Can someone help me? you might get a crown
1 answer:
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Answer:
x ≤ 7 => +
x ≤ 8 => - +
≥ -
x ≤ -5 => - -
x ≤ -6 => + 105 ≤ 96
Step-by-step explanation:
- +
≥ -
+
≥
/ *10
2 + 6 ≥ x
8 ≥ x
- -
/ *6
- 100x - 11 ≥ 489
-500 ≥ 100x
-5 ≥ x
+ 105 ≤ 96
≤ 96 - 105 / *
x ≤ -6
+
/*18
-13x + 10 ≥ - 81
-13x ≥ -91 /:-13
x ≥ 7
To solve this, we must first put both lines in Slope Intercept Form (y=mx+b where m is the slope and b is the y-intercept).
y=3x-5 is already in SIF, so we only need to work on the other one.
x+3y=6
-x -x
3y=-x+6
/3 /3
y=-1/3x+2
Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.
When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.
Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.
y=3x-5 is already in SIF, so we only need to work on the other one.
x+3y=6
-x -x
3y=-x+6
/3 /3
y=-1/3x+2
Now we have both equations in slope intercept form, so we can start graphing from the y-intercepts and just follow the slopes.
When we do this, we will see that the lines meet at an exactly 90° angle. When a pair of lines does this, it means they are perpendicular.
Below I have attached an image that has both lines graphed so that you may visualize it. The green dots show the slopes, while the highlighted areas show the y-intercepts. Note that the lines intersect at a 90° angle, making them perpendicular.