Answer:
Yes the graphs of the lines are in pair parallel.
Step-by-step explanation:
They are in pair parallel because they do not touch each other. To find the slope of the line that is parallel to 5x+2y=6...
The first thing to do is subtract 5x since its a positive so it would look like this:
5x+2y=6
<u> -5x =-5x</u>
Next you would divide by 2 on each side so the y can be isolated:
5x+2y=6
<u>-5x =-5x</u>
<u>2y</u> = <u>-5x + 6</u>
2 2
Lastly the 2 divided by 2 gets crossed out because they cancel each other out and divide -5x by 2 and 6 by 2 then you would be stuck with this:
y= -2.5x+3
So your parallel slope would be -2.5x.
Answer:
i believe its the third one don't quote me on that though
Step-by-step explanation:
They are all larger than 90 degrees, and in a triangle they would all be obtuse angles.
Y = x² + 7x - 4
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
