Explanation
As you can see all the possible answers have the same form:
By looking at the picture you'll notice that the graph of g(x) has to pass through the point (2,1). Remember that the points in the graph of g(x) have the form (x,g(x)). Since (2,1) is part of the graph of g(x) then we have the following:
So let's evaluate the expression for g(x) that we wrote before at x=2. This way we'll obtain an equation for the number a:
Then we can divide both sides by 4:
Then we get:
Answer
Then the answer is option A.
Answer:
10
Step-by-step explanation:
country carpets: y = 22x + 100
City carpets: y = 25x + 70
22x + 100 = 25x + 70
I could be wrong but I hope this helps!
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)
Answer:
b, c, and d
Step-by-step explanation:
b and c are rhombuses and d is a trapezoid. rhombuses are not rectangles, nor are trapezoids.
