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
Pavlova-9 [17]
3 years ago
11

What is the factored form of the expression 9x2 + 6x + 1?

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

Answer:

(3x + 1)²

Step-by-step explanation:

Given

9x² + 6x + 1 ← is a perfect square of the form

(ax + b)² = a²x² + 2abx +  b²

Compare like terms to find a and b

a²x² = 9x² ⇒ a² = 9 ⇒ a = \sqrt{9} = 3

b² = 1 ⇒ b = \sqrt{1} = 1

and 2ab = 2 × 3 × 1 = 6

Thus

9x² + 6x + 1 = (3x + 1)²

You might be interested in
Neeeeeed heeelp plz!!!
Blababa [14]
                             |
                             |__x_- 4___________              2x³/2x² =x
   2x² + 2x +3        | 2x³ - 6x² +7x +3
                            - (<span>2x³ +2x² +3x)
</span>                                      -8x² +4x  +3                -8x²/2x² = -4
                                    <span>-(-8x² -8x  -12)
</span>                                              12x +15

(x-4) + (12x +15)/(2x² + 2x +3) 
6 0
3 years ago
Convert 3 18/25 to a decimal using long division.
zaharov [31]
Change into improper fraction 
take 3 x 25+18 divided by 25=93\25
93\25=3.72
3 0
3 years ago
Two planes that are traveling toward each other are 720 miles apart. One plane is traveling 40 miles per hour faster than the ot
natali 33 [55]

Answer:

y = 460 miles per hr

x = 500 miles per hr

Step-by-step explanation:

Let the planes be X any

Let their speeds be xmiles/hr and ymiles/hr respectively

x = y + 40 (assuming X is faster by 40miles/hr)

Distance travelled by X to meet Y = 0.75x

Distance travelled by Y to meet X = 0.75y

0.75x + 0.75y = 720 --------1

Put x = y + 40 in eqn 1

0.75(y+40) + 0.75y = 720

0.75y + 30 + 0.75y= 720

1.5y = 690

y = 460 miles per hr

x = 460 +40

= 500 miles per hr

7 0
3 years ago
Calculate the distance between the points M=(-9, 8) and G=(-1, 3) in the coordinate plane.
ziro4ka [17]

Answer:

9.4339811320566

Step-by-step explanation:

6 0
3 years ago
If there is 99 apples and i take one of them how many apples are there now
Finger [1]

Answer:

98

Step-by-step explanation:

99 - 1 = 98

7 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!!!! don't understand!!!
    15·1 answer
  • Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how m
    5·2 answers
  • A shoe store uses 50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholes
    12·1 answer
  • F(x)=3(1/2) -x <br> what is the domain and range?
    11·1 answer
  • Pleaseeeee heeeelp write a polynomial function of least degree with the given zero. -1+ √ 2, √ 3
    12·1 answer
  • Factor the quadratic expression completely.
    11·1 answer
  • Differentiate between a fixed and movable pulley.<br>​
    7·1 answer
  • Find area of the figure
    12·1 answer
  • What is 362,000 rounded to the nearest ten thousand
    8·1 answer
  • PLEASE I AM IN DESPERATE NEED OF HELP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!