The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9 feet by 3 feet, but have different diagonal lengths. Which door will fit in the rectangular opening? Door 1 diagonal: 10 feet Door 2 diagonal: 3 StartRoot 10 EndRoot feet Door 3 diagonal: 6 StartRoot 2 EndRoot feet Door 4 diagonal: 12 feet Door 1 Door 2 Door 3 Door 4

step-by-step explanation:

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

the answer is

d.

5.3066 m2

step-by-step explanation: