Answer:
-4
Step-by-step explanation:
y = x +b
6= 10 + b
b = 6 - 10
b = -4
The inequalities and the points are
- y + 2 ≤ 5x: (5, -2) and (10, 1)
- y + x > -4: (5, -2) and (10, 1)
- y ≤ 1/3x: (5, -2) and (10, 1))
<h3>How to graph the
system of inequalities?</h3>
The system of inequalities is given as:
y + 2 ≤ 5x
y + x > -4
y ≤ 1/3x
Next, we plot each inequality in the system of inequalities using a graphing calculator
See attachment for the graph of the system of inequalities y + 2 ≤ 5x, y + x > -4 and y ≤ 1/3x
From the attached graph, we have the following points:
y + 2 ≤ 5x: (5, -2) and (10, 1)
y + x > -4: (5, -2) and (10, 1)
y ≤ 1/3x: (5, -2) and (10, 1)
Read more about inequalities at:
brainly.com/question/24372553
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Answer:
D = rate x time
D = (rate of current + rate of boat) x time
168 = (y - x) t against the current trip upstreams
168 = (y + x) t with the current trip downstream
168 = (y - x) 4
168 = (y + x) 3.5
since 168 = 168, we can set the equations equal to each other:
(y - x)4 = (y+x)3.5
4y - 4x = 3.5y +3.5x
4y - 3.5y = 3.5x + 4x
0.5y = 7.5x
y =15x
the rate of the current is 15 times the rate of the boat.
168 =4(15x) - 4x
168 = 60x - 4x
168 = 56x
x = 3
y = 15x
y = 15(3)
y = 45
Step-by-step explanation:
Since the x-coordinate does not change, we know immediately that this straight line is a vertical one. It does not have a slope (div. by zero is undefined).
The equation of this vertical line is x=0.
The line has no y-intercept.
A line perpend. to the given line has a slope of 0.