Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
![d=\sqrt{(-3-(-9))^2+(-2-3)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-%28-9%29%29%5E2%2B%28-2-3%29%5E2%7D)
![d=\sqrt{(-3+9)^2+(-5)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3%2B9%29%5E2%2B%28-5%29%5E2%7D)
![d=\sqrt{(6)^2+(-5)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%286%29%5E2%2B%28-5%29%5E2%7D)
On further simplification, we get
![d=\sqrt{36+25}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B36%2B25%7D)
![d=\sqrt{61}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B61%7D)
Therefore, the distance between the given points is
units.
Answer:
4 quarters. Each quarter costs 25 cents. 25 x 4=100. There are 100 cents in a 1 dollar, so that's why 4 quarters= 1 dollar.
The full sequence from 3 to 21 is...
3, 5, 7, 9, 11, 13, 15, 17, 19, 21
Now first add 3 and 5 to get 8. Then 8 and 7 to get 15. After, add 15 and 9 to get 24 and furthermore.
(24+11=35 --> 35+13=48 --> 48+15=63 --> 63+17=80 --> 80+19=99 --> 99+21=120)
So I believe the sum of the sequence is 120
I hope this helps!
Since y=x+1 you get your first x value which is 2 and add one which is 3. Your first coordinate is (2,3) now the second one is 5 so 5+1=6 meaning your coordinate is (5,6) and so on a so forth so technically just add one to the x able and use your x value and the new value you just solved for to create the new coordinate to graph