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.

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.