Answer:
(b) ![\displaystyle -\frac{1}{2} = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-%5Cfrac%7B1%7D%7B2%7D%20%3D%20m)
(a) ![\displaystyle 2 = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%20%3D%20m)
Step-by-step explanation:
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], whereas Parallel Lines have SIMILAR <em>RATE OF CHANGES</em> [SLOPES].
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Answer:
I THINK MAYBE C hope this helps
Step-by-step explanation:
Answer:
![y=-\dfrac{1}{2}(x+4)^2-1](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%28x%2B4%29%5E2-1)
Step-by-step explanation:
Vertex form:
where:
is the vertex
is some constant
Given:
- vertex = (-4, -1)
- point on parabola = (-2, -3)
Substitute given values into the formula to find
:
![\implies -3=a((-2)-(-4))^2+(-1)](https://tex.z-dn.net/?f=%5Cimplies%20-3%3Da%28%28-2%29-%28-4%29%29%5E2%2B%28-1%29)
![\implies -3=a(2)^2-1](https://tex.z-dn.net/?f=%5Cimplies%20-3%3Da%282%29%5E2-1)
![\implies -3=4a-1](https://tex.z-dn.net/?f=%5Cimplies%20-3%3D4a-1)
![\implies -2=4a](https://tex.z-dn.net/?f=%5Cimplies%20-2%3D4a)
![\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cimplies%20a%3D-%5Cdfrac%7B2%7D%7B4%7D%3D-%5Cdfrac%7B1%7D%7B2%7D)
Therefore, the equation of the parabola is:
![y=-\dfrac{1}{2}(x+4)^2-1](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B2%7D%28x%2B4%29%5E2-1)
Answer:
ASA
Step-by-step explanation:
..................
Parallel has same slope = -1/11
answer is B. -1/11