Question

Find the distance between the points E(3, 7) and F(6, 5). The exact distance between the two points is .

Answer 1

Answer:

$\sqrt{13}$

Step-by-step explanation:

The trick here is to know the distance formula (a formula that helps you find the distance between two points).

Distance formula: distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

But now that we know this, we can simply plug in our values and solve!

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\sqrt{(6-3)^2+(5-7)^2}\\\sqrt{(3)^2+(-2)^2}\\\sqrt{9+4}\\\sqrt{13}$

Now we can tell from our answer that the distance between both points is $\sqrt{13}$

Answer 2

We know that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:

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

Only with this, we can find that the distance between the two given points is $\sqrt{13} = 3.606$

Now let's see the operation:

In this particular case, we want to find the distance between the points E(3, 7) and F(6, 5), replacing these in the above equation we get:

$d = \sqrt{(3 - 6)^2 + (7 - 5)^2} = \sqrt{3^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13} = 3.606$

If you want to learn more, you can read:

https://brainly.com/question/12319416