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Luba_88 [7]
2 years ago
10

Simplify your answers to the simplest form with steps

Mathematics
2 answers:
yan [13]2 years ago
7 0
4[2a+b]/c[b+2a] = 4/c.
irakobra [83]2 years ago
6 0
\frac{8a+4b}{bc+2ac}
this when factorised gives\frac{4(2a+b)}{c(2a+b)}
2a+b on the numerator cancels 2a+b on the denominator
it will give\frac{4}{c}*1
\frac{4}{c}
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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
2 years ago
Determine the coordinates of the x-intercept of 3x – 4y = 24.
Mars2501 [29]
The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.
6 0
3 years ago
Read 2 more answers
Choosing time and place carefully, staying calm, and _____ are three wise things to do when confronting a person.
Vika [28.1K]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ It would be 'negotiating a solution.'

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

5 0
3 years ago
A student had taken six tests and received scores 88, 73, 81, 83, 79, 94. The seventh test was coming up and the student wanted
Oxana [17]

Answer: 83

Step-by-step explanation:

Since the student want to have a mean of 83 in the 7 tests, the total score of the tests will be:

= 83 × 7

= 581

Then, we add the value of the 6 tests and this will be:

= 88 + 73 + 81 + 83 + 79 + 94

= 498

We will now subtract 498 from 581 and this will be:

= 581 - 498

= 83

He needs to score 83 in the 7th test

6 0
2 years ago
If the "discriminant" of a quadratic equation is -25, then the equation has _________________ solution(s).
slava [35]

no real solutions

The conditions for the discriminant are

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then no real solutions


7 0
3 years ago
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