Hi There!
Conversion: 5 carats = 1 gram
Find: How many grams are in 24 carats.
Solution: 24 / 5 = 4.8
Answer: 4.8 carats
Hope This Helps :)
Answer:
The midpoint is (-2,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
( -7+3)/2 = -4/2 =-2
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(-6+4)/2 = -2/2 =-1
The midpoint is (-2,-1)
Answer:
A and D are equal
Step-by-step explanation:
Given
![A=-2[-6, 4, 3 ,7, 12, 10]](https://tex.z-dn.net/?f=A%3D-2%5B-6%2C%204%2C%203%20%2C7%2C%2012%2C%2010%5D)
![B=3[-2, 2, 8, 8, 5, 6]](https://tex.z-dn.net/?f=B%3D3%5B-2%2C%202%2C%208%2C%208%2C%205%2C%206%5D)
![3C=3[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=3C%3D3%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
![D=-1[-12, 8, 6, 14, 24, 20].](https://tex.z-dn.net/?f=D%3D-1%5B-12%2C%208%2C%206%2C%2014%2C%2024%2C%2020%5D.)
Required
The equal matrices
First, we simplify the given expressions
Open bracket
![A= [12, -8, -6 ,-14, -24, -20]](https://tex.z-dn.net/?f=A%3D%20%5B12%2C%20-8%2C%20-6%20%2C-14%2C%20-24%2C%20-20%5D)
Next:
Open bracket
![B=[-6, 6, 24, 24, 15, 18]](https://tex.z-dn.net/?f=B%3D%5B-6%2C%206%2C%2024%2C%2024%2C%2015%2C%2018%5D)
Next:
Divide by 3
![C=[-2, 8, 2, 5, 8, 6]](https://tex.z-dn.net/?f=C%3D%5B-2%2C%208%2C%202%2C%205%2C%208%2C%206%5D)
Lastly:
Open bracket
![D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
By comparison:
![A = D=[12, -8, -6, -14, -24, -20].](https://tex.z-dn.net/?f=A%20%3D%20D%3D%5B12%2C%20-8%2C%20-6%2C%20-14%2C%20-24%2C%20-20%5D.)
Alright, so we can start off by dividing
-4x^2+3xy-y^2 by <span>-(-7x^2-xy+6y^2)=7x^2+xy-6y^2 using long division, getting
-4/7
</span> _____________________
7x^2+xy-6y^2 -4x^2+3xy-y^2
- (-4x^2-4xy/7-24y^2/7)
__________________
25xy/7+31y^2/7
Since we can't do anything at this point, we do
-4/7+(25xy/7+31y^2/7)/(7x^2+xy-6y^2)
At this point, we can divide this by
(x^2+4xy-2y^2), resulting in
(-4/7+((25xy/7+31y^2/7)/(7x^2+xy-6y^2)))/((x^2+4xy-2y^2)). After that, we can't use long division since the numerator's top x exponent is 1.
