Question

edia | untitled assignment

1. find the distance between the two points. write your

answer as a decimal rounded to the hundredths place if
needed.
(0, 1) and (7, 10)

Explanation:

Step1: Recall distance formula

The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:
$$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$$

Step2: Substitute point values

Let $(x_1,y_1)=(0,1)$ and $(x_2,y_2)=(7,10)$. Substitute into the formula:
$$d = \sqrt{(7-0)^2 + (10-1)^2}$$

Step3: Calculate squared differences

Compute each squared term:
$$d = \sqrt{7^2 + 9^2} = \sqrt{49 + 81}$$

Step4: Sum and simplify square root

Add the terms inside the root, then compute the square root:
$$d = \sqrt{130} \approx 11.40$$

Answer:

11.40