Question

Calcule a distância entre os pontos: a) A(2,7) e B(2,4)=

b) A(3,-3) e B(3,5)=

c) A(3,4) e B(-2,4)=

d) A(-4,-2) e B(0,2)=​
me ajudeeeeeee ​

Answer 1

Explicação passo-a-passo:

a) A(2,7) e B(2,4)

xa=2

ya=7

xb=2

yb=4

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

$d = \sqrt{(2 - 2) {}^{2} + (7 - 4) {}^{2} }$

$d = \sqrt{0 {}^{2} + 3 {}^{2} }$

$d = \sqrt{0 + 9}$

$d = \sqrt{9}$

$d = > 3$

b) A(3,-3) e B(3,5)

xa=3

ya=-3

xb=3

yb=5

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

$d = \sqrt{(3 - 3) {}^{2} + ( - 3 - 5) {}^{2} }$

$d = \sqrt{0 {}^{2} + (-8) {}^{2} }$

$d = \sqrt{0 + 64}$

$d = \sqrt{64}$

$d = > 8$

c) A(3,4) e B(-2,4)

xa=3

ya=4

xb=-2

yb=4

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

$d = \sqrt{(3 + 2) {}^{2} + (4 - 4) {}^{2} }$

$d = \sqrt{5 {}^{2} + 0 {}^{2} }$

$d = \sqrt{25 + 0}$

$d = \sqrt{25}$

$d = > 5$

d) A(-4,-2) e B(0,2)

xa=-4

ya=-2

xb=0

yb=2

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

$d = \sqrt{( - 4 - 0) {}^{2} + ( - 2 - 2) {}^{2} }$

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

$d = \sqrt{16 + 16}$

$d = \sqrt{32}$