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stellarik [79]
4 years ago
15

We can find the length of FG using the Distance Formula:

Mathematics
2 answers:
Flauer [41]4 years ago
8 0
Also, FG=(2)^2+(-4)^2
FG=4+16
FG=20
so see which ones end up with 20

not A
not B
not C
D is the answer
Elza [17]4 years ago
3 0

Answer:   D. FG^2 = 4^2 + 2^2

Step-by-step explanation:

Given: We can find the length of FG using the Distance Formula:

[Distance formula to find length of line from point (x_1,y_1) to point (x_2,y_2 is given by :-

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2})\\\\\Rightarrow d^2=(x_2-x_1)^2+(y_2-y_1)^2]

FG^2 =(3 - 1)^2 + (-1 - 3)^2

Since, 3-1=2 and -1-3=-(1+3)=-4

Therefore,  FG^2 =(2)^2 + (-4)^2=2^2+((4)(-1))^2=2^2+4^2(-1)^2=2^2+4^2

Hence, the formula also represents the length of FG is FG^2 = 4^2 + 2^2.

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