Solve for x. 1) 6 2)3 3) 63 4) 32
1 answer:
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Since you're only asked the ordered pair of D'', it's much easier just to plot and reflect point D twice than to do that for all four points!
Remember that reflecting points is like putting a mirror at the line of reflection or flipping that point over at that line. The reflected point should be the same distance from the line of reflection as the original point.
1) Reflect D over the x-axis to get D'.
D is at (4,1). Draw a line that is perpendicular to the line of reflection and goes through D. D is as far from the line of reflection as D' should be on its other side (both are on that perpendicular line). Since D is 1 unit above the x-axis, that means D' is 1 unit below at (4, -1). See picture 1.
2) Reflect D' over <span>y=x+1 to get D''.
D' is at (4, -1). Draw </span>y=x+1 and the line perpendicular to it going through D''. D'' is the same distance from the line of reflection on the other side. See picture 2. D'' is at (-2, 5).
Answer: D'' is at (-2, 5)
Remember that reflecting points is like putting a mirror at the line of reflection or flipping that point over at that line. The reflected point should be the same distance from the line of reflection as the original point.
1) Reflect D over the x-axis to get D'.
D is at (4,1). Draw a line that is perpendicular to the line of reflection and goes through D. D is as far from the line of reflection as D' should be on its other side (both are on that perpendicular line). Since D is 1 unit above the x-axis, that means D' is 1 unit below at (4, -1). See picture 1.
2) Reflect D' over <span>y=x+1 to get D''.
D' is at (4, -1). Draw </span>y=x+1 and the line perpendicular to it going through D''. D'' is the same distance from the line of reflection on the other side. See picture 2. D'' is at (-2, 5).
Answer: D'' is at (-2, 5)
Answer:
Yes, Cam's costs proportional to the number of votes he receives.
Step-by-step explanation:
It is given that Cam is a corrupt politician. Nobody votes for him except those he pays to do so. It costs Cam exactly $100 to buy each vote.
Let the number of votes he get be x.
Then the total cost of Cam is
... (1)
Where, C is Cam's costs and x is number of votes he receives.
Two variables are proportional to each other if
... (2)
Where k is constant of proportionality.
Since equation (1) and (2) and similar and the constant of proportionality is 100, therefore we say that Cam's costs proportional to the number of votes he receives.
Answer:
192.67
Step-by-step explanation:
588 - 3X = 10
Collect like terms
588 - 10 = 3X
578 = 3X
Divide through by 3
578/3 = 3X/3
X = 192.67 or