The distance between the points C(-3,1) and D(5,6) is 10.3 units.
<u>Step-by-step explanation:</u>
Let us consider CD is a line segment.
The point C is (-3,1) and D is (5,6).
The Cartesian formula for line is used to find the length between the CD.
Distance between two points = .
The points are (-3,1) and (5,6).
=.
=
=.
=.
=.
=10.295 ≈ 10.3.
Distance between two points 10.3 units.
Step-by-step explanation:
Given the table:
Month f(x) = Number of imports g(x) = Number of exports
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
From the table, it is clear that:
Number of imports = number of month + 2
so
also
Number of exports = 2(number of month) + 1
so
Therefore, number of imports equals the number of month plus one. i.e. , which is a linear function.
If we compare it with slope-intercept form of the line
Then,
slope = m = 1
y-intercept = 2
Also number of exports equals is also a linear function.
i.e.
Here,
slope = m = 2
y-intercept = -1