Expand the left and the right side .
![3x + 2x + 8 = x - x - 2](https://tex.z-dn.net/?f=3x%20%2B%202x%20%2B%208%20%3D%20x%20-%20x%20-%202)
then you simplify
![5x + 8 = - 2](https://tex.z-dn.net/?f=5x%20%2B%208%20%3D%20%20-%202)
then continue ...
you will get x = -2
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2
Hello from MrBillDoesMath
Answer: SAS, the second choice
Discussion:
The sides with a single "tick mark" in each triangle have the same length.
The sides with two "tick marks" in each triangle have the same length.
Finally the angle shown in each triangle is the same.
Hence we have congruence by S(ide)-A(ngle)-S(ide) which is the second bullet point from the top of the list.
Thank you,
Mr. B
Answer:
6700.6 BTU
Step-by-step explanation:
First you have to warm the block from -15° F to 32°F, the heat to needed to do this is:
![Q_{1}=mc\Delta T=20lb*0.49\frac{BTU}{lbF} *(32F-(-15F))=460.6BTU](https://tex.z-dn.net/?f=Q_%7B1%7D%3Dmc%5CDelta%20T%3D20lb%2A0.49%5Cfrac%7BBTU%7D%7BlbF%7D%20%2A%2832F-%28-15F%29%29%3D460.6BTU)
After you need to melt the ice. The heat you need is:
![Q_{2}=mL=20lb*144\frac{BTU}{lb}=2880BTU](https://tex.z-dn.net/?f=Q_%7B2%7D%3DmL%3D20lb%2A144%5Cfrac%7BBTU%7D%7Blb%7D%3D2880BTU)
Finally, you need to heat the water from 32° F to 200 ° F, and the heat for this is:
![Q_{3}=mc\Delta T=20lb*1\frac{BTU}{lbF} *(200F-32F)=3360BTU](https://tex.z-dn.net/?f=Q_%7B3%7D%3Dmc%5CDelta%20T%3D20lb%2A1%5Cfrac%7BBTU%7D%7BlbF%7D%20%2A%28200F-32F%29%3D3360BTU)
To have the total heat you used you have to su
and
The angle with the largest measure is opposite the longest side. The longest side is 12. It is opposite angle B. The appropriate choice is ...
B. ∠B