Answer:
Step-by-step explanation:
(cos A+ cos B)-cos C
![=2cos \frac{A+B}{2}cos \frac{A-B}{2}-cos C~~~...(1)\\A+B+C=180\\A+B=180-C\\\frac{A+B}{2}=90-\frac{C}{2}\\cos \frac{A+B}{2}=cos(90-\frac{C}{2})=sin \frac{C}{2}\\cos C=1-2sin^2\frac{C}{2}\\(1)=2 sin \frac{C}{2} cos \frac{A-B}{2}-1+2sin^2\frac{C}2}\\=2sin\frac{C}{2}[cos \frac{A-B}{2}+sin \frac{C}{2}]-1~~~...(2)\\\\now~again~A+B+C=180\\C=180-(A+B)\\sin\frac{C}{2}=sin(90-\frac{A+B}{2})=cos \frac{A+B}{2}\\(2)=2sin\frac {C}{2}[cos \frac{A-B}{2}+cos \frac{A+B}{2}]-1\\](https://tex.z-dn.net/?f=%3D2cos%20%5Cfrac%7BA%2BB%7D%7B2%7Dcos%20%5Cfrac%7BA-B%7D%7B2%7D-cos%20C~~~...%281%29%5C%5CA%2BB%2BC%3D180%5C%5CA%2BB%3D180-C%5C%5C%5Cfrac%7BA%2BB%7D%7B2%7D%3D90-%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20%5Cfrac%7BA%2BB%7D%7B2%7D%3Dcos%2890-%5Cfrac%7BC%7D%7B2%7D%29%3Dsin%20%5Cfrac%7BC%7D%7B2%7D%5C%5Ccos%20C%3D1-2sin%5E2%5Cfrac%7BC%7D%7B2%7D%5C%5C%281%29%3D2%20sin%20%5Cfrac%7BC%7D%7B2%7D%20cos%20%5Cfrac%7BA-B%7D%7B2%7D-1%2B2sin%5E2%5Cfrac%7BC%7D2%7D%5C%5C%3D2sin%5Cfrac%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bsin%20%5Cfrac%7BC%7D%7B2%7D%5D-1~~~...%282%29%5C%5C%5C%5Cnow~again~A%2BB%2BC%3D180%5C%5CC%3D180-%28A%2BB%29%5C%5Csin%5Cfrac%7BC%7D%7B2%7D%3Dsin%2890-%5Cfrac%7BA%2BB%7D%7B2%7D%29%3Dcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5C%5C%282%29%3D2sin%5Cfrac%20%7BC%7D%7B2%7D%5Bcos%20%5Cfrac%7BA-B%7D%7B2%7D%2Bcos%20%5Cfrac%7BA%2BB%7D%7B2%7D%5D-1%5C%5C)
<span>(5ab + 2a - 4) - (6ab - 6) = 2a - ab + 2
hope it helps</span>
Answer:
The key fact about the enlargement, scale factor > 1
The key fact about the reduction, 0 < scale factor < 1
Step-by-step explanation:
<em>Let us explain what is the dilation?</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does not change.
-
The scale factor measures how much larger or smaller the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
Enlargement means the image of a figure after dilation is larger than the original figure
Reduction means the image of a figure after dilation is smaller than the original figure
The key fact about the enlargement is that the scale factor of dilation must be greater than 1 ⇒ scale factor > 1
The key fact about the reduction is that the scale factor of dilation must be between 0 and 1 ⇒ 0 < scale factor < 1
X= 4 or x= -10
You can factorise to (x+10)(x-4)
Make equal to 0 and solve each bracket
