The value of (i) is 14.76 units, (ii) is 9.43 units, (iii) is 5.38 units and (iv) is 10.44 units
The points given are
- (-4, 6) and (3, -7)
- (-6, -5) and (2, 0)
- (-1, 4) and (1, -1)
- (0, -8) and (3,2)
The Distance between Two Points
The formula of distance between two points is given as
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2- y_1)^2}[/tex]
Let's substitute the values for this
a)
[tex]d = \sqrt{(3 - -4)^2 + (-7- 6)^2}\\ d = \sqrt{7^2 + (-13)^2}\\ d = \sqrt{49 + 169}\\ d = \sqrt{218}\\ d = 14.76 units[/tex]
b)
[tex]d = \sqrt{(2 - -6)^2 + (0 - -5) ^2}\\ d = \sqrt{8^2 + 5^2}\\ d = \sqrt{89}\\ d = 9.43 units[/tex]
c)
[tex]d = \sqrt{(1--1)^2 + (-1 -4)^2} \\d = \sqrt{2^2 + (-5)^2} \\d = \sqrt{4 + 25}\\ d = \sqrt{29} \\d = 5.38 units[/tex]
d)
[tex]d = \sqrt{(3 - 0)^2 - (2 - -8)^2} \\d = \sqrt{3^2 + 10^2}\\ d = \sqrt{9+ 100} \\d = \sqrt{109} \\d = 10.44 units[/tex]
Learn more on distance between two points here;
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