Answer: c
Step-by-step explanation:hope this helps
Answer:
0
Step-by-step explanation:
(0,-9) could be a solution
Answer:
,
, ![cd=61](https://tex.z-dn.net/?f=cd%3D61)
Step-by-step explanation:
In this problem we have that
![bd=bc+cd](https://tex.z-dn.net/?f=bd%3Dbc%2Bcd)
we have
![bd=7x-10](https://tex.z-dn.net/?f=bd%3D7x-10)
![bc=4x-29](https://tex.z-dn.net/?f=bc%3D4x-29)
![cd=5x-9](https://tex.z-dn.net/?f=cd%3D5x-9)
substitute the values and solve for x
![7x-10=(4x-29)+(5x-9)](https://tex.z-dn.net/?f=7x-10%3D%284x-29%29%2B%285x-9%29)
Group terms that contain the same variable in the right sides
![7x-10=(4x+5x)+(-29-9)](https://tex.z-dn.net/?f=7x-10%3D%284x%2B5x%29%2B%28-29-9%29)
Combine like terms in the right side
![7x-10=9x-38](https://tex.z-dn.net/?f=7x-10%3D9x-38)
![9x-7x=-10+38](https://tex.z-dn.net/?f=9x-7x%3D-10%2B38)
![2x=28](https://tex.z-dn.net/?f=2x%3D28)
![x=14](https://tex.z-dn.net/?f=x%3D14)
<u><em>Find the value of bd</em></u>
![bd=7(14)-10=88](https://tex.z-dn.net/?f=bd%3D7%2814%29-10%3D88)
Find the value of bc
![bc=4(14)-29=27](https://tex.z-dn.net/?f=bc%3D4%2814%29-29%3D27)
<u><em>Find the value of cd</em></u>
![cd=5(14)-9=61](https://tex.z-dn.net/?f=cd%3D5%2814%29-9%3D61)
Answer:
![\sqrt{117}](https://tex.z-dn.net/?f=%20%5Csqrt%7B117%7D%20)
Step-by-step explanation:
Use the distance formula.
![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
![d = \sqrt{(-1 - 5)^2 + (3 - (-6))^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28-1%20-%205%29%5E2%20%2B%20%283%20-%20%28-6%29%29%5E2%7D%20)
![d = \sqrt{(-6)^2 + 9^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28-6%29%5E2%20%2B%209%5E2%7D%20)
![d = \sqrt{36 + 81}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B36%20%2B%2081%7D%20)
![d = \sqrt{117}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B117%7D%20)