Answer:
(-5, 2)
Step-by-step explanation:
Three corners of a rectangular city block are located at (2,2), (2,-4) and (-5,-4) on a coordinate plane. What are the coordinates of the fourth Coordinate?
Solution:
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. Also, all the angles are at 90 degrees.
Since the city block is rectangular in shape, therefore the fourth coordinate would have the same y coordinate as the point (2, 2) and it would also have the same x coordinate as (-5, -4).
Hence the fourth coordinate is (-5, 2)
Answer:
11. always
12. always
13. always
14. never
15. never
16. always
17. always
18. sometimes
19. sometimes
20. never
Step-by-step explanation:
11. A line can be defined by at least two points
12. A plane can be defined by at least three points
13. If two planes intersect, then they form a line at the intersection.
14. If two lines intersect, then they form a point at the intersection (not a segment).
15. A line does not have any endpoints (infinite in both ways).
16. If two planes are not parallel they will always intersect.
17. If two lines are not parallel they will always intersect.
18. Two points are sometimes collinear. It depends on where they are.
19. Two points are sometimes coplanar. It depends on where they are.
20. Ray MN and NM are not the same ray because the end points are different.
Answer:
3.14 thousand dollars
Step-by-step explanation:
Standard deviation is the average distance of your data values from the mean (basically, how far off you were from the center). We calculate standard deviation or σ by taking each value, subtracting it from the mean, squaring it, then dividing by the mean.
First, we need to find the mean, which is the sum of all values / number of values.
5 + 6 + 5 + 10 + 9 = 35 / 5 = 7
Take the absolute value of the difference of each value from 7:
5 - 7 = 2
6 - 7 = 1
5 - 7 = 2
10 - 7 = 3
9 - 7 = 2
Square each of these values and add them together:
2^2 + 1^2 + 2^2 + 3^2 + 2^2 = 22
Divide the sum by the mean:
22 / 7 = 3.14
<u>The standard deviation is 3.14 thousand dollars.</u>
