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Naddik [55]
2 years ago
13

1. A(–6 , 2) , B(4 ,7) are endpoints of a line segment.

Mathematics
1 answer:
bulgar [2K]2 years ago
4 0

The length of the line AB as described by points A and B in the task content is; √125.

<h3>What is the length of the line?</h3>

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

Read more on length of a line;

brainly.com/question/1597347

#SPJ1

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