Which expression is equivalent to 1/4x + 3 - 1/3x + (-2), A.) x+5, B.) 1/12x - 1, c.) x+1, d)1-1/12x
1 answer:
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we know that
the perimeter of the rectangle is equal to
where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem
Substitute the values in the formula above
therefore
the answer is
the length of the longer side of the rectangle is equal to
Answer:
1) The inequality for the given system are
y ≥ 4x - 4
y ≥ x - 1.5
2) The test point (0,0) satisfies both of the inequalities in the system represented by the graph.
Step-by-step explanation:
Given : A graph showing a system of inequalities.
We have to find the system of inequality.
For line 1)
The points that cut the x and y axis are (1,0) and (0,-4)
Thus, we can find the equation of line using two given point.
Since the general equation of line is y = mx + c
Where m is slope and c is y intercept
Slope is find as
Substitute, we get,
Slope is 4.
Thus, equation becomes y = 4x + c
For c put (0,-4) in the above equation , we have,
-4 = 4(0) + c ⇒ c = -4
Thus, equation becomes y = 4x - 4
For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region
For (0,0)
y = 4x - 4 becomes 0 = - 4 is satisfied when 0 > -4
thus, the inequality becomes y ≥ 4x - 4
Since, the line is a solid so it will take up equality sign too.
For line 2)
The points that cut the x and y axis are (1.5,0) and (0,-1.5)
Thus, we can find the equation of line using two given point.
Since the general equation of line is y = mx + c
Where m is slope and c is y intercept
Slope is find as
Substitute, we get,
Slope is 1.
Thus, equation becomes y = x + c
For c put (0,-1.5) in the above equation , we have,
-1.5 = (0) + c ⇒ c = - 1.5
Thus, equation becomes y = x - 1.5
For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region
For (0,0)
y = x - 1.5 becomes 0 = -1.5 is satisfied when 0 > - 1.5
thus, the inequality becomes y ≥ x - 1.5
Since, the line is a solid so it will take up equality sign too.
Thus, the inequality for the given system are
y ≥ 4x - 4
y ≥ x - 1.5
Also, The test point (0,0) satisfies both of the inequalities in the system represented by the graph.
