Answer:
1. ![2(x+2)(x+5)](https://tex.z-dn.net/?f=2%28x%2B2%29%28x%2B5%29)
2. ![8(x+4)^{2}](https://tex.z-dn.net/?f=8%28x%2B4%29%5E%7B2%7D)
Step-by-step explanation:
<u>Problem #1:</u>
1. Find the GCF (Greatest Common Factor)
![GCF = 2](https://tex.z-dn.net/?f=GCF%20%3D%202)
2. Factor out the GCF and simplify.
![2(x^{2} +7x+10)](https://tex.z-dn.net/?f=2%28x%5E%7B2%7D%20%2B7x%2B10%29)
3. Factor ![x^{2} +7x+10](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B7x%2B10)
<u>Which two numbers add up to 7 and multiply to 10?</u>
2 and 5
<u>Rewrite the expression using the above.</u>
![(x+2)(x+5)](https://tex.z-dn.net/?f=%28x%2B2%29%28x%2B5%29)
4. Done!
![2(x+2)(x+5)](https://tex.z-dn.net/?f=2%28x%2B2%29%28x%2B5%29)
<u>Problem #2:</u>
1. Find the GCF (Greatest Common Factor)
![GCF=8](https://tex.z-dn.net/?f=GCF%3D8)
2. Factor out the GCF and simplify.
![8(x^{2} +8x+16)](https://tex.z-dn.net/?f=8%28x%5E%7B2%7D%20%2B8x%2B16%29)
3. Use the perfect square formula. ![a^{2} +2ab+b^{2} =(a+b)^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B2ab%2Bb%5E%7B2%7D%20%3D%28a%2Bb%29%5E%7B2%7D)
![a = x\\b=4](https://tex.z-dn.net/?f=a%20%3D%20x%5C%5Cb%3D4)
![(x+4)^{2}](https://tex.z-dn.net/?f=%28x%2B4%29%5E%7B2%7D)
4. Done!
![8(x+4)^{2}](https://tex.z-dn.net/?f=8%28x%2B4%29%5E%7B2%7D)
Answer: -0.10
Step-by-step explanation:
there is a pattern because 2014 0.45, 2015 0.20, 2016 0.35, 2016 0.10.
Answer: Y=-3x+5
Explanation:
Answer:
Area is 154 square meters
Step-by-step explanation:
Well lets think about this
If I take a rectangle and cut it into half diagonally I would get 2 triangles right?
So if I have 2 triangles of the same height and base I can make a rectangle
to find the area of a rectangle I do length times width
So lets take our scalene triangle and multiply our base with its width and then divide by 2
22*14 = 308
308/2 is 154