The steps to solving an inequality are: add or subtract from each side - multiply or divide both sides - simplify.
5x + 8 > -12
5x > -12 - 8
5x > -20
x > -20/5
x > -4
The answer is: x > -4
Answer:
y = 3/2x-5/2
Step-by-step explanation:
We have two points so we can write the equation for the line. (-1,-4) and (3,2)
First we can find the slope by using
m= (y2-y1)/(x2-x1)
m = (2- -4)/(3 - -1)
=(2+4)/(3+1)
= 6/4
= 3/2
Then put the slope into the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 3/2x+b
We will use the point (3,2) and substitute it into the equation to find b
2 = 3/2(3)+b
2 = 9/2 +b
Subtract 9/2 from each side
4/2 -9/2 = 9/2-9/2 +b
-5/2 = b
y = 3/2x-5/2
Answer:
Angle = 135°
Supplement of the Angle = 45°
Step-by-step explanation:
The complement of an angle, say "x", would be 90 minus that angle:
90 - x
The supplement of an angle, say "y", would be 180 minus that angle:
180 - y
Since we have 1 angle, let it be "x", and that angle is 3 TIMES the SUPPLEMENT of that angle, we can write:
x = 3(180 - x)
Now, we solve for the angle x:

So, the angle is 135°
The supplement of the angle is 180 - 135 = 45°
so this should help cause