Answer:

Step-by-step explanation:
The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .
Recall the distance formula;
We use the distance formula to determine the length of the diagonals.
For diagonal R(1,-1) and T(8,5), We have;




For the diagonal S(6,1) U(3,3)




Therefore the shorter diagonal is:

First lets get 3% into decimal form.
3% is 3/100 = 0.03
Now multiply 0.03 by 47000 to get how much extra money she was going to get.
47000 * 0.03 = 1410
Now we just add
47000 + 1410 = 48410 is what she was going to make in 2012
Another way to do this is
(47000)(1+0.03) = 48410
you would use (1+0.03) which tells you she increased in pay.
Okay, so the lines are the same, so the answer would be the last question.
m is another word for slope, and the slopes are both -1.
the y-intercepts are also both 5.
I can't see whatever graph is on the problem, but I am pretty sure this would be the answer.
I hope this helps.
Answer:
4√13
Step-by-step explanation:
1. Calculate the length of SN
Your triangle (below) is a relatively tall isosceles triangle.
∆STN is a right triangle, so we can use Pythagoras theorem to calculate the length of SN.
SN² + NT² = ST²
SN² + 4² =22²
SN² + 16 = 484
SN² = 468
SN = √468 = 6√13
2. Calculate the length of SX
UM and SN are lines from an angle to the centre of the opposite side, so they are medians.
The medians of a triangle meet at a single point, X — the centroid.
Another characteristic is that the centroid divides each median into segments in a 2:1 ratio.
Thus,
SX = ⅔SN = ⅔ × 6√13 = 4√13
Answer:
We choose C
The spread from the lower quartile to the median is greater than the spread from the median to the upper quartile.
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one.
Please have a look at the attached photo
My answer:
Given the information in the photo, we can know that:
Median: 7
- Upper quartile: 9
- Lower quartile: 4
- Interquartile range: 9 - 4 = 5
- Lower quartile to median: 7 - 4 = 3
- Upper quartile to median: 9 - 7 = 2
Let analyse 4 answers:
A. Wrong, Lower quartile to median is more than Uper quartile to median
B. Wrong
C. True
D. Wrong