Answer:
1) A. i and ii
Explanation: We all know that on finding the distance of two points, we needed the formula [tex]d = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} -y_{1})^{2} }[/tex].
2) A. 13. 04
Explanation:
[tex]d = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]d = \sqrt{(7 -(-4) )^{2} + (15 -8)^{2} }[/tex]
[tex]d = \sqrt{11^{2} + 7^{2} }[/tex]
[tex]d = \sqrt{121 + 49 }[/tex]
[tex]d = \sqrt{170 }[/tex]
[tex]d = 13.038\\d \thickapprox 13.04[/tex]
3) B. 5
Explanation:
[tex]d = \sqrt{(x_{2} -x_{1} )^{2} + (y_{2} -y_{1})^{2} }[/tex]
[tex]25= \sqrt{(18 -3)^{2} + (-15 -y)^{2} }[/tex]
y = -35, 5
y = 5
4) C. (-5, 2)
Explanation:
[tex]13= \sqrt{((7-(-5))^2+(-3-2)^2} \\[/tex]
13 = 13 TRUE
5) C. [tex]\sqrt{61 }[/tex]
Explanation:
[tex]d = \sqrt{(-5 -0 )^{2} + (-6-0)^{2} }[/tex]
[tex]d = \sqrt{(-5 )^{2} + (-6)^{2} }[/tex]
[tex]d = \sqrt{25+ 36 }[/tex]
[tex]d = \sqrt{61 }[/tex]
6) B. 8
Explanation:
|7 - (-1) | = 8, and 8 is the distance of the coordinates.
7) A. 15
Using the distance formula, the distance between two points is 15 units.
8) C. [tex]\sqrt{45}[/tex]
Using the distance formula, the distance between two points is [tex]\sqrt{45}[/tex] or [tex]3\sqrt{5}[/tex].
9) C. [tex]2\sqrt{65}[/tex]
Using the distance formula, the distance between the two points is [tex]2\sqrt{65}[/tex].
