Question

if you have points (3, 4) and (7, 8), what is the distance between them?
a. $sqrt{32}$
b. 4
c. 10
d. $sqrt{2}$

Explanation:

points
Let $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(7,8)$.
$d=\sqrt{(7-3)^2+(8-4)^2}$

Step3: Calculate differences and squares

$d=\sqrt{(4)^2+(4)^2}=\sqrt{16+16}$

Step4: Simplify the expression

$d=\sqrt{32}$

Answer:

points
Let $(x_1,y_1)=(3,4)$ and $(x_2,y_2)=(7,8)$.
$d=\sqrt{(7-3)^2+(8-4)^2}$

Step3: Calculate differences and squares

$d=\sqrt{(4)^2+(4)^2}=\sqrt{16+16}$

Step4: Simplify the expression

$d=\sqrt{32}$