What is the length of TH, when T (6, 9) and H (-4, -1)?

d = 10 sqrt(2)

Step-by-step explanation:

The distance formula is

d = sqrt( (y2-y1) ^2 + ( x2-x1)^2)

d = sqrt( (-1-9) ^2 + ( -4-6)^2)

d = sqrt( (-10) ^2 + ( -10)^2)

d = sqrt( 100+100)

d = sqrt(200)

d = sqrt( 200*2)

d = sqrt(100) sqrt(2)

d = 10 sqrt(2)

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents