1. Point A(-5,8) is reflected across the line y = x. What are the coordinates of A'? Show your work and explain.
1 answer:
Answer:
The coordinates of A'(8,-5)
Step-by-step explanation:
we know that
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places
so
The rule of the reflection across the line y=x is
(x,y) -----> (y,x)
we have the point A(-5,8)
Applying the rule of the reflection across the line y=x
A(-5,8) ----> A'(8,-5)
see the attached figure to better understand the problem
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Given:
Last year Lira earned $12,000 less than her husband Todd.
Together they earned $75,000.
To find:
The amount earned by Lira in last year.
Solution:
Let x be the amount earned by Lira's husband inn last year.
Last year Lira earned $12,000 less than her husband Todd.
Amount earned by Lira =
Total amount earned by Lira and her husband =
=
Together they earned $75,000.
Now,
Amount earned by Lira =
=
=
Therefore, the amount earned by Lira in last year is $31500.