Question

a mosaic will be created inside a form with the vertices (x(-20, - 15)), (y(5,5)) and (z(25, - 20)). what length of material in units on the scale - drawing is required for the edge of the mosaic? round the answer to the nearest tenth if necessary. enter your answer in the box. units

Explanation:

Step1: Recall distance formula

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

Step2: Identify points

Let $(x_1,y_1)=(-20,-15)$ and $(x_2,y_2)=(5,5)$.

Step3: Substitute values into formula

$d=\sqrt{(5-(-20))^2+(5 - (-15))^2}=\sqrt{(5 + 20)^2+(5+15)^2}=\sqrt{(25)^2+(20)^2}=\sqrt{625 + 400}=\sqrt{1025}$.

Step4: Calculate square - root

$\sqrt{1025}\approx32.0$

Answer:

$32.0$