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FromTheMoon [43]
2 years ago
11

Perfect square trinomial conditions

Mathematics
1 answer:
aev [14]2 years ago
4 0

Step-by-step explanation:

step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.

step 2. dos must have only 2 square rootable terms and a "-" between them.

step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!

step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!

step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!

step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!

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3 years ago
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Kathy needs money for a trip to Europe if she has US$300 in the bank but wants to withdraw half of it In British pounds and half
Aleks [24]

Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.

Step-by-step explanation:

She has US$300, and she will withdraw half of it on pounds, and half of it in euros.

(half of US$300 is US$150)

We know that:

1 pound = US$1.6

(1 pound/US$1.6) = 1

Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.

And we also know that:

1 euro = US$ 1.3

then:

(1 euro/US$ 1.3) = 1

This means that:

US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.

This means that:

115.38 - 93.75 = 21.63

This means that she has 21.63 more euros than pounds.

and:

115.38/93.75 = 1.23

She has 1.23 times more euros than pounds.

6 0
2 years ago
Write the slope intercept form through (3, 5) parallel to y 5/3x -5
Harrizon [31]

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8 0
3 years ago
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Which of the following indicates the subtraction property of equality when solving the equation 4(x + 9) + 5 = 3x − 8? Question
jeka94

Answer: 4(x + 9) = 3x − 8 − 5

Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

The subtraction property of equality states that if we subtract the same number from both sides of the equation, the equality remains.

So, if we subtract 5 from both sides:

4(x + 9) + 5-5 = 3x − 8 -5

4(x + 9) = 3x − 8 − 5  

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
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