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yuradex [85]
4 years ago
15

Factor the difference of perfect squares. 4x^2 - 1

Mathematics
1 answer:
BARSIC [14]4 years ago
5 0

Answer:

(2x+1)(2x-1)

Step-by-step explanation:

4x^2-1

(2x)^2-1

(2x)^2-1^2

(2x+1)(2x-1)

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Given that 3x+2y=5a+b and 4x-3y=a+7b, solve for y-x in terms of a and b.​
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Answer:

y - x = - 2 b

Step-by-step explanation:

Given-

3 x + 2 y = 5 a + b...................(i)

4 x - 3 y = a + 7 b.....................(ii)

<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>

<em><u>Add equation (iii) &  (iv)-</u></em>

9 x + 6 y = 15 a + 3 a...................(iii)

<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)

17 x = 17 a + 17 b

<u>x = a + b</u>

Put x = a + b in equation (i)-

<em>2 y = 5 a + b - 3 a - 3 b</em>

<em>2 y = 2 a - 2 b</em>

<u>y = a - b </u>

<em>∴ y - x = a - b - ( a + b )</em>

<em>y - x = a - b - a - b</em>

y - x = - 2 b

3 0
3 years ago
If the volume of a sphere is 36pi cubic units, what is the radius?
prisoha [69]
The radius is about 2.05
6 0
4 years ago
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Andrew combines 7.63 ounces of strawberries with 5.26 ounces of blueberries to make fruit bowls. He pours the fruit equally into
OleMash [197]

Answer:

5.76 ounces of fruit

Step-by-step explanation:

7.63 + 5.26 =  12.89

12.89 - 1.37 = 11.52

11.52 / 2 = 5.76

Therefore, 5.76 would be your answer.

<em>-kiniwih426</em>

4 0
3 years ago
Look at the figure below: A circle is shown with the center O. OP is a segment joining center O to a point P on the circle. MN i
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if the public debt of a country in 2009 was $10432000000000 and the budget for 2010 was in deficit by $201645000000, what was th
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Answer:

Public debt in 2010 is $10230355000000

Step-by-step explanation:

The debt of the country in year 2009 = $10432000000000

In 2010 it is deficit by =$201645000000

Deficit means decreased  ,therefore we add  to the amount  of debt in the year of 2009 to find it for the year 2010.

Public debt in year 2010 = $10432000000000-$201645000000

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Therefore amount of debt in 2010 will be $10230355000000

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