Find the value of x
1 answer:
The correct answer is option C: 8
Step-by-step explanation:
We will use the mid-segment theorem of triangle to solve this problem.
We can see that the line which is represented by 2x-9 is the mid-segment of the triangle as it passes from mid-points of two sides of the triangle
The mid-segment theorem states that "Any line that passes through the mid-points of two sides of triangle is parallel to the third side and in length, it is half the length of the third side
In the given figure,
The length of line represented by 2x-9 will be half of 14
So,
Adding 9 on both sides
Dividing both sides by 2
Hence,
The correct answer is option C: 8
Keywords: Triangle, mid-points
Learn more about the mid-segment theorem at:
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Answer:
it must also have the root : - 6i
Step-by-step explanation:
If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.
This is because in order to render a polynomial with Real coefficients, the binomial factor (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:
where the imaginary unit has disappeared, making the expression real.
So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)
Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.