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Minchanka [31]
3 years ago
7

Show that (3m+4n)2 –48mn= (3m-4n)2

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

9m2+16n2+24mn-48mn

9m2+16n2-24mn

(3m-4n)2

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For which values of the variables the following equality is true?
Ilia_Sergeevich [38]

Answer:

For The value of a = 0 and c = 0 , The given expression equality is true  

Step-by-step explanation:

Given expression as :

\frac{3a^{2}+ac+2c-6a}{3a - c} = a - 2

Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )

Or, 3 a² + ac + 2 c - 6 a =  3 a² - ac - 6 a + 2 c

Or, (  3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0

Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0

or,  0 + 2 ac + 0

Or, 2 ac = 0

∴  a =0  and c = 0

Hence For The value of a = 0 and c = 0 , The given expression equality is true  .  Answer

6 0
3 years ago
The table below shows the quantities of onions consumed
Grace [21]

Answer:

The graph is attached

Step-by-step explanation:

Th table that shows the quantities of onions consumed  (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

Plot the points (1,1),(2,2),(3,3),(4,4),(5,5) on the graph.

(see the attached file)

Download docx
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pptx </span>
6 0
2 years ago
If f(x) = -8 - 5x, what is f(-4)
Mashcka [7]

Answer:

f(- 4) = 12

Step-by-step explanation:

To evaluate f(- 4) substitute x = - 4 into f(x) , that is

f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12

6 0
2 years ago
Read 2 more answers
Please help 50 points!<br> Simplify the expressed
LenKa [72]

Answer:

Step-by-step explanation:

\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}  rewrite as multiplication

\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}  look to factor

\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}  , difference of 2 squares and perfect square

\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}, finish factoring and simplify

2(x+3)

3 0
2 years ago
Simplify the following radical expressions. 100 points<br> √8/√6<br> √2/10<br> √532<br><br> √3k√8
kenny6666 [7]

Answer:

√8/√6=1.632993

√2/10=0.141421

√3k√8=4.898979k

Step-by-step explanation:

or did u want it in a different form

7 0
3 years ago
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