Complete the statements about the figures shown in the graph.
2 answers:
Answer:
Quadrilateral ABCD reflect across x-axis to form quadrilateral A′B′C′D′.
Quadrilateral ABCD translate 7 units left and 1 unit down to form quadrilateral A'′B'′C′'D′'.
Step-by-step explanation:
From the given figure it is clear that the vertices of ABCD are A(3,4), B(4,3), C(5,1) and D(1,2).
The vertices of A'B'C'D' are A'(3,-4), B'(4,-3), C'(5,-1) and D'(1,-2).
The relation between ABCD and A'B'C'D' is defined by rule
Therefore, the quadrilateral ABCD reflect across x-axis to form quadrilateral A′B′C′D′.
The vertices of A''B''C''D'' are A''(-4,3), B''(-3,2), C''(-2,0) and D''(-6,1).
The relation between ABCD and A''B''C''D'' is defined by rule
Therefore, the quadrilateral ABCD translate 7 units left and 1 unit down to form quadrilateral A'′B'′C′'D′'.
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<h2>Answer: A. Both are rational.</h2>
Step-by-step explanation:
Although both expressions have square roots, the result of each square root is an integer, which can be expressed as a fraction.
In this sense:
Rational numbers are all numbers that can be represented as the quotient (division) of two integer numbers. This means they can be represented as a fraction in which the denominator is nonzero.
If we solve both expressions, we will be able to see that the result is an integer that can be expressed as a fraction with two integers:
The result is an integer
The result is an integer
Answer:
Slope = or -1
y = 6
Step-by-step explanation:
The equation given (y = 6 - x) is the same as saying
y = -1x + 6
Since we have a negative x variable and a positive 6 and would also be graphed the same. The only difference is that the second equation I just mentioned resembles the y = mx + b expression more. In this case the slope would be
Slope = or -1
While the y-intercept would be
y = 6 - x
y = 6 - 0
y = 6