D = √(y2-y1)² + (x2-x1)²
d = √(-3+19)² + (-2+12)²
d = √16² + 10²
d = √256 + 100
d = √356
d = 18.87 units
In short, Your Answer would be: 18.87 units
Hope this helps!
Answer:
<u>The result is zero:</u>
The sign is neither positive nor negative
Answer:
-4.5
Step-by-step explanation:
I hope this helps!
Answer:
Option 1 the given sequence is a geometric.
Step-by-step explanation:
We have been given with the series
![200,40,8,1.6](https://tex.z-dn.net/?f=200%2C40%2C8%2C1.6)
Arithmetic sequence is the sequence in which difference between consecutive terms is same that is common difference d
![d=a_2-a_1](https://tex.z-dn.net/?f=d%3Da_2-a_1)
here![a_2=40,a_1=200](https://tex.z-dn.net/?f=a_2%3D40%2Ca_1%3D200)
here![a_2=8,a_1=40](https://tex.z-dn.net/?f=a_2%3D8%2Ca_1%3D40)
We can see the difference is not same
Hence, the given sequence is not arithmetic sequence.
Geometric sequence is the sequence in which ratio of consecutive terms is same that is common ratio r
![r=\frac{a_2}{a_1}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D)
here![a_2=40,a_1=200](https://tex.z-dn.net/?f=a_2%3D40%2Ca_1%3D200)
here![a_2=8,a_1=40](https://tex.z-dn.net/?f=a_2%3D8%2Ca_1%3D40)
here![a_2=1.6,a_1=8](https://tex.z-dn.net/?f=a_2%3D1.6%2Ca_1%3D8)
We can see the ratio is same.
Hence, given sequence is geometric
Therefore, Option 1 is correct given sequence is geometric.
The x-coordinate of the given endpoint will be "
".
According to the question,
The end points are:
Distance,
As we know,
The distance formula,
→ ![Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=Distance%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
By substituting the values, we get
→ ![6\sqrt{6} = \sqrt{(x-4)^2+(9+1)^2}](https://tex.z-dn.net/?f=6%5Csqrt%7B6%7D%20%3D%20%5Csqrt%7B%28x-4%29%5E2%2B%289%2B1%29%5E2%7D)
→ ![216= (x-4)^2+100](https://tex.z-dn.net/?f=216%3D%20%28x-4%29%5E2%2B100)
→ ![(x-4)^2 = 116](https://tex.z-dn.net/?f=%28x-4%29%5E2%20%3D%20116)
→ ![x-4 = \pm \sqrt{116}](https://tex.z-dn.net/?f=x-4%20%3D%20%5Cpm%20%5Csqrt%7B116%7D)
→ ![x-4=\pm 2\sqrt{29}](https://tex.z-dn.net/?f=x-4%3D%5Cpm%202%5Csqrt%7B29%7D)
→
Thus the above answer is right.
Learn more:
brainly.com/question/18310956