Answer:
-296=2×2+20×-15that is the answer
Step-by-step explanation:
you need to calculate the equation step by step to get to the answer
Answer:
![b=1](https://tex.z-dn.net/?f=b%3D1)
Step-by-step explanation:
The given rational equation is
![\frac{2b-5}{b-2} -2=\frac{3}{b+2}](https://tex.z-dn.net/?f=%5Cfrac%7B2b-5%7D%7Bb-2%7D%20-2%3D%5Cfrac%7B3%7D%7Bb%2B2%7D)
The Least Common Denominator is
.
Multiply each term in the equation by the LCD.
![(b+2)(b-2)\times \frac{2b-5}{b-2} -(b+2)(b-2)\times2=(b+2)(b-2)\times\frac{3}{b+2}](https://tex.z-dn.net/?f=%28b%2B2%29%28b-2%29%5Ctimes%20%5Cfrac%7B2b-5%7D%7Bb-2%7D%20-%28b%2B2%29%28b-2%29%5Ctimes2%3D%28b%2B2%29%28b-2%29%5Ctimes%5Cfrac%7B3%7D%7Bb%2B2%7D)
Simplify;
![(b+2)\times \frac{2b-5}{1} -2(b+2)(b-2)=(b-2)\times\frac{3}{1}](https://tex.z-dn.net/?f=%28b%2B2%29%5Ctimes%20%5Cfrac%7B2b-5%7D%7B1%7D%20-2%28b%2B2%29%28b-2%29%3D%28b-2%29%5Ctimes%5Cfrac%7B3%7D%7B1%7D)
![(b+2)(2b-5) -2(b+2)(b-2)=3(b-2)](https://tex.z-dn.net/?f=%28b%2B2%29%282b-5%29%20-2%28b%2B2%29%28b-2%29%3D3%28b-2%29)
Expand and group similar terms
![2b^2-5b+4b-10 -2(b^2-4)=3b-6](https://tex.z-dn.net/?f=2b%5E2-5b%2B4b-10%20-2%28b%5E2-4%29%3D3b-6)
![2b^2-5b+4b-10 -2b^2+8=3b-6](https://tex.z-dn.net/?f=2b%5E2-5b%2B4b-10%20-2b%5E2%2B8%3D3b-6)
![-b-2=3b-6](https://tex.z-dn.net/?f=-b-2%3D3b-6)
![3b+b=-2+6](https://tex.z-dn.net/?f=3b%2Bb%3D-2%2B6)
![4b=4](https://tex.z-dn.net/?f=4b%3D4)
![b=1](https://tex.z-dn.net/?f=b%3D1)
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
![(x,y)\to (x,2k-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C2k-y%29)
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
![(2, - 4)\to (2,2( - 1)- - 4)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C2%28%20-%201%29-%20-%204%29)
This simplifies to,
![(2, - 4)\to (2, - 2 + 4)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C%20-%202%20%2B%204%29)
![(2, - 4)\to (2, 2)](https://tex.z-dn.net/?f=%282%2C%20-%204%29%5Cto%20%282%2C%202%29)
Hence the image is (2,2)
<span>7x - 5y =21
-7 -7
5y = 14
---- -----
5 5
y= 2.8
(4,2.8)</span>