The vertices of a triangle have coordinate A (-1,-2), B (2,3), and C (4, -6). When these coordinates are reflected over the line y = x, what are the
new coordinates A”, B”, and C” ?

Here is the formula:-

for the reflection in y=x line

p(x,y) P'(y,x)

so , after reflection :-

A (-1,-2) A''(-2,-1)

B (2,3) B''(3,2)

C (4,-6) C''(-6,4)

You can write as it is in your solution.

Thank me later.

Here is the formula:-

for the reflection in y=x line

p(x,y) P'(y,x)

so , after reflection :-

A (-1,-2) A''(-2,-1)

B (2,3) B''(3,2)

C (4,-6) C''(-6,4)

You can write as it is in your solution.

Thank me later.

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.