Answer:
![\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%3D-%5Cdfrac%7B1%7D%7B9%7Dx%5E2%20%2B%5Cdfrac%7B2%7D%7B9%7Dx%2B%5Cdfrac%7B89%7D%7B9%7D%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B1%7D%7B8%7Dx%5E2%20-7%5Cend%7Barray%7D%5Cright.)
Step-by-step explanation:
1st boat:
Parabola equation:
![y=ax^2 +bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%20%2Bbx%2Bc)
The x-coordinate of the vertex:
![x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7Bb%7D%7B2a%7D%5CRightarrow%20-%5Cdfrac%7Bb%7D%7B2a%7D%3D1%5C%5C%20%5C%5Cb%3D-2a)
Equation:
![y=ax^2 -2ax+c](https://tex.z-dn.net/?f=y%3Dax%5E2%20-2ax%2Bc)
The y-coordinate of the vertex:
![y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10](https://tex.z-dn.net/?f=y_v%3Da%5Ccdot%201%5E2-2a%5Ccdot%201%2Bc%5CRightarrow%20a-2a%2Bc%3D10%5C%5C%20%5C%5Cc-a%3D10)
Parabola passes through the point (-8,1), so
![1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20%28-8%29%5E2-2a%5Ccdot%20%28-8%29%2Bc%5C%5C%20%5C%5C80a%2Bc%3D1)
Solve:
![c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}](https://tex.z-dn.net/?f=c%3D10%2Ba%5C%5C%20%5C%5C80a%2B10%2Ba%3D1%5C%5C%20%5C%5C81a%3D-9%5C%5C%20%5C%5Ca%3D-%5Cdfrac%7B1%7D%7B9%7D%5C%5C%20%5C%5Cb%3D-2a%3D%5Cdfrac%7B2%7D%7B9%7D%5C%5C%20%5C%5Cc%3D10-%5Cdfrac%7B1%7D%7B9%7D%3D%5Cdfrac%7B89%7D%7B9%7D)
Parabola equation:
![y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B9%7Dx%5E2%20%2B%5Cdfrac%7B2%7D%7B9%7Dx%2B%5Cdfrac%7B89%7D%7B9%7D)
2nd boat:
Parabola equation:
![y=ax^2 +bx+c](https://tex.z-dn.net/?f=y%3Dax%5E2%20%2Bbx%2Bc)
The x-coordinate of the vertex:
![x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0](https://tex.z-dn.net/?f=x_v%3D-%5Cdfrac%7Bb%7D%7B2a%7D%5CRightarrow%20-%5Cdfrac%7Bb%7D%7B2a%7D%3D0%5C%5C%20%5C%5Cb%3D0)
Equation:
![y=ax^2+c](https://tex.z-dn.net/?f=y%3Dax%5E2%2Bc)
The y-coordinate of the vertex:
![y_v=a\cdot 0^2+c\Rightarrow c=-7](https://tex.z-dn.net/?f=y_v%3Da%5Ccdot%200%5E2%2Bc%5CRightarrow%20c%3D-7)
Parabola passes through the point (-8,1), so
![1=a\cdot (-8)^2-7\\ \\64a-7=1](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20%28-8%29%5E2-7%5C%5C%20%5C%5C64a-7%3D1)
Solve:
![a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7](https://tex.z-dn.net/?f=a%3D-%5Cdfrac%7B1%7D%7B8%7D%5C%5C%20%5C%5Cb%3D0%5C%5C%20%5C%5Cc%3D-7)
Parabola equation:
![y=\dfrac{1}{8}x^2 -7](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B1%7D%7B8%7Dx%5E2%20-7)
System of two equations:
![\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dy%3D-%5Cdfrac%7B1%7D%7B9%7Dx%5E2%20%2B%5Cdfrac%7B2%7D%7B9%7Dx%2B%5Cdfrac%7B89%7D%7B9%7D%5C%5C%20%5C%5Cy%3D%5Cdfrac%7B1%7D%7B8%7Dx%5E2%20-7%5Cend%7Barray%7D%5Cright.)
Answer:
Mark brainliest
Step-by-step explanation:
1. E
2. C
3. F
4. B
5. D
6. A
Answer:
i think the 2nd one
Step-by-step explanation:
13. LT 4.2 - I can prove triangles congruent by SSS, SAS, ASA, and AAS. 14. What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
Answer:
152.7 yd
Step-by-step explanation:
I presume that there is a fence around the perimeter and separating the various plots.
AG = BF = CE = 18 yd
GH = DE = 12 yd
EO² = DE² + DO²
1 5² = 12² + DO²
225 = 144 + DO²
81 = DO²
DO = 9
BC = DO = EF = 9 yd
AC = DH = EG = 17 yd
AO² = AB² + BO² = 8² + 6² = 64 + 36 =100
AO = √100 = 10 yd
CO² = BC² + BO² = 9² + 6² = 81 + 36 = 127
CO = √127 yd
GO² = FG² + FO² = 8² + 12² =64 + 144 = 208
GO = √208 = 4√13 yd
Fencing needed
= (AC + DH + EG) + (AG + BF + CE) + AO + CO + EO + GO
= (3 × 17) + 3 × 18) + 10 + √127 + 15 + 4√13
= 51 + 54 + 25 + 11.27 + 14.42
= 152.7 yd