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
Please answer this quick in quetion 1. answer and 2. answer and 3.answer thank you please answer under 5 minutes i dont have tim
Klio2033 [76]
B
Number of hours studied
5 0
3 years ago
For a given input value q, the function f outputs a value r to satisfy the following equation. 11q-4=3r-6, Write a formula for f
Jlenok [28]
Q=2, r=8
11(2)= 3(8)-2
22=24-2
22
7 0
3 years ago
Read 2 more answers
6.5 x 1/9 please help
hjlf

Answer:

13/18

Step-by-step explanation:

  • 6.5 · 1/9 = 6 5/10 · 1/9
  • 6 5/10 · 1/9 = 6 1/2 · 1/9
  • 6 1/2 · 1/9 = 13/2 · 1/9
  • 13/2 · 1/9 = 13/18

Therefore, 6.5 · 1/9 = 13/18.

7 0
2 years ago
Gest Inc. has provided the following data for the month of November. The balance in the Finished Goods inventory account at the
Helen [10]

Answer: The answer is a $226,000

Step-by-step explanation:

The adjusted cost of good sold Account

$

Balance at beginning 49,000

Add: Cost of goods manufactured 226,000

Add: Applied overhead on work in process 70,000

--------------------

345,000

Less: Balance b /d. 45,000

---------------------

300,000

Less: Actual manufacturing overhead. 74,000

--------------------

Balance on income statements. 226,000

-----------------------

4 0
3 years ago
FIND THE VALUEOF THE VARIBLE AND FILL THE BLANK.
ludmilkaskok [199]

Answer:

f = 2

g = 8

h = -9

k = 40

m = 1

Step-by-step explanation:

Equation 1:

23f - 17 = 29

Add 17 to both sides. This undoes the -17.

23f = 29 + 17

Add 17 to 29 to get 46.

23f = 46

Divide both sides by 23. This undoes the multiplication by 23.

f = 46/23

Divide 46 by 23 to get 2.

f = 2

Equation 2:

2(3g + 4) = 56

Divide both sides by 2. This undoes the multiplication by 2.

3g + 4 = 56/2

Divide 56 by 2 to get 28.

3g + 4 = 28

Subtract 4 from both sides. This undoes the +4.

3g = 28 - 4

Subtract 4 from 28 to get 24.

3g = 24

Divide both sides by 3. This undoes the multiplication by 3.

g = 24/3

Divide 24 by 3 to get 8.

g = 8

Equation 3:

h + 9 = 0

Subtract 9 from both sides. This undoes the +9.

h = 0 - 9

Any number subtracted from 0 gives its negation.

h = -9

Equation 4

3(k - 8) = 96

Divide both sides by 3. This undoes the multiplication by 3.

k - 8 = 96/3

Divide 96 by 3 to get 32.

k - 8 = 32

Add 8 to both sides. This undoes the -8.

k = 32 + 8

Add 8 to 32 to get 40.

k = 40

Equation 5:

5m - 5 = 0

Add 5 to both sides. This undoes the -5

5m = 0 + 5

Anything plus 0 gives itself.

5m = 5

Divide both sides by 5. This undoes the multiplication by 5

m = 5/5

Anything divided by itself gives you 1.

m = 1

4 0
3 years ago
Other questions:
  • Tracy ran 1,000 meters in 5 minutes. How many meters/minutes did she run?
    5·1 answer
  • 5x + 7 = 2 what is X<br><br> A.x = -1<br> B.x = 1<br> C.x = 6<br> D.x = -6
    12·2 answers
  • you have a 32-foot fence around a square garden. There are 4equal sections. You paint 1/3 of one section of the fence. What frac
    10·1 answer
  • What is (4x^3) divided by (2x)
    14·1 answer
  • You are fishing and are reeling in a fish. You reel in the fish at a rate of 2.5 feet per second. After 4 seconds, the fish is 1
    11·1 answer
  • Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $
    7·1 answer
  • What is the solution to 107 – (–25)
    5·2 answers
  • -1 + 6 - 3 =<br><br> ( worth 10 points)
    7·2 answers
  • The measure of angle R is ___ degrees, rounded to the nearest hundredth.
    15·2 answers
  • The measures of the angles of a triangle are shown in the figure below. Solve for x
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!