Answer:
wouldn't be 3
Step-by-step explanation:
sorry if not
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:
y = (-3/2)x + 5
Step-by-step explanation:
Collect like terms
2y = -3x +10
Divide both sides by 2
2y/2 = -3x/2 + 10/2
y = (-3/2)x + 5
Answer:
The set can be defined by listing all its elements, separated by commas and enclosed within braces. This is called the roster method.
Step-by-step explanation:
Mark me as Brainy.
Answer:
the volume of the sphere will be 4 times the volume of the cone;
Step-by-step explanation:
<u>The question is on volume comparison</u>
Volume of a sphere=4/3
×r³
Volume of a cone=
/3×r²h
where r is the radius and h is the height
<u>Apply the condition</u>
If r=h=1 unit
Then volume of sphere will be= 4/3 ×
×1³ = 4/3![\pi](https://tex.z-dn.net/?f=%5Cpi)
And volume of the cone will be=
/3 ×1²×1 =
/3
We can see the volume of the sphere will be 4 times the volume of the cone;
4/3
= 4×
/3