Answer:
Hello There!
Step-by-step explanation:
Equivalent expressions are expressions that work the same even though they look different.
Examples of two equivalent expressions are:
-4(x + 2) and 4x + 8
-2y+5y−5+8 and 7y+3
These are equivalent expressions as they have the same value.
hope this helps,have a great day!!
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Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.