Answer:Message me for full answer
Step-by-step explanation:
The first one has a negative. You shouldn't have a negative isolated variable,
-x = 5y -1, Multiply everything by -1,
x = -5y + 1,
For the second one, you isolate the x,
x + 2y = 13, subtract 2y from both sides,
x = 13 - 2y.<span />
Answer:
C or D
Step-by-step explanation:
I'm taking this same thing, not sure if it's c or d. The thing that I'm puzzled about is what the difference between the white dot and the black dot is.
Answer:
The correct answer is
![2\frac{2}{9}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B9%7D)
Step-by-step explanation:
Method 1
We want to simplify,
![-2\frac{1}{9} -(-4\frac{1}{3})](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B9%7D%20-%28-4%5Cfrac%7B1%7D%7B3%7D%29)
The double negatives becomes positive,
![=-2\frac{1}{9} +4\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%5Cfrac%7B1%7D%7B9%7D%20%2B4%5Cfrac%7B1%7D%7B3%7D)
We now add the whole number parts and the fractions separately
![=-2+4-\frac{1}{9} +\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%2B4-%5Cfrac%7B1%7D%7B9%7D%20%2B%5Cfrac%7B1%7D%7B3%7D)
This will give us,
![=2-\frac{1}{9} +\frac{1}{3}](https://tex.z-dn.net/?f=%3D2-%5Cfrac%7B1%7D%7B9%7D%20%2B%5Cfrac%7B1%7D%7B3%7D)
The least common denominator for the fractional parts is 9.
![=2+\frac{-1+3\times1}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B-1%2B3%5Ctimes1%7D%7B9%7D)
![=2+\frac{-1+3}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B-1%2B3%7D%7B9%7D)
![=2+\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%2B%5Cfrac%7B2%7D%7B9%7D)
![=2\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%5Cfrac%7B2%7D%7B9%7D)
Method 2
We want to simplify,
![-2\frac{1}{9} -(-4\frac{1}{3})](https://tex.z-dn.net/?f=-2%5Cfrac%7B1%7D%7B9%7D%20-%28-4%5Cfrac%7B1%7D%7B3%7D%29)
The double negatives becomes positive,
![=-2\frac{1}{9} +4\frac{1}{3}](https://tex.z-dn.net/?f=%3D-2%5Cfrac%7B1%7D%7B9%7D%20%2B4%5Cfrac%7B1%7D%7B3%7D)
We first convert the mixed numbers to improper fractions to obtain,
![=-\frac{2\times9+1}{9} +\frac{4\times3+1}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B2%5Ctimes9%2B1%7D%7B9%7D%20%2B%5Cfrac%7B4%5Ctimes3%2B1%7D%7B3%7D)
We carry out the multiplication in the numerator to get,
![=-\frac{18+1}{9} +\frac{12+1}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B18%2B1%7D%7B9%7D%20%2B%5Cfrac%7B12%2B1%7D%7B3%7D)
We add in the numerator to get,
![=-\frac{19}{9} +\frac{13}{3}](https://tex.z-dn.net/?f=%3D-%5Cfrac%7B19%7D%7B9%7D%20%2B%5Cfrac%7B13%7D%7B3%7D)
The least common denominator is
.
![=\frac{-19+13\times3}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-19%2B13%5Ctimes3%7D%7B9%7D)
![=\frac{-19+39}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-19%2B39%7D%7B9%7D)
![=\frac{20}{9}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B20%7D%7B9%7D)
We convert back to mixed numbers to get,
![=2\frac{2}{9}](https://tex.z-dn.net/?f=%3D2%5Cfrac%7B2%7D%7B9%7D)
Find the length of the line from A to C, which would be the radius using the distance formula:
Distance = √(-5 +1)^2 + 1+2)^2)
Distance = √(4^2 + 3^2)
Distance = √25
Distance = 5
The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.
The center of the circle is located at A ( -1,-2) and the radius is 5.
Replace h, k and r with those values:
(x - (-1))^2 + (y- (-2))^2 = 5^2
Simplify to get:
(x+1)^2 + (y+2)^2 = 25