Answer:
The perimeter of the rectangle is 18 units.
Step-by-step explanation:
The image included below presents the location of the points on the Cartesian plane. From Geometry we get that the perimeter (
), dimensionless, of the rectangle is the sum of its four sides. That is to say:
(1)
Where 
, 
, 
and 
are the sides of the rectangle, dimensionless.
Each side value is found by means of the Pythagorean Theorem:
![AB = \sqrt{[2-(-1)]^{2}+(1-1)^{2}}](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%5B2-%28-1%29%5D%5E%7B2%7D%2B%281-1%29%5E%7B2%7D%7D)
![BC = \sqrt{(2-2)^{2}+[(-5)-1]^{2}}](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%282-2%29%5E%7B2%7D%2B%5B%28-5%29-1%5D%5E%7B2%7D%7D)
![DA = \sqrt{(-1-1)^{2}+[1-(-5)]^{2}}](https://tex.z-dn.net/?f=DA%20%3D%20%5Csqrt%7B%28-1-1%29%5E%7B2%7D%2B%5B1-%28-5%29%5D%5E%7B2%7D%7D)
And the perimeter of the rectangle is:
The perimeter of the rectangle is 18 units.
Answer:
Step-by-step explanation:
given that a certain test preparation course is designed to help students improve their scores on the LSAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 6 students' scores on the exam after completing the course:
We find
Mean 13.66666667 = 13.7
Standard Error 1.801234145
Margin of error for 90% = 1.645*std error = 2.963
Confidence interval = Mean ±Margin of error
=(10.704, 16.630)
Sample mean = 13.7
(q+8)(2n^2-1)
I think this is the correct form.
