A person travels 10 miles due north, then 5 miles due west, then 14 miles due north and then 12 miles due east. How far is that person from their starting point?’ I will give brainlest to the best answer.

Step-by-step explanation:

North and Souths get added together. North is positive and South is negative.

East and West get added together. East is positive and West is negative.

This will get us two numbers for a triangle that we can make starting at the origin and ending where the two numbers take us.

10 miles north + 14 miles north = 24 miles north

10 + 14 = 24

5 miles west + 12 miles east = 7 miles east

-5 + 12 = 7

See attached image for picture and rest of work.

there is no question content here, but you for the free points! : d

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