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Rudiy27
3 years ago
14

Which of the following represents the line of symmetry of the parabola represented by the equation x2 - 10x + 21 = 0?

Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

Let us first define line of symmetry of parabola :

It is the line of symmetry of a parabola that divides a parabola into two equal halves that are reflections of each other about the line of symmetry. It intersects a parabola at its vertex. It is a vertical line with the equation of x = -b/2a.

So using the formula x=-b/2a, we can find the line of symmetry of parabola here.

We are given the equation:

x^{2} -10x+21 =0

If we compare it with the quadratic equation :

ax^{2} +bx+c=0

we get a=1, b=-10 and c=21

Now plugging the values of a and b in the formula x=-b/2a,

x= \frac{-b}{2a}

x= \frac{-(-10)}{2(1)}

x=5

So the line of symmetry of given parabola is given by x=5

Option D is correct answer.


bekas [8.4K]3 years ago
4 0
The correct answer is 5
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