Point (–1, –3) is mapped onto when rotated 180° counterclockwise about the origin. Question 9 options: A) (3, –1) B) (1, –3) C) (–1, 3) D) (1, 3)

D (1,3)

Step-by-step explanation:

(x,y) → (-x, -y)

Mapping rule for 180-degree

1. Multiply the x-coordinate by -1

2. Multiply the y-coordinate by -1

3. Simplify

29 is the correct answer

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