Answer:
The answers are that the x-coordinate is 3, the y-coordinate is 4 and it is in quadrant I
Step-by-step explanation:
To find these answers, start by solving the system. We can do this by multiplying the second equation by 2 and adding them together.
8x + 6y = 48
4x - 6y = -12
-------------------
12x = 36
x = 3
Next, find the y value by plugging in the x value to either equation and solving.
2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -12
y = 4
Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
Answer:
See below.
Step-by-step explanation:
You have already drawn the line x = -1 . This is the vertical line passing through the point F.
So if we reflect across this line, F will stay where it is at (-1,-1) (because F is on the 'mirror'). E is 3 units in front of the line so is reflected 3 units the other side.
The image of E, E' will be at (2, -3). The image of G, G' will be at (-2,-3).
(x + 11) *squared* +(y-12) *squared* = 49
Answer:
c² - 63
Step-by-step explanation:
4c - 10 = 30
3c ÷ 3 = 10
c² - 63 = 37
c² ÷ 10 = 10
Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.
c + 25 < 37
I hope this helps you :D
