I need help please If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.

3 units down would be subtracting 3 from the  Y values and 4 units left would be subtracting 4 from the X values

Point A is at (2,-1)

The new point would be at (2-4, -1 -3) = (-2,-4)

Point B is at (1,-4)

The new point would be at (1-4, -4 -3) = (-3,-7)

Point C is at (3,-5)

The new point would be at (3-4, -5-3) = (-1,-8)

Point D is at (5,-3)

The new point would be (5-4, -3-3) = (1,-6)

So the new location would be:

A' (-2,-4)

B' (-3,-7)

C' (-1,-8)

D' (1,-6)

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

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation: