Question

D

=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,
−
4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.

Answer 1

`(x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)\\\\=√((4 - 2)^2 + (3+4)^2)}\\\\=√(2^2 + 7^2) = √(4+49) = √(53)`