If the 3 points are collinear, then the slopes of all line segments connecting the points are the same.
Thus,
-6 - (-8) 2
m = ------------- = -------- = -1/2
-7 - (-3) -4
Then the following must be true:
4-(-6) 10
-1/2 = ------------ = ---------
c - (-7) c + 7
Cross multiplying, -(c+7) = 20, and c+7 = -20, so that c = -27
Answer:
Step-by-step expla3
x
−
2
y
<
10
Solve for y
.
Tap for more steps...
y
>
−
5+
3
x
2
Find the slope and the y-intercept for the boundary line.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
−
5
)
Graph a dashed line, then shade the area above the boundary line since
y
is greater than
−
5
+
3
x
2
.
y
>
−
5
+3
x2
The answer would be:
93
+75
-------
168
It will take 20 people to paint 5 walls in 52/4 = 13 minutes
<span>so time for 20 people to paint 20 walls = 4 * 13 = 52 minutes</span><span>
Hope this satisfies your query! Have a good one :)</span>