The square of a certain negative number is equal to 5 more than one half of the number what is the number

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Answer 1
Answer: the square of a certain negative number is equal to 5 more than one half of that number
what is that number
let x be that number
thus        x²  =  x/2 + 5
               x² - x/2 - 5 =  0
               2x² - x -10 = 0
               (2x-5) (x + 2) =  0
                 x =  5/2    or    - 2
                 so the number is    - 2

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Solve the following system of equations for x: 4x + y = 11 x + y = 2

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Hello,

4x+y=11 (1)
x+y=2 (2)

(1)-(2)==>3x=9 ==>x=3 and y=2-3=-1
Sol={(3,-1)}

How to find the area of a circle

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2,600 divided  by something=260  show work

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2600 divided by 10 equals 260. every time you divide by ten you just take away a zero

2600/10 = 260/1 (take away one zero from numerator & denominator each) . . . any number over one is that number itself . . . so 2600/10 = 260 . . . you're number is 10

(1+5/6)(1-5/6)

I don't understand it

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(a+b)(a-b) = a^2 - b^2

(1+5/6) (1-5/6) = 1^2 - (5/6)^2 = 1 - 25/36 = 36/36 - 25/36 = (36-25)/36 = 11/36

11/36 is your answer

factor of the line segment dilation. AB: endpoints (−6, −3) and (−3, −9) to A'B': endpoints at (−2, −1) and (−1, −3).

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The answer is 1/3, I just answered this on USATP.

What is A ∩ B?    Let set A = {odd numbers between 0 and 100} and set B = {numbers between 50 and 150 that are evenly divisible by 5}.

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