Answer:
k = 3
Step-by-step explanation:
If the line passing through the points A (-1,3k) and B (k , 3) is parallel to the line whose equation is 2y+3x=9, then their slopes are equal
For coordinate AB;
slope m1 = 3 - 3k/k-(-1)
m1 = 3-3k/k+1
For the line 2y+3x = 9
2y = -3x + 9
y = -3/2 x + 9/2
Slope m2 = -3/2
Since m1 = m2
3-3k/k+1 = -3/2
Cross multiply
2(3-3k) = -3(k+1)
Expand
6 - 6k = -3k - 3
-6k+3k = -3 - 6
-3k = -9
k = -9/-3
k = 3
Hence the value of k is 3
Answer:
y-9= -4(x+1)
Step-by-step explanation:
First, you should know what the format for point slope form is. y-y1=m(x-x1). Now, fill in the points to the x1 and y1 variables. It doesn't matter what ordered pair you use. If the number you fill in is negative, for example, -1, change it to a positive 1. If you're plugging in a positive number such as 9, it becomes -9. Now, it may look like this: y-9=m(x+1). However, you still need to find slope. You can use the expression y-y1/x-x1. 9-1=8. -1-1= -2. So, your slope is 8/-2. However, you can simplify this to -4. Now, plug in -4 to your equation to have your final answer: y-9=-4(x+1).
If the outliers are not included, what is the mean of the data? 76,79,80,82,50,78,83,79,81,82.
natta225 [31]
50 is the only outlier so take 50 out of the set then add the other 9 data points and divide by 9.<span>
76 + 79 + 80 + 82 + 78 + 83 + 79 + 81 + 82 = 720 / 9 = 80</span>
Answer:
Avoid Using too many statistics
Step-by-step explanation:
when a speaker is giving a speech, the listeners prefer main points to hearing too much of statistics. Too many statistics bore the audience and sometimes divert their attentions from the crux of the speech. If statistics are to be given, they must be clearly expressed and the source should be clearly stated.
Numbers that are of large decimal points can be rounded off so as not to confuse the audience and to make them grasp the main idea.
