The distance between d and f is df = 4.795.
Given,
We are assuming e=d and df as the distance between d and f.
d(-7,-2) and f(11,3)
We need to find the distance of df.
The distance between two points (x_1, y_1) and (x_2, y_2) is given by:
[tex]\sqrt{(x_{2}- x_{1} )+ (y_{2} -y_{1}) }[/tex]
We have,
d(-7,-2) and f(11,3)
x_1 = -7
x_2 = 11
y_1 = -2
y_2 = 3
df = [tex]\sqrt{(11-(-7))+(3-(-2))}[/tex]
Removing the brackets inside the square root
= square root ( 11 + 7) + ( 3 + 2 )
= square root (18 + 5)
= square root 23
The square root of 23 is 4.795.
= 4.795
Thus the distance between d and f is df = 4.795.
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