Graph a.
3x+2y=12
-3x -3x
2y=-3x+12
2/2y=(3x+12)/2
y=-1.5x+6
graph b.
4x-y=5
+y +y
4x=y+5
-5 -5
4x-5=y
c) 11 units is the difference between y-coordinates of graph a and y-coordinates of graph b.
e) at (6,-3) x=6 cuts into graph a
You can determine if a triangle on the coordinate plane is a right triangle by using the Pythagorean Theorem<span />
1/16 would be your answer. I hope this helped!
Answer:
x = -3
Step-by-step explanation:
3x + 2 = x + 4(x + 2)
Get rid of the parentheses by using distribution
4 * x = 4x
4 * 2 = 8
3x + 2 = x + 4x + 8
Combine like terms
x + 4x = 5x
3x + 2 = 5x + 8
Isolate the x
3x + 2 = 5x + 8
-2 -2
3x = 5x + 6
-5x -5x
-2x = 6
Now, simplify it
-2x = 6
---- -----
-2 -2
x = -3
The explicit rule for the geometric sequence is in the form,
an = (a1)^(r -1)
where an is the nth term, a1 is the first term, and r is the common ratio. Substituting the known terms from the given above, we arrive to the explicit form of the sequence which is,
an = 49^(3 - 1)
