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lora16 [44]
3 years ago
9

Expression 1

Mathematics
1 answer:
liberstina [14]3 years ago
5 0
The answers to the questions

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Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
3 years ago
HELPPPPPPPPPPP PLEASEEEEEEE <br> What point does the line pass through?
Lina20 [59]

Answer:

It passes through (1,1).

5 0
3 years ago
Read 2 more answers
Please this is urgent fill in the blanks
Nutka1998 [239]

Answer:

b)

a)

a)

Step-by-step explanation:

hope this helps i havent done this in a while

4 0
3 years ago
What are the solutions of 3(2m − 1) ≤ 6m − 2?
kaheart [24]

Hello from MrBillDoesMath!

Answer:

The solution set is the set all all real number m

 

Discussion:

3(2m-1) <= 6m-2       =>

3*2m - 3*1 <= 6m-2  =>

6m - 3 <.= 6m-2       =>   (Subtract 6m from both sides)

0-3 <= -2     =>

-3 < = -2      


As -3 <=-2 is always true the solution set is the set all all real number m

Regards,  

MrB


4 0
3 years ago
Lilly decides to make cupcakes and sell them at the local farmer's market. She borrows $225 dollars from Garrison and another $1
Deffense [45]

Answer:

My guess is 195.

Step-by-step explanation:

225 + 120 = 345 - 150 = 195

8 0
2 years ago
Read 2 more answers
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