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
Sladkaya [172]
3 years ago
7

Factor completely. 25w² + 60w + 36 Express the answer in the form (aw+b)2 . Enter your answer in the box.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Solution:

→25 w² + 60 w + 36

You can do it by two methods, either by splitting the middle term that is term containing w

Or, directly converting it into form of perfect square.

1. Splitting the middle term

=25 w² + 30 w + 30 w + 36

= 5 w× ( 5 w + 6) +6× ( 5 w + 6)

= ( 5 w + 6)(5 w + 6)

= (5 w + 6)²

2. By perfect square method

25 w² + 60 w + 36

= (5 w)² + 2 × (5 w)× (6) + (6)²

= (5 w + 6)²→→→using the Identity, (a+b)²= a²+ b²+ 2 a b


Brut [27]3 years ago
7 0
25w²=(5w)², 36=6², 60w=2*5w*6
Recall the formula (a+b)²=a²+2ab+b²
in this case, <span>25w² + 60w + 36=(5w+6)</span>²
You might be interested in
What Is The Answer For -6( -2+a ) = 54
WITCHER [35]

Answer:

a = (-7)

Step-by-step explanation:

Firstly clear the bracket...,

-6(-2 + a) = 12 - 6a

Then substitute the simplified version in place of bracket...,

; 12 - 6a = 54

; -6a = 54 - 12

; -6a = 42...then divide both sides by (-6)

Therefore...., a = (-7)

3 0
3 years ago
What is 1 1/2 - 3 5/7?
kramer
The answer is -2.21428571429
3 0
2 years ago
23j-21g+20e-13+52e-37j+45-49e<br> (Like terms)
eduard

The solution to the algebraic expression is: 23e - 21g - 14j + 32

What are algebraic expressions?

Algebraic expressions are mathematical expressions that contain variables, coefficients, and arithmetic operations such as addition, subtraction, division, and multiplication.

Solving algebraic expressions are an important part of mathematics as it helps to improve the aptitude and solving skills of the students.

From the given information, we have;

23j - 21g + 20e - 13 + 52e - 37j + 45 - 49e

let's rearrange by taking the like terms to the same sides;

= 23j -37j - 21g + 20e + 52e - 49e - 13 + 45

= -14j - 21g + 23e + 32

= 23e - 21g - 14j + 32

Therefore, we can conclude that the solution to the algebraic expression is: 23e - 21g - 14j + 32

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

#SPJ1

3 0
2 years ago
2.85 as a mixed number
WARRIOR [948]
The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)
3 0
3 years ago
Read 2 more answers
Any help I would really appreciate it
DanielleElmas [232]

Answer:

C and D

Step-by-step explanation:

You can tell if equations have no solution if the variables on both sides of the equation are the same.

Choice C is 10+6x=15+9x-3x. You would combine 9x and -3x, turning the equation into 10+6x=15+6x. Since there is a 6x on both sides, Choice C would have no solution.

The same for Choice D. When you simplify everything there is a 3x on both sides, so it would have no solution.

5 0
3 years ago
Other questions:
  • The surface area of a rectangular prism is 442 square feet. The length is 11 feet, and the height is 8 feet. What is the width o
    5·2 answers
  • Answer this question I will Mark brilliant and gets 70 PTS <br>do number one or two or do both ​
    10·1 answer
  • Which is equivalent to after it has been simplified completely? Assume n ≠ 0.<br> PICTURE BELOW
    9·2 answers
  • What is the sum of the measures, in degrees, of the interior angles of a 16- sided polygon?
    5·1 answer
  • Help and it’s 20 points
    7·2 answers
  • In converting 9 inches to yards, what unit (omit the number) would you place
    7·1 answer
  • A point C divides a line segment AB of length 4.5cm in the ratio 2:1, then the length of AC is​
    11·1 answer
  • What is the expression?
    8·1 answer
  • Basic algebra. PLease help!!!
    9·2 answers
  • Which of the following is equivalent to this expression?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!