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
Black_prince [1.1K]
2 years ago
11

Question 5 (1 point)

Mathematics
2 answers:
Ivanshal [37]2 years ago
6 0

a.

\huge{{x}^{2}  + 6x + 9}

<em><u>Step-by-step explanation:</u></em>

Using Binomial Theorem:

\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}

.

.

.

(a+b) ^2 =a^{2} + 2ab +b^{2}

The answer seems to be x^{2} + 6x + 9...

fredd [130]2 years ago
4 0

Answer:

a)   x² + 6x + 9

Step-by-step explanation:

When we square something, we multiply it by itself:

⇒ (x + 3)² = (x + 3)(x + 3)

Using the FOIL method:  (a + b)(c + d) = ac + ad + bc + bd

⇒ (x + 3)(x + 3) = x² + 3x + 3x + 9

                        = x² + 6x + 9

You might be interested in
A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
James and Tyson are buds. The sum of their ages is 97. The difference of their ages is 19. Find their ages.
sweet [91]

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

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

2x = 116

x = 58

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

y = 97 - 58

y = 39

7 0
3 years ago
Pleasee help ill mark brainliest
borishaifa [10]
A and C are the correct answers.
6 0
3 years ago
Read 2 more answers
An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. eight calculators are chosen
spin [16.1K]
There are 23535820 combinations that can be made of 35 calculators taken 8 at a time.

_{35}C_8=\frac{35!}{8!27!}=23535820
8 0
3 years ago
How many digits you need to write all 3 digit numbers
7nadin3 [17]

Answer: 720

Step-by-step explanation: if what you want are all possible three digit numbers with no repetition of the digits then you have 10 choices for the first digit, you have 9 choices for the 2nd digit, and you have 8 choices for the 3rd digit giving you 10x9x8 = 720 in all.

8 0
3 years ago
Other questions:
  • How many cans of paint are needed to cover an area of 2,200 square units if one can of paint covers an area of 400 square units?
    6·1 answer
  • What's the answer to this problem? 13-2(4m+8)+3m
    14·2 answers
  • The choices are:
    10·1 answer
  • Sam plays a game using a spinner like the one below which event or complement has a probability of 3/4
    9·1 answer
  • Which statement best describes the interquartile range of this set of weights? {120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb} t
    10·1 answer
  • Arc length
    15·1 answer
  • Charlotte spent 1/2 of the day shopping at the mall. She spent 1/4 of this time trying on jeans. What fraction of the days did C
    5·2 answers
  • In ΔPQR, m∠P = (3x+16) ,m∠Q=(4x-15),m∠R(2x+8) What is the value of x?
    12·1 answer
  • The P.E. class has 21 jump ropes. If each jump rope is 1.524 meters long, how long are the jump ropes altogether?
    11·1 answer
  • WHOEVER ANSWERS CORRECTLY I'LL GIVE BRAINLIEST!!!!!!!!!!!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!