Solve the quadratic equation numerically (using tables of x- and y- values). x squared + 5 x + 6 = 0 a. x = -3 or x = -2 c. x =
2 answers:
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The length of one segment is 15 cm and other segment is 60 cm
Step-by-step explanation:
Let x be the length of one segment and y be the length of other segment
Then according to given statement
x+y=75 Eqn 1
And
one the segments are four times the other
x=4y Eqn 2
Hence,
The length of one segment is 15 cm and other segment is 60 cm
Keywords: Linear Equation, Variables
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The solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)
<h3>How to determine the solution to the systems?</h3>The graph of the systems of inequalities is not given.
So, I would plot a new graph to answer this question.
The systems of inequalities are given as:
y − x > 1 and 2x + y ≤ 2
x + y ≥ -3 and 5x – y ≤ -3
2x – y ≤ -1 and x + 2y < 4
4x – 3y < 12 and x + 3y ≥ 6
Next, we plot these inequalities on a graph and write out the points of intersection.
From the attached graph, we have:
y − x > 1 and 2x + y ≤ 2 ⇒ (0.3, 1.3)
x + y ≥ -3 and 5x – y ≤ -3 ⇒ (-1, -2)
2x – y ≤ -1 and x + 2y < 4 ⇒ (0.4, 1.8)
4x – 3y < 12 and x + 3y ≥ 6 ⇒ (3.6, 0.8)
Hence, the solutions to the systems of inequalities are (0.3, 1.3), (-1, -2), (0.4, 1.8) and (3.6, 0.8)
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