What is the distance between (4,8), 6=y+ 2x

  2√5

Step-by-step explanation:

The formula for the distance between a point (x, y) and a line in general form, ax +by +c = 0 is ...

The general form of your equation for the line is ...

  2x +y -6 = 0

so the distance to point (x, y) = (4, 8) is ...

The distance between the point and line is 2√5.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

32

step-by-step explanation: