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3 years ago

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 )

-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)

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When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f

nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

$10=2(x+y)$

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

$8=2(x-y)$

Divide both equations by 2:

$x+y=5\\ \\x-y=4$

Add these equations:

$x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h$

Subtract these two equations:

$(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h$

4 0

2 years ago

3(n+4)=21 what does n =?

Brilliant_brown [7]

Answer:

Step-by-step explanation:

3(n + 4) = 21

3n + 12 = 21

3n = 21 - 12 = 9

n = 3.

7 0

3 years ago

Read 2 more answers

Hillary paid $8 for 12 donuts. What is the approximate unit cost of each donut

nalin [4]

Answer:

$0.67

Step-by-step explanation:

Divide 8(dollars) by 12 (donuts) and you get 0.66666666666666666666666666666667

But, round it and you get .67

4 0

3 years ago

Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv

nadezda [96]

(750m) - 1050 = b

1800 - 1050 = 750 dollars lost.

So (750m) - 1050 = b will give you the balance.

6 0

3 years ago

Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti

olga2289 [7]

Answer:

$2\frac{2}{3}$

Step-by-step explanation:

Given the information

4 containers of 4 different colors
1/3 of each color left over
She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However, 8/3 = $2\frac{2}{3}$ > 2 $\frac{1}{2}$

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is: $2\frac{2}{3}$

Hope it will find you well

7 0

2 years ago

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

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