Answer: x2+17x+3
Step-by-step explanation:
2x2+7x−x2+10x+3
=2x2+7x+−x2+10x+3
Combine Like Terms:
=2x2+7x+−x2+10x+3
=(2x2+−x2)+(7x+10x)+(3)
=x2+17x+3
Answer: 44) 25 45) 4 46) 27
<u>Step-by-step explanation:</u>
Filling in the Venn Diagram (from left to right, including outside of circles):
S only = 14
S ∩ F = 1
F only = 26
S ∩ B = 7
S ∩ B ∩ F = 4 --> answer to #45
F ∩ B = 14
B only = 10
<u>(S ∪ F ∪ B)' = 25</u> --> answer to #44
Total = 100
46) F total - (F ∩ B)
= 45 - 18
= 27
2y^2 (3x+5z)
6xy^2 + 10zy^2
Answers
b = 2.77 m
A = 43.0°
C = 111.1°
cosine law to find b
![b^2 = a^2 + c^2 -2ac \cos B \\ \\ b = \sqrt{a^2 + c^2 -2ac \cos B} \\ \\ b = \sqrt{4.33^2 + 5.92^2 - 2(4.33)(5.92) \cos 25.9} \\ b = 2.7708\ m](https://tex.z-dn.net/?f=b%5E2%20%3D%20a%5E2%20%2B%20c%5E2%20-2ac%20%5Ccos%20B%20%5C%5C%20%5C%5C%0Ab%20%3D%20%5Csqrt%7Ba%5E2%20%2B%20c%5E2%20-2ac%20%5Ccos%20B%7D%20%5C%5C%20%5C%5C%0Ab%20%3D%20%5Csqrt%7B4.33%5E2%20%2B%205.92%5E2%20-%202%284.33%29%285.92%29%20%5Ccos%2025.9%7D%20%5C%5C%0Ab%20%3D%202.7708%5C%20m)
b = 2.7708\ m
Find angle A with sine law
![\displaystyle \frac{\sin A}{a} = \frac{\sin B}{b} \\ \\ \sin A = \frac{a \sin B}{b} \\ \\ A = \sin^{-1} \left[ \frac{a \sin B}{b} \right] \\ \\ A = \sin^{-1} \left[ \frac{4.33 \sin 25.9}{2.7708} \right] \\ \\ A = 43.0467020](https://tex.z-dn.net/?f=%5Cdisplaystyle%0A%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7B%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0A%5Csin%20A%20%3D%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7Ba%20%5Csin%20B%7D%7Bb%7D%20%20%5Cright%5D%20%5C%5C%20%5C%5C%0AA%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B4.33%20%5Csin%2025.9%7D%7B2.7708%7D%20%20%5Cright%5D%20%20%5C%5C%20%5C%5C%0AA%20%3D%2043.0467020)
Find C with angles in triangle sum to 180
A + B + C = 180
C = 180 - A - B
C = 180 - 43.0467020 - 25.9
C = 111.1