XYZ has coordinates X(2, 3), Y(1,4), and Z(8,9). A translation maps X to X'(4,7). What are the coordinates for Y' and Z' for this translation?​

The coordinates are and .

Step-by-step explanation:

First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:

(1)

Where is the vector translation.

If we know that and , then the vector translation is:

Then, we determine the coordinates for Y' and Z':

The coordinates are and .

positive

step-by-step explanation:

the quadrant is facing upwards

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a