A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function comp
1 answer:
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<em>Note: Since you missed to add the figure. So, after a little research I am kind of able to find the figure and hence, assuming it as a reference. Hence, I am attaching the figure and solution of that figure is also visible in the same figure.</em> Please check the attached figure (a)
Answer:
Segment B'D' will be parallel to segment BD and will be shorter than segment BD. Please see the attached figure (a) for better understanding.
Step-by-step explanation:
As we know that there are certain rules when a quadrilateral is dilated by a certain scale centered around a certain point.
So,
Let suppose P(a, b) is the point.
The dilation rule by a scale factor of 1 over 3 or (1/3) centered around (1, 2) is
P(a, b) →
Hence,
A(1, 2) → A'(1, 2)
B(2, 3) → B'(4/3, 7/3)
C(4, 2) → C'(2, 2)
D(2, 1) → D'(4/3, 5/3)
The attached figure show that if we draw the all these points in the coordinate plan i.e. A(1, 2), B(2, 3), C(4, 2), D(2, 1) and A'(1, 2), B'(4/3, 7/3), C'(2, 2), D'(4/3, 5/3), we can determine that Segment B'D' will be parallel to segment BD and will be shorter than segment BD.
<em>Keywords: dilation, quadrilateral, segment</em>
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Answer: The correct option is C.
Explanation:
A function is called an odd function if,
It means if the points are in the form of (x,y) then (-x,-y) is also in the graph.
Reason for correct option:
In option C, a point (1,2),
It means,
And we have another point (-1,-2).
The other points are (2,3),(-2,-3),(3,-1),(-3,1),(4,0),(-4,0). Therefore the function is an odd function.
Reason for incorrect option:
In option A, a point is (1,3), therefore the value of function at x = -1 should be -3.
But the value of function is 1 at x=-1, therefore it is not an odd function.
In option B, a point is (1,0), therefore the value of function at x = -1 should be 0.
But the value of function is -3 at x=-1, therefore it is not an odd function.
In option D, a point is (1,-1), therefore the value of function at x = -1 should be 1.
But the value of function is -1 at x=-1, therefore it is not an odd function.