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blsea [12.9K]
3 years ago
14

Question 3 (1 point

Geography
1 answer:
Virty [35]3 years ago
6 0

Answer:

AB = 5.8 units

Explanation:

The distance of line segment AB shown in the attachment below can be calculated using the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, assuming that each box in the graph equals 1 unit.

A(2, 4)

B(-3, 1)

Let,

A(2, 4) = (x_1, y_1)

B(-3, 1) = (x_2, y_2)

Plug in the values into the distance formula

d = \sqrt{(-3 - 2)^2 + (1 - 4)^2}

d = \sqrt{(-5)^2 + (-3)^2}

d = \sqrt{25 + 9}

d = \sqrt{34}

d = 5.8 (nearest tenth)

AB = 5.8 units

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torisob [31]

The circumference of circle is 20.096 units

<em><u>Solution:</u></em>

Given that circle has a diameter  with endpoints at (10, 8)  and (5, 4)

To get the diameter, find the distance between the end points

<em><u>The distance between two points is given by formula;</u></em>

d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}

Here the points are (10, 8)  and (5, 4)

(x_1, y_1) = (10, 8)\\\\(x_2, y_2) = (5, 4)

Substituting the values we get,

\begin{aligned}&d=\sqrt{(5-10)^{2}+(4-8)^{2}}\\\\&d=\sqrt{(-5)^{2}+(-4)^{2}}=\sqrt{25+16}=\sqrt{41}\end{aligned}

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<em><u>The  circumference of the circle is given by formula:</u></em>

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