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)
Sin A= 90* C, angle of A and C are suplementary
Answer:
40ft.
Step-by-step explanation:
All sides have to equal the same amount.
10 times 10 is 100! If all sides are equal to 10, 10+10+10+10 is 40.
If the area of the square garden is 100ft^2, the perimeter is 40ft.
Answer:
Step-by-step explanation:
Given : The Russo-Japanese War was a conflict between Russia and Japan that started in the year 1904.
To Find: Write an inequality in terms of x and 1904 that is true only for values of x that represent years before the start of the Russo-Japanese War.
Solution :
The year of the conflict is 1904.
We are given x that represents the year before the given year 1904.
Since we are given that x represents the year after the given year 1610.
⇒ x must be smaller than year 1904
Thus, the inequality becomes:
Hence an inequality in terms of x and 1904 that is true only for values of x that represent years before the start of the Russo-Japanese War
Answer:
x=72°
Step-by-step explanation:
A=360-102-95-55=108
x=180-108=72