What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4? (-8, -6) (4, -6) (4, -
3) (-6, 8)
1 answer:
Answer:
(-6,8)
Step-by-step explanation:
Plot the point P(0,0) and draw the vertical line x=-3.
If point P is reflected across this vertical line, then the image point B has coordinates (-6,0).
Draw horizontal line y=4. If point B is reflected across this horizontal line, then the image point C has coordinates (-6,8) (see attached diagram for details).
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Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
