Answer:
135
Step-by-step explanation:
x = 135 by the vertical angles theorem
The answer depends on whether you're looking for the x or the y. If y, the answers are the ones on the left, and the x on the right.
1) -4x + 3y ≤ 15 -4x + 3y <span>≤ 15
</span><span> +4x +4x -3y -3y
3y </span>≤ 4x + 15 -4x <span>≤ -3y + 15
</span><span> --- --------- ---- ------------
3 3 -4 -4
y </span>≤ 4/3x + 5 x <span>≥ 3/4y + 11
2) -6x - 4y </span>< 12 -6x - 4y < 12<span>
+6x +6x +4y +4y
-4y </span>< 6x +12 -6x < 4y + 12<span>
---- ---------- ---- -----------
-4 -4 -6 -6
y </span>> -3/2 - 3 x > -2/3y - 2
To graph the line, we must first find out the equation for the line in slope-intercept form (y = mx + b). So far, we only have the slope, so the line's equation is y = 3/4x + b. But, by inserting the values of x and y in the point we know, we can find the y - intercept.
4 = 3/4 + b
b = 13/4
That means that the equation of our line is y = 3/4x + 13/4. Now we can graph. But, there is another way to go about (slightly faster too). Since we know the coordinates of 1 point, we can put that line down. Then, since we know that slope is rise over run, we can say, that with a slope of 3/4, one would go 3 points up for every 4 to the right. Now we can go 3 points up and 4 points to the right of point (1,4). That would be (5, 7). Now we can graph (since we have 2 points, or an equation).
The graph looks like this:
Answer:
The correct option is c.
Step-by-step explanation:
The given equation is
The given inequality is
A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),
This statement is false, therefore option a is incorrect.
Check the point (-3,0),
This statement is false, therefore option b is incorrect.
Check the point (3,3),
This statement is true, therefore option c is correct.
Check the point (-3,-3),
This statement is false, therefore option d is incorrect.