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charle [14.2K]
2 years ago
5

State the factoring rule for difference of two squares a2-b2

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
4 0
<h3>Answer:  a^2 - b^2 = (a-b)(a+b)</h3>

The order of the factors does not matter.

So (a-b)(a+b) is the same as (a+b)(a-b)

This is known as the difference of squares factoring rule.

You can FOIL out (a-b)(a+b) and you'd get a^2+ab-ab-b^2. Note how the ab terms cancel leaving us with a^2-b^2. This confirms we have the correct factorization.

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Question 7 (Essay Worth 5 points)
kogti [31]

Answer:

x = -2

y=-3

(-2,-3)

Step-by-step explanation:

Both equations are equal to y

We can set them equal to each other

y = 3x + 3

y = x − 1

3x+3 = x-1

Subtract x from each side

3x+3 -x = x-1-x

2x+3 = -1

Subtract 3 from each side

2x+3-3 = -1-3

2x = -4

Divide each side by 2

2x/2 = -4/2

x = -2

Now we need to find y

y = x-1

y = -2-1

y = -3

y = x-1

3 0
3 years ago
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An equilateral is shown inside a square inside a regular pentagon inside a regular hexagon. The square and regular hexagon are s
Kay [80]

Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.

<h3>Find the expression for the area of the shaded regions:</h3>

From the question we can say that the Hexagon has three shapes inside it,

  • Pentagon
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  • Triangle

Also it is given that,

An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.

From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.

A pentagon is shown inside a regular hexagon.

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An equilateral triangle is shown inside a square.

  • Area of second shaded region = Area of the square - Area of equilateral triangle  

The expression for total shaded region would be written as,

Shaded area = Area of first shaded region + Area of second shaded region

Hence,        

⇒ Shaded area  = area of the hexagon – area of the pentagon + area of the  square – area of the equilateral triangle.

 

Learn more about area of a shape here:

brainly.com/question/16501078

#SPJ1

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1 year ago
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Does anyone know how to solve this??
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