1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
Radius = 16 in ; height = 27 in
nataly862011 [7]
Assuming that this problem is asking about a cylinder, the volume can be found using the formula (pi)(r)^2 * h (area of the circle * height) and the surface area can be found using the formula (2)(pi)(r)h (circumference of the circle * height).

Volume = (pi)(16)^2 * 27 = 21,714.688 in^3
Surface Area = (2)(pi)(16) * 27 = 2,714.336 in^2
8 0
2 years ago
If m∠EBF = 6x + 4 and m∠CBF = 7x – 2, find m∠EBF.
olganol [36]

Answer:

78

Step-by-step

I hope it's helped

6 0
2 years ago
Read 2 more answers
An election ballot asks voters to select three city commissioners from a group of six candidates, in how many ways can this be d
slava [35]
20 possibilities based on this as a combination not a permutation, 6 nCr 3 = 20
6 0
3 years ago
Is 28 rational or irrational
Sonja [21]
28 is a rational number
6 0
3 years ago
Read 2 more answers
Apply the distributive property to create an equivalent expression. ( 1 − 2 g + 4 h ) ⋅ 5 =
mina [271]

Answer:

{(1-2g) + 4h] x 5 =

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the ratio of the two quantities? Warning: different units! a 4 seconds to 2 min
    6·1 answer
  • Divide: 8.4 x 10^12<br> --------------<br> 4.2 x 10^6
    13·1 answer
  • Find the period of the graph shown below.
    12·1 answer
  • If 8 students have to split 5 pieces of cake how much did each student get?
    6·2 answers
  • A conjecture and the flowchart proof used to prove the conjecture are shown.Drag an expression or phrase to each box to complete
    6·1 answer
  • a gardener installed 42.6 meters of fencing in a week. He installed 13.45 meters on Monday and 9.5 meters on Tuesday. He install
    14·1 answer
  • I don't know how teachers did this can someone help
    10·1 answer
  • Can someone please help me, Thank you.
    15·2 answers
  • What is the value of x?
    15·2 answers
  • Please help me with this question &lt;3 ASAP!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!