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o-na [289]
3 years ago
6

Factorise x^2/4-y^2/4​

Mathematics
1 answer:
Nuetrik [128]3 years ago
3 0

Answer:

\large\boxed{\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}}

Step-by-step explanation:

\dfrac{x^2}{4}-\dfrac{y^2}{4}=\dfrac{x^2}{2^2}-\dfrac{y^2}{2^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{2}\right)^2\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}

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Please help! Number 8
Arlecino [84]

as a fraction of 180, m < 1 = 1/ (1 + 3 + 2) * 180 = 1/6  * 180  = 30 degrees

m < 2 = 3*30 = 90 degrees

and m < 3 = 30*2 = 60 degrees


4 0
3 years ago
Read 2 more answers
In the first week of​ July, a record 1100 people went to the local swimming pool. In the second​ week, 125 fewer people went to
Vladimir [108]
In July:
First week:
Number of people went to the local swimming pool =1040
Second week:
110 fewer people went to the pool than in the first week
so,
Number of people went to the local swimming pool =1040-110
=930
Third week:
130 more people went to the pool than in the second week
so,
Number of people went to the local swimming pool =930+130
=1060
Fourth week:
228 fewer people went to the pool than in the third week
so,
Number of people went to the local swimming pool =1060-228
=832
Decrease in number of people over four week= number of people in first week - number of people in fourth week
Decrease in number of people over four week=1040-832
=208
now, we can find percentage
Percentage is

=20%.........Answer
6 0
3 years ago
Mario drew a model to represent one third of the space in his bookcase. how could mario draw a model to represent all the space
Maksim231197 [3]
He could of drew it open
6 0
3 years ago
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I NEED HELP ASAP AWARD BRAINLIEST
kvv77 [185]

The value of x from the given diagram is 17

<h2>Vertically opposite angles</h2>

From the given diagram, m<2 and m<3 are vertically opposite since they form angles from the intersection of lines at the point X

Given that;

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  • m<3 = 5x - 15

Equate both expressions to have:

m<2 = m<3

4x + 2 = 5x - 15

4x - 5x = -15 - 2

-x = -17

x = 17

Hence the value of x from the given diagram is 17.

Learn more on vertical angles here; brainly.com/question/1673457

6 0
2 years ago
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A furniture sale person earns on every piece of furniture sold. The salesperson sells a sofa for $1000 and a chair for $200 and
kvasek [131]

Answer:

4.5%

Step-by-step explanation:

Commission = 54

Total sold = 1200

1200.00 x Commission % = 54.00

1200.00/54.00 = Commission

.045

6 0
3 years ago
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