Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3
15x+40=115
15x+40-40=115-40
15x=75
15/15 x=75/15
x= 5
Answer:
Both
Step-by-step explanation:
22/7 is the fraction version of pi
Answer:
x=23°; θ=87°
Step-by-step explanation:
These two angles create what is known as supplementary angles, or 2 angles that add up to 180°. We know this because all horizontal lines are 180° on either side. Since we know the total value of these two angles should equate to 180°, we can set up a simple equation:

Now, using algebra, we can solve for x:



Plugging x back into the equation, we get:

Therefore, the total angle is equal to 87° and x is equal to 23°.
Hope this helps!
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)