It is to be noted that the Graph of the indicated inequalities is herewith attached.
<h3>What is the graph of the system?</h3>As indicated above, this is a graph of a system of inequalities, where:
Y > -4x-1 and
y <3/2x-1
<h3>Is the point (-1,1) included in the solution area for the system? </h3>No. the point (-1, 1) is not included in the solution area for the system.
<h3>Step 1 - Plug in (-1, 1) in to the first equation. where y = -1 and x = 1.
Hence,
-1 > -4(1) -1
4 +1 < -1
4 < 0 (This is False)
Step 2 - Plug in (-1, 1) in to the second equation. where y = -1 and x = 1.
-1 < (3/2)(1) - 1
-1 < 1/2 (This is true).
Thus (-1, 1) is only partially included in the solution area.)
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Answer:
For x = 10, the lines will be parallel
Step-by-step explanation:
<em><u>For parallel lines in a triangle, their sides must be proportional</u></em>
And,
<em>Cross Multiplying</em>
=> x(x+4) = (x-3)(x+10)
=>
=>
=> 3x = 30
<em>Dividing both sides by 3</em>
=> x = 10
Solving the equation we get:
Step-by-step explanation:
We need to solve the equation:
Solving:
Taking LCM of 9 and 4 we get 36
So, solving the equation we get
In the first blank, in denominators we get 36 and in the second black we get
So, answer is:
Keywords: Solving Fractions
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