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Ronch [10]
2 years ago
9

Gcf difference of square (trinomials (xmethod) Help with math problem

Mathematics
2 answers:
Naddik [55]2 years ago
7 0

Answer:

Step-by-step explanation:

1. x = 2 1 2 , − 2 1 2

2. x = 0 , 2

3. x = 3 , 2

Kisachek [45]2 years ago
7 0

9514 1404 393

Answer:

  A) difference of squares

  B) GCF

  C) trinomials (X method)

Step-by-step explanation:

When a binomial is a difference of squares, factoring using the "difference of squares" method is appropriate.

The first binomial is ...

  (2x)² -5² . . . . . a difference of squares

  = (2x -5)(2x +5)

__

When the binomial is not a difference of squares, but there is a common factor, then the GCF method is appropriate.

  2x³ -4x² = 2x²(x -2) . . . . . GCF method

__

When the expression is a trinomial, often the X method can work for factoring it.

  x²-5x +6 . . . . 2 numbers are needed that sum to -5 and are factors of 6

  6 = (-2)(-3), so the factorization is (by X method)

  (x -2)(x -3)

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Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total
Aloiza [94]
Part A:

Given that <span>Starlight tree farms sells Douglas Firs and Noble First.

Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.


Part B:

</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

</span>55h+275-275=440-275 \\  \\ \Rightarrow55h=165
<span>
Dividing both sides by 55 gives:

</span>\frac{55h}{55} = \frac{165}{55}  \\  \\ \Rightarrow h=3
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
6 0
2 years ago
The point P(x, y) lies on the terminal side of an angle a = Ū in standard position. What are the signs of the values of x and y?
Akimi4 [234]
I think the answer is both x and y are positive
8 0
2 years ago
Shortern this expression pls​
pogonyaev

Answer:

c =\frac{8}{3}

Step-by-step explanation:

Given

c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} +  \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}

Required

Shorten

We have:

c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} +  \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}

Rationalize

c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} +  \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}

Expand

c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} +  \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}

c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} +  \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}

c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} +  \sqrt{\frac{(4 - \sqrt 7)^2}{9}

Take positive square roots

c =\frac{4 + \sqrt 7}{3} +  \frac{4 - \sqrt 7}{3}

Take LCM

c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}

Collect like terms

c =\frac{4  + 4+ \sqrt 7 - \sqrt 7}{3}

c =\frac{8}{3}

4 0
3 years ago
Please solve the whole page
Levart [38]

Answer:

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2. 76/4

3. 16

4. 1/8

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7. 13/1

8. 255/1

9. 20, 140, 240

10. 3.5, 17.5, 31.5

11. 12

12. 2      

6 0
2 years ago
Can someone help me please?
Shtirlitz [24]
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8 0
3 years ago
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