The point (-7,4) is reflected over the line x=-3. then the resulting point is reflected over the line y=x. where is the point located after both reflections

  (4, 1)

Step-by-step explanation:

Since the first reflection is over the vertical line x=-3, the y-coordinate remains the same. The x-coordinate of A' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

  (-3, 4) = (A +A')/2

  2(-3, 4) -A = A' = (-6-(-7), 8 -4) = (1, 4)

The reflection over the line y=x simply interchanges the two coordinate values:

  A'' = (4, 1)

The point (-7,4) upon reflection over the lines x = -3 and y = x would be at point; (4,1).

According to the question;

For the first reflection;

However, the x-coordinate of P' will make the point (-3, 4) on the line of reflection be the midpoint between A and A':

For the second reflection;

Ultimately, the point P'' = (4, 1)

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hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~