FOIL method : F = First , O = Outer , I = Inner, L = Last
(6x-6)(x+6)
First: 6x * x = 6x^2
Outer: 6x * 6 = 36x
Inner: -6 * x = -6x
Last: -6 *6 = -36
Put these in order and we get : 6x^2 + 36x -6x -36
Answer:
---- ![x =\{-7,- 1\}](https://tex.z-dn.net/?f=x%20%3D%5C%7B-7%2C-%201%5C%7D)
---- ![x = \{1,7\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B1%2C7%5C%7D)
----- ![x = \{-7,1\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B-7%2C1%5C%7D)
---- ![x = \{-1,7\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B-1%2C7%5C%7D)
Step-by-step explanation:
Given
The attached equations
Required
Match each with the solution
![(a)\ x + 4 = \±\sqrt9](https://tex.z-dn.net/?f=%28a%29%5C%20x%20%2B%204%20%3D%20%5C%C2%B1%5Csqrt9)
Take the square root of 9
![x + 4 = \±3](https://tex.z-dn.net/?f=x%20%2B%204%20%3D%20%5C%C2%B13)
Solve for x
![x =- 4 \±3](https://tex.z-dn.net/?f=x%20%3D-%204%20%20%5C%C2%B13)
Split
![x =\{- 4 -3,- 4 +3\}](https://tex.z-dn.net/?f=x%20%3D%5C%7B-%204%20-3%2C-%204%20%2B3%5C%7D)
![x =\{-7,- 1\}](https://tex.z-dn.net/?f=x%20%3D%5C%7B-7%2C-%201%5C%7D)
![(b)\ x - 4 = \±\sqrt9](https://tex.z-dn.net/?f=%28b%29%5C%20x%20-%204%20%3D%20%5C%C2%B1%5Csqrt9)
Take the square root of 9
![x - 4 = \±3](https://tex.z-dn.net/?f=x%20-%204%20%3D%20%5C%C2%B13)
Solve for x
![x = 4 \±3](https://tex.z-dn.net/?f=x%20%3D%204%20%5C%C2%B13)
Split
![x = \{4 -3,4+3\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B4%20-3%2C4%2B3%5C%7D)
![x = \{1,7\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B1%2C7%5C%7D)
![(c)\ x + 3 = \±\sqrt{16}](https://tex.z-dn.net/?f=%28c%29%5C%20x%20%2B%203%20%3D%20%5C%C2%B1%5Csqrt%7B16%7D)
Take the square root of 16
![x + 3 = \±4](https://tex.z-dn.net/?f=x%20%2B%203%20%3D%20%5C%C2%B14)
Solve for x
![x =- 3 \±4](https://tex.z-dn.net/?f=x%20%3D-%203%20%5C%C2%B14)
Split
![x = \{-3-4,-3+4\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B-3-4%2C-3%2B4%5C%7D)
![x = \{-7,1\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B-7%2C1%5C%7D)
![(d)\ x - 3 = \±\sqrt{16}](https://tex.z-dn.net/?f=%28d%29%5C%20x%20-%203%20%3D%20%5C%C2%B1%5Csqrt%7B16%7D)
Take the square root of 16
![x - 3 = \±4](https://tex.z-dn.net/?f=x%20-%203%20%3D%20%5C%C2%B14)
Solve for x
![x =3 \±4](https://tex.z-dn.net/?f=x%20%3D3%20%5C%C2%B14)
Split
![x = \{3-4,3+4\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B3-4%2C3%2B4%5C%7D)
![x = \{-1,7\}](https://tex.z-dn.net/?f=x%20%3D%20%5C%7B-1%2C7%5C%7D)
Answer:
x=-6/4 or -1 ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Answer: The Circumference of a circle has the greatest measure.
Step-by-step explanation: A chord connects two points on a circle that are shorter than the diameter. The diameter is the measure across the widest part of the circle.
Circumference is the perimeter of the circle, the distance all the way around. It is π × diameter-- a bit more than 3 times the length of the diameter.
Answer:
19,725
Step-by-step explanation: