Answer:
C) No, their slopes are not opposite reciprocals.
Step-by-step explanation:
First we find the slopes.
slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4
slope of RS = (-3 - 1)/(6 - 3) = -4/3
product of the slopes = (-3/4) * (-4/3) = 1
The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.
Answer:
16
x²
Step-by-step explanation:hope this helps and maybe you could give me a brainlist?
Factor it out first so:
y=(x+13)(x-2)
Then you know that x= -13 and 2 to make the equation 0
Hope this helps!
Let's rewrite the binomial as:
![(1 - 2x)^{19}](https://tex.z-dn.net/?f=%281%20-%202x%29%5E%7B19%7D)
![\text{Binomial expansion:} (1 + x)^{n} = \sum_{r = 0}^n\left(\begin{array}{ccc}n\\r\end{array}\right) (x)^{r}](https://tex.z-dn.net/?f=%5Ctext%7BBinomial%20expansion%3A%7D%20%281%20%2B%20x%29%5E%7Bn%7D%20%3D%20%5Csum_%7Br%20%3D%200%7D%5En%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cr%5Cend%7Barray%7D%5Cright%29%20%28x%29%5E%7Br%7D)
Using the binomial expansion, we get:
![\text{Binomial expansion: } (1 - 2x)^{19} = \sum_{r = 0}^{19}\left(\begin{array}{ccc}19\\r\end{array}\right) (-2x)^{r}](https://tex.z-dn.net/?f=%5Ctext%7BBinomial%20expansion%3A%20%7D%20%281%20-%202x%29%5E%7B19%7D%20%3D%20%5Csum_%7Br%20%3D%200%7D%5E%7B19%7D%5Cleft%28%5Cbegin%7Barray%7D%7Bccc%7D19%5C%5Cr%5Cend%7Barray%7D%5Cright%29%20%28-2x%29%5E%7Br%7D)
For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.
Thus, the fifteenth term is:
Answer:
find the graph where y is 3 less than x in value
Step-by-step explanation:
the answer explains it if you showed us the graphs we would be able to answer it for you