You can plug in the numbers to check.
Y - 2x > 17
(8) -2(-5) > 17
8 + 10 > 17
18 > 17
This is true so
Final answer:
Yes, (-5,8) is a solution
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (6, 2) and (9, r), the slope m = -1. Substitute:
![-1=\dfrac{r-2}{9-6}\\\\-1=\dfrac{r-2}{3}\qquad\text{multiply both sides by 3}\\\\-3=r-2\qquad\text{add 2 to both sides}\\\\\boxed{r=-1}](https://tex.z-dn.net/?f=-1%3D%5Cdfrac%7Br-2%7D%7B9-6%7D%5C%5C%5C%5C-1%3D%5Cdfrac%7Br-2%7D%7B3%7D%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C-3%3Dr-2%5Cqquad%5Ctext%7Badd%202%20to%20both%20sides%7D%5C%5C%5C%5C%5Cboxed%7Br%3D-1%7D)
Let Fn be the number of ways of arranging such flagpole with the given conditions.
When arranging a flagpole of n feet high, consider the following cases
If the last flag used is a red flag, then the other flags are n-1 foot high, so they can be seen as arranged on a smaller flagpole of n-1 feet high, which can be done in Fn-1 ways.
Similarly, If the last flag used is a gold flag, then the other flags can be seen as arranged on a smaller flagpole of n-1 feet high. This can be done in Fn-1 ways.
If the last flag used is green, the other flags are n-2 feet high, so the flagpole can be arranged in Fn-2 ways.
Using the sum rule, we obtain that Fn = 2Fn-1 + Fn-2 for all n≥3. Listing all the combinations of flags, the initial conditions are F1 = 2 and F2 = 3.
To Learn more about similar flagpole questions:
brainly.com/question/14277535
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Answer: At most 3
Step-by-step explanation:
If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.
The first sock you pick would be either White or Red
The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.
The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.
You will therefore have at least a matching pair after 3 tries.
Answer:
have a great day
sor I dk others
sorry I gave just example