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What is the distance of AB rounded to the nearest tenth and why?

What is the distance of AB rounded to the nearest tenth and why?-example-1

2 Answers

2 votes

Answer:

The distance of AB rounded to the nearest tenth is:

2.8 units

Explanation:

We know that the distance between the two points :


(x_1,y_1)\ and\ (x_2,y_2) is calculated using the distance formula as:


d=√((x_2-x_1)^2+(y_2-y_1)^2)

Here point A lie at (-3,1) and point B lie at (-1,-1)

Hence, the distance between A and B is given by:


d=√((-3-(-1))^2+(1-(-1))^2)\\\\d=√((-2)^2+2^2)\\\\d=√(4+4)\\\\d=√(8)\\\\d=2.8284

which to the nearest tenth is:


d=2.8\ units

User Train
by
6.5k points
4 votes

Answer:

Distance is 2.83 units

Explanation:

We are given a straight line on graph and asked to find its length using Distance Formula. The Distance formula is given as under


D=√((y_2-y_1)^2+(x_2-x_1)^2)

Where


(x_1,y_1) = (-3,1))


(x_2,y_2) = (-1,-1)

Putting these values in Distance Formula we get


D=√((1-(-1))^2+(-3-(-1))^2)


D=√((2)^2+(-2)^2)


D=√(4+4)


D=√(8)


D=2√(2)


D=2 \time 1.414


D=2.828

User Amia
by
7.0k points
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