David is performing the following construction. Based on the markings that are present, what construction is he performing?
2 answers:
Answer:
Bisecting an angle
Step-by-step explanation:
David first draw an angle CAB i.e
Then draw an arc cutting AC at D and AB at E .
With E as centre , draw an arc then with D as centre draw an arc
Both the arcs will intersect at some point .
If we join point A to this intersecting point , we get an angle bisector of
So, based on the markings that are present , he is actually bisecting the angle.
An angle bisector is a line or line segment which bisects an angle into two equal parts .
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Given:
In a number, adding , then multiplying the result by
we get 8.
To find:
The unknown number.
Solution:
Let the unknown number be x.
According to the question,
Multiply both sides by .
Subtract from both sides.
Therefore, the required number is .
( + 4)(
- 4)
To solve this question you must FOIL (First, Outside, Inside, Last) like so
First:
(x^2 + 4)(x^2 - 4)
x^2 * x^2
x^4
Outside:
(x^2 + 4)(x^2 - 4)
x^2 * -4
-4x^2
Inside:
(x^2 + 4)(x^2 - 4)
4 * x^2
4x^2
Last:
(x^2 + 4)(x^2 - 4)
4 * -4
-16
Now combine all the products of the FOIL together like so...
x^4 - 4x^2 +4x^2 - 16
Combine like terms:
x^4 - 4x^2 +4x^2 - 16
- 4x^2 +4x^2 = 0
x^4 - 16 <<<This is your answer
Hope this helped!
~Just a girl in love with Shawn Mendes