Can someone please help me

the second option with y=2x+3

Step-by-step explanation:

the slope of a line is the ratio y/x (e.g. when x changes by 1 unit, y changes by how many units).

we see here, when x increases by 2 units, y increases by 4 units. so that ratio, the slope, is 4/2 or simply 2.

so the line is y = 2x + c

point A (0,3) tells us for x=0, y = 3, => c = 3

so, the line is y = 2x + 3

also look at the compared ratios of side lengths. you can only relate the equivalent sides of the similar triangles when comparing the ratios.

so, you can only relate DA with EA, for example, and not with e.g. suddenly CE.

the only correct approach is for multiple reasons the second option.

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

8

step-by-step explanation: