Question

directions: type the correct answer in each box. spell all words correctly, and use numerals instead of words for numbers.

joe and julie are speaking on walkie talkies. joe has mapped his location on a coordinate grid, where each increment represents a distance of 1 mile. he is currently standing at (2,1). julie can hear his transmission when she is standing at the location represented by (6,6), but not past that.
assuming no other interference and the range being constant in any direction, the maximum range of the walkie talkies, rounded to the nearest hundredth, is miles.
if joe moves to (3,5) and julie moves to (10,8), will they be able to communicate on the walkie talkies? (yes or no)

Explanation:

Step1: Calculate the initial distance

Use the distance formula \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here, \((x_1,y_1)=(2,1)\) and \((x_2,y_2)=(6,6)\).

$$
LATEXBLOCK0
$$

\(\sqrt{41}\approx6.40\)

Step2: Calculate the new distance

Now, \((x_1,y_1)=(3,5)\) and \((x_2,y_2)=(10,8)\)

$$
LATEXBLOCK1
$$

\(\sqrt{58}\approx7.62\)

Since \(7.62>6.40\)

Answer:

The maximum range is \(6.40\) miles. No.