whats the lenght between 3,2 and 7,8

Answer 1

To find the length between the points (3, 2) and (7, 8), you can use the distance formula:

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

Where:

• $(x_1,y_1)=(3,2)$
• $(x_2,y_2)=(7,8)$

Substituting the values into the formula:

$$d=\sqrt{(7-3{)}^2+(8-2{)}^2}$$

Calculating inside the parentheses:

$$d=\sqrt{(4{)}^2+(6{)}^2}$$

Now squaring the numbers:

$$d=\sqrt{16+36}$$

Adding the values:

$$d=\sqrt{52}$$

Now simplifying the square root:

$$d=\sqrt{4\times 13}=2\sqrt{13}$$

So, the length between the points (3, 2) and (7, 8) is $2\sqrt{13}$ or approximately $7.21$ units.