The point a(-2, 3) is translated using t: (x, y) → (x + 4, y + 2). what is the distance from a to a'? 2 5 2

For this case, we have that by definition, the distance between two points is given by:

We have to:

Substituting:

Distance between A and A' is 2√5.

Step-by-step explanation:

The given point A is translated to A' by using T: (x, y) → (x + 4, y+2).

We have to calculate the distance from A and A'

if A is (-2, 3) then the translated point A' will be ( -2+4, 3+2)≅(2, 5)

Now we can calculate the distance between A and A' by using the distance formula

Distance = √[(-2-2)²+(3-5)²] = √(-4)²+(-2)² = √16+4 = √20

              = 2√5

So the correct answer is distance = 2√5.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,