If a translation maps point (3, 2) to (5, 3); or t: (3, 2) (5, 3), indicate the image for (2, 4).
(4, 5)
(0, 3)
(5, 3)

A. (4,5)

Step-by-step explanation:

We are given that,

A translation maps the point (3,2) to (5,3).

So, we see that,

(3,2) + (2,1) = (3+2,2+1) = (5,3).

So, the given translation is (x,y) changes to (x+2,y+1).

Then, the co-ordinates of the image of (2,4) are,

(2,4) + (2,1) = (2+2,4+1) = (4,5)

Hence, the image of (2,4) is (4,5).

Thus, option A is correct.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .