Answer: x = ¹/₂ ± √⁸¹
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2
Step-by-step explanation:
First write out the equation
x² - x - 20
Now we now write the equation by equating to 0
x² - x - 20 = 0
We now move 20 to the other side of the equation. So
x² - x = 20,
We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes
x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²
x² - ( ¹/₂ )² = 20 + ¹/₄
( x - ¹/₂ )² = 20 + ¹/₄, we now resolve the right hand side expression into fraction
( x - ¹/₂ )² = ⁸¹/₄ when the LCM is made 4
Taking the square root of both side to remove the square,we now have
x - ¹/₂ = √⁸¹/₄
x - ¹/₂ = √⁸¹/₂
Therefore,
x = ¹/₂ ± √⁸¹
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2
First fold = .02
2nd fold = .04
3rd fold = .08
4th fold = .16
5th fold = .32
6th fold = .64 cm
Answer:
The coordinates of the midpoint are;
(-6.5, -3)
Step-by-step explanation:
Here, we want to get the midpoint of the line segment
To get this, we use the midpoint formula;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
Thus;
(x,y) = (8 - 21)/2, (-10 + 4)/2
(x,y) = -13/2 , -6/2
(x,y) = (-6.5 , -3)
Multiply (length) times (width). For a square, both numbers will be the same.
A. Andre can answer 1.5 facts per second.
135 : 90
b. Noah can answer 1.25 facts per second.
75 : 60
Andre is working faster.
