Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into thecorrect position in the answer box. Release your mouse button when the item is place. If you change your mind, dragthe item to the trashcan. Click the trashcan to clear all your answers.Using the transformation T: (x,y) → (x + 2 y + 1), find the distance named.B2A1 2 3 4 5-3 -2 -11AFind the distance ABE70 1413 4516171819

Answer 1

ANSWER

√10

EXPLANATION

The distance between two points (x1, y1) and (x2, y2) is:

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

Points A and B have coordinates: A(0,0) and B(1, 3). The distance between them is:

$\begin{gathered} d=\sqrt[]{(1-0)^2+(3-0)^2} \\ d=\sqrt[]{1^2+3^2} \\ d=\sqrt[]{1+9} \\ d=\sqrt[]{10} \end{gathered}$