Answer:
57
Step-by-step explanation:
( 27 + 19 + 41 + 51 + 29 + 35 + k ) / 7 = 37
202 + k = 37 x 7
202 + k = 259
k = 259 - 202
k = 57
Answer:
C. 44 cm, 30cm, and 16 cm
Step-by-step explanation:
Sana nakatulong
Answer:
See below, please
Step-by-step explanation:
The right:
![{(y + c)}^{2} - b \times (x + a) \\ = ( {y}^{2} + 2yc + {c}^{2} ) - bx - ba =](https://tex.z-dn.net/?f=%20%7B%28y%20%2B%20c%29%7D%5E%7B2%7D%20%20-%20b%20%5Ctimes%20%28x%20%2B%20a%29%20%5C%5C%20%20%3D%20%28%20%7By%7D%5E%7B2%7D%20%20%2B%202yc%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%29%20-%20bx%20-%20ba%20%20%3D%20%20)
![= {y}^{2} - bx + 2cy + {c}^{2} - ab](https://tex.z-dn.net/?f=%20%3D%20%7By%7D%5E%7B2%7D%20%20-%20bx%20%2B%202cy%20%2B%20%20%7Bc%7D%5E%7B2%7D%20%20-%20ab)
The left:
![= {y}^{2} - 7x - 18y + 109](https://tex.z-dn.net/?f=%20%3D%20%20%7By%7D%5E%7B2%7D%20%20-%207x%20-%2018y%20%2B%20109)
So, after comparing the right side and the left side of this equation, we know
1)
![b = 7](https://tex.z-dn.net/?f=b%20%3D%207)
2)
![2c = - 18 \\ so \\ c = - 9](https://tex.z-dn.net/?f=2c%20%3D%20%20-%2018%20%5C%5C%20so%20%5C%5C%20c%20%3D%20%20-%209)
3)
![{c}^{2} - ab = 109](https://tex.z-dn.net/?f=%20%7Bc%7D%5E%7B2%7D%20%20-%20ab%20%3D%20109)
So,
![a = \frac{ {c}^{2} - 109}{b} = \frac{ { (- 9)}^{2} - 109}{7} = \frac{ - 28}{7} = - 4](https://tex.z-dn.net/?f=a%20%3D%20%20%5Cfrac%7B%20%7Bc%7D%5E%7B2%7D%20%20-%20109%7D%7Bb%7D%20%20%3D%20%20%5Cfrac%7B%20%7B%20%28-%209%29%7D%5E%7B2%7D%20%20-%20109%7D%7B7%7D%20%20%3D%20%20%5Cfrac%7B%20-%2028%7D%7B7%7D%20%20%3D%20%20-%204)
Answer:
reflection then translation
Step-by-step explanation:
you reflected of the y axis and then you translated 2 left and 5 up which brings you to 3
The answer is 705.6 cm^3.
Remember that volume of a box, rectangular prism, is: V = LWH.
So, V = 7(9)(11.2) = 705.6 cm^3