Answer:
10x^2 -623x +2
Step-by-step explanation:
the numbers were put in weird so im not sure if this is the answer you were looking for, but thats what i got
Answer:
4(3 + 2x)(-3 + 2x)
Step-by-step explanation:
Answer:
63.966
Step-by-step explanation:
Area of a kite is
![\frac{pq}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bpq%7D%7B2%7D%20)
where p and q are the diagonals.
The horinzontial diagonal is 8.
We need to find the vertical diagonal length.
The top triangle diagonal measure is
![{4}^{2} + {x}^{2} = {7}^{2}](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B7%7D%5E%7B2%7D%20)
![16 + {x}^{2} = 49](https://tex.z-dn.net/?f=16%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%2049)
![{x}^{2} = 33](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%2033)
![x = \sqrt{33}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B33%7D%20)
The bottom triangle diagonal measure is
![{4}^{2} + {x}^{2} = {11}^{2}](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%7B11%7D%5E%7B2%7D%20)
![1 6 + {x}^{2} = 121](https://tex.z-dn.net/?f=1%206%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%3D%20121)
![{x}^{2} = 105](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20105)
![x = \sqrt{105}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B105%7D%20)
Add the two diagonals.
![\sqrt{105} + \sqrt{33}](https://tex.z-dn.net/?f=%20%5Csqrt%7B105%7D%20%20%2B%20%20%5Csqrt%7B33%7D%20)
Substitute this in for the formula
![\frac{8 \times ( \sqrt{105} + \sqrt{33} }{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%20%5Ctimes%20%28%20%5Csqrt%7B105%7D%20%20%2B%20%5Csqrt%7B33%7D%20%20%7D%7B2%7D%20)
Which simplified gu
Ives us
![63.966](https://tex.z-dn.net/?f=63.966)
Round if neededd.
Answer:
Step-by-step explanation:
y=-\frac{1}{2}x+\frac{11}{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