Question

01) Qual a distància dos portos em cada item a seguir
a. A= (-3,2) e
B=(-8,-10)
b. A=(8,1) e B=(-7,9).
C. A = ( 14, 2) e B=
( 12 - 4).​

Answer 1

a)

$d_{A,B}=\sqrt{{(-8+3)}^{2}+{(-10-2)}^{2}}$

$d_{A,B}=\sqrt{25+144}=\sqrt{169}=\bf{13}$

b)

$d_{A,B}=\sqrt{{(8-[-7])}^{2}+{(9-1)}^{2}}$

$d_{A,B}=\sqrt{225+64}=\sqrt{289}=\bf{17}$

c)

$d_{A,B}=\sqrt{{(14-12)}^{2}+{(2+4)}^{2}}$

$d_{A,B}=\sqrt{4+36}=\sqrt{40}=\bf{2\sqrt{10}}$

Answer 2

Explicação passo-a-passo:

A= (-3,2) e B=(-8,-10)

A= (-3,2)

xa=-3

ya=2

(-8,-10)

xb=-8

yb=-10

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{( - 3 + 8) {}^{2} + (2 + 10) {}^{2} }$

$d = \sqrt{(5) {}^{2} + (12) {}^{2} }$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

d=>13

A=(8,1) e B=(-7,9)

A=(8,1)

xa=8

ya=1

A=(8,1)

xb=8

yb=1

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{(8 + 7) {}^{2} + (1 - 9) {}^{2} }$

$d = \sqrt{(15) {}^{2} + ( - 8) {}^{2} }$

$d = \sqrt{225 + 64}$

$d = \sqrt{289}$

d=>17

A = ( 14, 2) e B=( 12 - 4)

A = ( 14, 2)

xa=14

ya=2

B=( 12 - 4)

xb=12

yb=-4

$d = \sqrt{(xa - xb) {}^{2} + (ya - yb) {}^{2} }$

$d = \sqrt{(14 - 12) {}^{2} + (2 + 4) {}^{2} }$

$d = \sqrt{(2) {}^{2} + (6) {}^{2} }$

$d = \sqrt{4 + 36}$

$d = \sqrt{40}$

$d = \sqrt{2 {}^{2} \times 10}$

$d = \sqrt{2 {}^{2} } \sqrt{10}$

d=>2√10