Consider the system of inequalities and its graph. y ≤ –0.75x y ≤ 3x – 2 In which section of the graph does the actual solution
to the system lie? 1 2 3 4
2 answers:
Answer:
The section shows below represents the solution of the system.
Step-by-step explanation:
Given system of inequalities,
y ≤ -0.75x,
y ≤ 3x - 2
Graphing y ≤ -0.75x :
Since, the related equation of y ≤ -0.75x is y = 0.75x
If x = 0, 1,
y = 0, 0.75,
Thus, join the points (0, 0) and (1, 0.75) in coordinate plane,
0 ≤ -0.75(0) ( true )
So, the shaded region will be contain the origin.
Graphing y ≤ 3x - 2 :
Since, the related equation of y ≤ 3x - 2 is y = 3x - 2
x = 0, y = - 2
y = 0, x = 2/3,
Thus, join the points (0, -2) and (2/3, 0) in coordinate plane,
0 ≤ 3(0) - 2 ( false )
So, the shaded region won't contain the origin.
Also, ' ≤ ' represents the solid line,
By the above explanation we can make the feasible region that shows the solution of the system ( shown below )
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Answer: The correct option is (A) reduction.
Step-by-step explanation: Given that the quadrilateral A'B'C'D' is a dilation of the quadrilateral ABCD.
As shown in the given figure, the lengths of the sides of quadrilateral ABCD are as follows:
AB = 5 units, BC = 4 units, CD = 10 units and DA = 6 units.
And, the lengths of the sides of quadrilateral A'B'C'D' are as follows:
We know that the dilation will be an enlargement if the scale factor is greater than 1 and it will be a reduction if the scale factor is less than 1.
Now, the scale factor is given by
Since the scale factor is less than 1, so the dilation will be a reduction.