the answer is 10 units
[tex]distance = \sqrt{(9 - 1) ^{2} + (9 - 3) {}^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = 10[/tex]
The distance between points (1, 3) and (9, 9) will be 10 units so option (b) will be correct.
A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
For instance, in this case (5,3), 5 will represent the x and 3 the y.
(9,0) is another illustration, where 9 stands for x and 0 for y.
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
The distance between two points (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
So,
Distance between (1, 3) and (9, 9)
[tex]d = \sqrt {\left( {1- 9 } \right)^2 + \left( {3 -9 } \right)^2 }[/tex]
d = √(64 + 36) = 10 units.
Hence, The distance between points (1, 3) and (9, 9) will be 10 units
For more about coordinates,
brainly.com/question/7869125
#SPJ2
