Find the solutions to the equation below check all that apply 4x2 -8x +3 =0
1 answer:
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ANSWER
The correct answer is
EXPLANATION
The number
is a rational number.
Since the set of rational numbers is closed under addition, the number that should be added to
should also be a rational number in order to get another rational number.
This means that, if we add a rational number to an irrational number we get an irrational number.
The only rational number in the options provided is
We add it to
to get
Note that,
Hence the result is a rational number.
As for the remaining options,
are irrational numbers, so adding them to
will not produce a rational number.
The correct answer is
EXPLANATION
The number
is a rational number.
Since the set of rational numbers is closed under addition, the number that should be added to
should also be a rational number in order to get another rational number.
This means that, if we add a rational number to an irrational number we get an irrational number.
The only rational number in the options provided is
We add it to
to get
Note that,
Hence the result is a rational number.
As for the remaining options,
are irrational numbers, so adding them to
will not produce a rational number.
<h3>Answer: 125</h3>
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Explanation:
Ignore lines BC and FE. It might help to redraw the figure without those lines present. Refer to the diagram below. Doing this is optional if you can spot what's going on without having to erase those lines.
Notice how angles 1 and 3 are congruent corresponding angles, due to lines FJ and DC being parallel.
Since angle 3 is 55 degrees, angle 1 is also 55 degrees.
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Once we determine angle 1, we subtract from 180 because angle ABF is supplementary to angle 1 (aka angle ABJ)
In other words,
(angle ABJ) + (angle ABF) = 180
angle ABF = 180 - (angle ABJ)
angle ABF = 180 - (angle 1)
angle ABF = 180 - (55)
angle ABF = 125 degrees