PLS ANYONE HELP THIS IS HARD WLHI Suppose we apply a dilation by a factor of 3, centered at the point P to the figure below.

Tessa says the relationship between segment AC and segment A’C’ is that they are parallel.
 
DJ says the line segments fall on the same line.
 
Who is correct and why?

A. DJ because the line segment does pass through the center of dilation and therefore its image falls on the same line as the pre-image.

B. Tessa because the line segment does not pass through the center of dilation and therefore its image is parallel to the pre-image.

C. DJ because the line segment does not pass through the center of dilation and therefore its image falls on the same line as the pre-image.

D. Tessa because the line segment does pass through the center of dilation and therefore its image is parallel to the pre-image.

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

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west