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
amid [387]
3 years ago
10

Factorise fully : 4(x - y)^2 - 9(x + y)^2​

Mathematics
2 answers:
sergeinik [125]3 years ago
8 0

Answer:

- ( 5x + y ) ( x + 5y )

or

-5x^2 - 5y^2 - 26xy

Archy [21]3 years ago
4 0

Answer:

Step-by-step explanation:

4(x^2-2xy+y^2)-9(x^2+2xy+y^2)

4x^2-8xy+4y^2-9x^2-18xy-9y^2

-5x^2-26xy-5y^2

-5x^2-xy-25xy-5y^2

-x(5x+y)-5y(5x+y)

(-x-5y)(5x+y) or you can also remove the negative one to get

-(x+5y)(5x+y)

You might be interested in
19. A quadratic equation is shown below.
victus00 [196]

Answer:

\{\sqrt b, -\sqrt b\}

Step-by-step explanation:

Given

a^2 - b = 0

Required

Determine the solution

Since b is  a perfect square, the equation can be expressed as:

a^2 - (\sqrt b)^2 = 0

Apply difference of two squares:

(a - \sqrt b)(a + \sqrt b) = 0

Split:

(a - \sqrt b)= 0 \ or\ (a + \sqrt b) = 0

Remove brackets:

a - \sqrt b= 0 \ or\ a + \sqrt b = 0

Make a the subject in both equations

a =\sqrt b \ or\ a  =-\sqrt b

The solution can be represented as:

\{\sqrt b, -\sqrt b\}

6 0
2 years ago
Order from least to greatest
Orlov [11]
Answer: 
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>; 

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 =  ¼ l  (less than "1"); the lowest of the three given values. 

The remaining two values have the same whole number of 3, and a fraction:
   3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40.   ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40.  3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;  
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖; 
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

7 0
3 years ago
A. 25,600π in3<br><br><br><br> B. 10,240π in3<br><br><br><br> C. 1280π in3<br><br><br> D. 640π in3
NeX [460]

Answer: The correct answer is B; 10,240π in³

Step-by-step explanation: To calculate the volume of a cylinder, the given formular is

Volume = π r² h, where

radius (r) = 16

height (h) = 40

Pi (π) = 3.14

It is important to take note that in questions like these, the value of pi is usually given as 3.14 or 22/7. However, for this particular question, the answer should be expressed in terms of pi, (that is, the answer must include pi). For that reason we shall leave pi as it is, and we shall not use it's value when applying the formular.

Therefore, inserting the values of radius, height and pi into our formular, we now have;

Volume = π r² h

Volume = π x 16² x 40

Volume = π x 256 x 40

Volume = π x 10,240

Therefore the exact volume of the cylinder = 10,240π in³

5 0
3 years ago
A rectangle measures 15 cm by 4 cm what's it's area
schepotkina [342]
The way you find area is multiplying width times height, so you have to multiply 15 by 4 which equals 60. Therefore the answer is 60
5 0
2 years ago
The difference of a number times 2 and 7 is 9. (Use w for the unknown number)
asambeis [7]
2w-7=9
+7=+7
2w=16
2w/2=16/2
w=8
7 0
2 years ago
Other questions:
  • Which two values are located at the same point on a number like . 4/1 and 4 or 1/3 and 3 or 8:8 and 8 or 6/2 and 4
    14·2 answers
  • When you want to change a cell color, which menu should you select?
    9·1 answer
  • n first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine
    7·1 answer
  • Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total w
    6·2 answers
  • A spotify premium membership is $10 per month proportional or non proportional
    15·2 answers
  • HELP PLS<br> Solve for x<br> x=[?]<br> 3x + 2 6x - 20
    8·1 answer
  • Is the order of operations important why ?
    14·1 answer
  • Can someone explain these questions to me, especially the last one please.​
    13·1 answer
  • Suppose that y varies directly with x<br> and y = 5 when x = 6. What is y<br> dy<br> when x = 5?
    9·1 answer
  • 2x - y = 4<br> y = 2x + 4<br> Solution(s):<br><br> PLEASEEE
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!