Answer: x = ¹/₂ ± √⁸¹
------------
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
-----------
2
One reason would be if you did not know the answer so you could do
4-5=x
another reason would be if the problem gave you the answer but not one of the things to get the answer
4-x=-1
not sure if that is what you want but I hope this helped
Answer:
-3
Step-by-step explanation:
A = midpoint
-17 + 5 = -12
-12/2 = -6 = A
-6 + 0 = -6
-6/2 = -3 = B
Answer:
Step-by-step explanation:
The formula for the length of an arc is s = rФ.
Thus, the arc length of a semicircle is S = rФ/2.
Here the radius is 5 (half the diameter), and so in this case the arc length is
S = (5 units)π/2, or S = (5/2)(3.14) units, or approximately S = 7.85 units
Answer:
Volume of round cake pan = volume of cylinder
Volume of a cylinder = 
(where r is the radius and h is the height)
Radius = 
diameter ⇒ 
⇒ volume of round cake pan = 
= 76.97 in³ (nearest hundredth)
Volume of rectangular cake pan = volume of rectangular prism
volume of rectangular prism = 
(where w is the width, l is the length and h is the height)
⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³
As 108 > 76.97, the rectangular cake pan has a larger volume
