Y - y1 = m(x - x1)
y + 7 = (-1/8)(x - 9)
y + 7 = (-1/8)x + 1.125
Subtract 7 from both sides
y = -1/8x - 5.875
<span>Simplifying
-3.7 + w = 9.24
Solving
-3.7 + w = 9.24
Solving for variable 'w'.
Move all terms containing w to the left, all other terms to the right.
Add '3.7' to each side of the equation.
-3.7 + 3.7 + w = 9.24 + 3.7
Combine like terms: -3.7 + 3.7 = 0.0
0.0 + w = 9.24 + 3.7
w = 9.24 + 3.7
Combine like terms: 9.24 + 3.7 = 12.94
w = 12.94
Simplifying
w = 12.94</span>
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The given equation is
12x + 2y = 6
we would make this equation to look like the slope intercept equation.
12x + 2y = 6
If we subtract 12x from both sides of the equation, it becomes
12x - 12x + 2y = 6 - 12x
2y = 6 - 12x
2y = - 12x + 6
Dividing both sides of the equation by 2, it becomes
y = - 6x + 3
Thus, by comparing with the slope intercept equation,
slope = - 6
y intercept = 3
Answer:
In 9 days will the second warehouse have 1.5 times more coal than the first one
Step-by-step explanation:
The coal left in warehouses after x days can be found using the equation:
- first warehouse: 185 - 15x
- second warehouse= 237-18x
Let the second warehouse have 1.5 times more coal than the first one after n days then
- 1.5 ×(185 - 15n)=237-18n which gives:
- 277,5-22,5n=237-18n and
- 40,5=4,5n
- 9=n
He measured the height of the box to be 7 in. Then<span>, </span>Stephan drew a line from the center of one of the hexagons to each of its vertices and noticed that<span> all .</span>