Aline segment has endpoints at (3, 2) and (2, –3). which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

Reflection over x axis

Step-by-step explanation:

Given : A line segment has endpoints at (3, 2) and (2, –3).

To Find: Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

Solution:

Rule of reflection over x axis

(x,y)→(x,-y)

Point (3,2) when reflected over x axis:

(3,2)→(3,-2) (using rule of reflection over x axis)

Point (2, –3)when reflected over x axis

(2,-3)→(2,-(-3))→(2,3) (using rule of reflection over x axis)

So, (2,-3)→(2,3)

Thus we can see that a line segment has endpoints at (3, 2) and (2, –3) when reflected over x axis then an image with endpoints at (3, –2) and (2, 3) will be produced.

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.