Jon drew a triangle with coordinates (5,1), (7,-2) and (3,-1) he drew an image of the triangle with the coordinates of (5,-1), (
2 answers:
Answer: C. Reflected over x axis
Step-by-step explanation:
When we reflect a figure over x-axis , then the magnitude of each corresponding coordinate remains same but the polarity of y-coordinate gets changed.
i.e. The rule for reflection across x-axis is :_
Given : Jon drew a triangle with coordinates (5,1), (7,-2) and (3,-1) he drew an image of the triangle with the coordinates of (5,-1), (7,2) and (3,1).
We can see that the magnitude of each corresponding coordinate remains same but the polarity of y-coordinate got change.
It means he made the image by reflecting it over x-axis.
Hence, C is the CORRECT answer.
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Answer:
The given point is a solution to the given system of inequalities.
Step-by-step explanation:
Again, we can substitute the coordinates of the given point into the system of inequalities. We know that the x-coordinate and y-coordinate of are
and
, respectively.
Plugging these values into the first inequality, , gives us
, which simplifies to
. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.
Plugging the coordinates into the second inequality, , gives us
, which simplifies to
. This is also a true statement, so the given point satisfies the second inequality as well. Therefore,
is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!