What is the distance between the points (3, 4) and (6, 8)?

What is the distance between the points (3, 4) and (6, 8)?

• A. 3
• B. 5
• C. 7
• D. 10

Answer: (B)

To find the distance between the two points (3, 4) and (6, 8), we can use the distance formula, which is derived from the Pythagorean theorem. The formula is given by: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] In this case, the coordinates are: - \( (x_1, y_1) = (3, 4) \) - \( (x_2, y_2) = (6, 8) \) Substituting the values into the formula: \[ d = \sqrt{(6 - 3)^2 + (8 - 4)^2} \] Calculating each part step-by-step: 1. Calculate \( x_2 - x_1 \): \[ 6 - 3 = 3 \] 2. Calculate \( y_2 - y_1 \): \[ 8 - 4 = 4 \] 3. Now, substitute these results back into the formula: \[ d = \sqrt{(3)^2 +

To find the distance between the two points (3, 4) and (6, 8), we can use the distance formula, which is derived from the Pythagorean theorem. The formula is given by:

[

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

]

In this case, the coordinates are:

• ( (x_1, y_1) = (3, 4) )

• ( (x_2, y_2) = (6, 8) )

Substituting the values into the formula:

[

d = \sqrt{(6 - 3)^2 + (8 - 4)^2}

]

Calculating each part step-by-step:

1. Calculate ( x_2 - x_1 ):

[

6 - 3 = 3

]

2. Calculate ( y_2 - y_1 ):

[

8 - 4 = 4

]

3. Now, substitute these results back into the formula:

[

d = \sqrt{(3)^2 +