Answer:
The distance between the two points is 
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
This assigns a name to our points:
Therefore, we can plug these into the formula and solve:
Therefore, the distance between the two points is 
.
Answer: B. 9
Step-by-step explanation:
First, find the median of the data set. This set has an even number of points, so find the average between the two middle points: 18 and 19. 18+19 = 37. 37/2 = 18.5. <em>The median is 18.5.</em>
Now, to find the lower quartile, find the median of the lower half of the data set {11, 12, 14, 15, 18}. The number in the middle is 14. <em>The lower quartile is 14.</em>
To find the upper quartile, find the median of the upper half of the data set {19, 21, 23, 25, 55}. The number in the middle is 23. <em>The upper quartile is 23.</em>
To find the interquartile range, subtract the lower quartile from the upper quartile. 23-14 = 9. <em>The interquartile range is 9.</em>
Answer:
8
Step-by-step explanation:
The intersecting chord theorem is expressed as;
7 * x = 4 * 14
7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
Hence the value of x is 8
Answer:
<u>(0, - 6)</u>
Step-by-step explanation:
<u>Midpoint Formula</u>
- M = (x₁ + x₂ / 2, y₁ + y₂ / 2)
<u>Solving</u>
- M = (-3 + 3 / 2, -7 - 5 / 2)
- M = (0, -12/2)
- M = <u>(0, - 6)</u>
