Which set of coordinates satisfies the equations 3x − 2y = 15 and 4x − y = 20?
2 answers:
Answer: The required set of co-ordinates that satisfies the given equations are (5, 0).
Step-by-step explanation: We are given to find the set of co-ordinates that satisfies the following equations :
We know that
the set of co-ordinates that will satisfy both equations (i) and (ii) will be the point of intersection of the straight lines represented by the equations.
From the graph, we note that
the straight lines represented by equations (i) and (ii) intersect at the point (5, 0).
Thus, the required set of co-ordinates that satisfies the given equations are (5, 0).
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Answer:
The following functions would move the graph of the function to the right on the coordinate plane.
C)
G)
Step-by-step explanation:
We need to check for those functions which shows a horizontal shift of graph to the right.
Translation Rules:
Horizontal shift:
If the function shifts
units to the left.
If the function shifts
units to the right.
Vertical shift:
If the function shifts
units to the up.
If the function shifts
units to the down.
Applying rules to identify the translation occuring in each of the given functions.
A)
Translation:
The translation shows a shift of 2 units to the left and 7 units down.
B)
Translation:
The translation shows a shift of 3 units down.
C)
Translation:
The translation shows a shift of 3 units to the right and 1 units up.
D)
Translation:
The translation shows a shift of 4 units up.
F)
Translation:
The translation shows a shift of 6 units to the left.
G)
Translation:
The translation shows a shift of 5 units to the right.