}= \sqrt{(-3)^2+4^2} = \sqrt{25}=5$

Answer 2

If a= (4,-5) and b= (7,-9) are given then the length of AB would be 5 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

$D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.$

The length of AB

AB = $\sqrt{(x_a- x_b)^2 +(y_a -y _b)^2}$

$AB = \sqrt{(4-7)^2 +(-9 - (7))^2} \\\\AB = \sqrt{(-3)^2 + 4^2} \\\\AB = 5$

Learn more about the distance between two points here:

brainly.com/question/16410393

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