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kirill115 [55]
3 years ago
13

If A=(0,0) and B=(6,3), what is the length of AB ?

Mathematics
2 answers:
motikmotik3 years ago
4 0
D(AB) = <span>√(6-0)^2 +(3-0)^2
d(AB) = </span><span>√36+9
d(AB) = </span><span>√45
d(AB) = 3</span><span>√5
or
d(AB) = 6.71

hope it helps</span>
lozanna [386]3 years ago
4 0

Answer:

6.71 units.

Step-by-step explanation:

We have been given coordinates of two points A(0,0) and B(6,3). We are asked to find the length of AB.

To find the length of Ab, we will use distance formula.

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let point (0,0)=(x_1,y_1) and (6,3)=(x_2,y_2).

Upon substituting coordinates of our given points in distance formula, we will get:

d=\sqrt{(6-0)^2+(3-0)^2}

d=\sqrt{(6)^2+(3)^2}

d=\sqrt{36+9}

d=\sqrt{45}

d=\sqrt{5\cdot 9}

d=\sqrt{5\cdot 3^2}

d=3\sqrt{5}

d=6.7082039\approx 6.71

Therefore, the length of AB is approximately 6.71 units.

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