Respuesta :

Answer:

I could draw it out but the answer is 8.5!!

Step-by-step explanation:

a squared + b squared = c squared

so a is 8 and b is 3, c is the distance of the two

8 squared = 64

3 squared = 9

64 + 9 = c squared

73 = c squared

to remove an exponent of two, find the square root of the number (this can also be called finding the inverse). what you do to one side, do to the other

the square root of 73 = c

c = 8.5

brainliest appreciated, but happy to help!!

Answer:

[tex]They\ are\ 8.544\ feet\ apart[/tex]

Step-by-step explanation:

Step 1:  Determine the important information

Math teacher 8 feet in front

Science teacher 3 feet to the right

Step 2:  Determine how far apart the teachers are

Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]

[tex](8)^2+(3)^2=c^2[/tex]

[tex]64 + 9 = c^2[/tex]

[tex]73 = c^2[/tex]

[tex]\sqrt{73} = \sqrt{c^2}[/tex]

[tex]8.544=c[/tex]

Answer:  [tex]They\ are\ 8.544\ feet\ apart[/tex]