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Fudgin [204]
2 years ago
10

Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2

Mathematics
1 answer:
Rasek [7]2 years ago
8 0

The factorisation of the given expressions is as follows;

  • a) p²y²– 2py + 1 = (py -1)²
  • b) a²y² -2aby +b² = (ay - b)²

<h3>Factorization using identities</h3>

The given identity is;

  • a²– 2ab + b² = (a – b)²

From the given identity, we can conclude that;

In the expression (a);

  • py represents a in the identity and 1 represents b in the identity.

In the expression (b);

  • ay represents a in the identity and b represents b in the identity.

Hence, the factorised expressions are as represented above.

Read more on factorisation;

brainly.com/question/24371127

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A drink is mixed in the ratio lemonade : orange : cranberry = 6 : 3 : 2 What fraction is orange?
Elena-2011 [213]

Answer:

3/11

Step-by-step explanation:

If we add all the numbers together we get 11.

6 + 3 + 2 = 11

Therefore there are 11 parts altogether in the drink.

Orange is 3 parts out of all, so that means it is 3/11 in fraction-form.

7 0
3 years ago
A right triangle has two legs with measure of 12 inches and 15 inches. Find the length of the hypotenuse to the nearest tenth of
Len [333]

Answer:

19 inches

Step-by-step explanation:

12^2+15^2=c^2

c=19.2094

4 0
3 years ago
(6y^2-9y+4)-(-7y^2+5y+1)
Vladimir79 [104]

Answer and explanation:

(6y^2-9y+4)-(-7y^2+5y+1) multiply the - into -7y^2+5y+1

6y^2-9y+4+7y^2-5y-1  Now add, or subtract, everything together.

(13y^2-14y+3) Answer

3 0
4 years ago
The functions f(x) and g(x) are graphed.
klasskru [66]

Answer:

f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)

Step-by-step explanation:

Two functions are said to be equal in value when they intersect at a point where their coordinates are equal. If f(x) represents the straight blue line and g(x) represent the curved red line with an upward curve, they intersect when their coordinates are equal. So, f(x) = g(x) when they intersect.

Now, f(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).

Also, g(x) crosses the x-axis at (2, 0) and crosses the y-axis at (0, 4).

Since their coordinates are equal at these two points, it means that

f(x) = g(x) at (2. 0) and f(x) = g(x) at (0. 4)

4 0
4 years ago
Shaun has five coins in his pocket. If he empties the coins onto a table, what is the probability that all five coins will land
Anastasy [175]

Answer:

A. 1/32

Step-by-step explanation:

Ok, the probability for one of the coins to land on heads is 1/2 cause a coin have to sides and chance is 50% that it will land on either of its sides.

If you have 2 coins the probability will be 1/2 for the first coin to land on heads and 1/2 for the second one. The overall probability for 2 coins would be (1/2)*(1/2)=1/4. You could also see it is 1/4 because all of the possible combinations of 2 coins are 4 (HH, HT, TH, TT) and HH is one of four.

It's the same if you have 5 coins. The probability will be (1/2)*(1/2)*(1/2)*(1/2)*(1/2)=1/32 in other words HHHHH is one of 32 possible combinations of 5 coins.

5 0
3 years ago
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