slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
Answer:
y=-0.215x^2+35
Step by Step:
Let,
,
,
, ![y=21](https://tex.z-dn.net/?f=y%3D21)
We know that, the general equation of the parabola.
![y-k = a(x-h)^2](https://tex.z-dn.net/?f=y-k%20%3D%20a%28x-h%29%5E2)
![\Rightarrow y=a(x-h)^2+k .........(i)](https://tex.z-dn.net/?f=%5CRightarrow%20y%3Da%28x-h%29%5E2%2Bk%20%20.........%28i%29)
Substitute the value of
in equation
and find the value of ![a.](https://tex.z-dn.net/?f=a.)
![21=a(8-0)^2+35](https://tex.z-dn.net/?f=21%3Da%288-0%29%5E2%2B35)
![\Rightarrow 21=a\times 8^2+35](https://tex.z-dn.net/?f=%5CRightarrow%2021%3Da%5Ctimes%208%5E2%2B35)
![\Rightarrow 21=64a+35](https://tex.z-dn.net/?f=%5CRightarrow%2021%3D64a%2B35)
![\Rightarrow 64a=21-35](https://tex.z-dn.net/?f=%5CRightarrow%2064a%3D21-35)
![\Rightarrow 64a=-14](https://tex.z-dn.net/?f=%5CRightarrow%2064a%3D-14)
![\Rightarrow a=\frac{-14}{65}](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D%5Cfrac%7B-14%7D%7B65%7D)
![\Rightarrow a=-0.215](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D-0.215)
Hence, the equation of the parabola is:
![y=-0.215x^2+35](https://tex.z-dn.net/?f=y%3D-0.215x%5E2%2B35)
Answer:
A
Step-by-step explanation:
-5 - 3(-6) > 10
-5 - -18 > 10
-5 + 18 > 10
13 > 10
.15 cents. You do the money divided by the ounces or weight.