Orange line
Rise : 2
Run : 3
Slope: 2/3
I think it should perpendicular because these lines are intersecting at the start point.
Answer:
76
Step-by-step explanation:
I made a chart to simplify it
1 | -8
2| -2
3| 4
4| 10
5| 16
6| 22
7| 28
8| 34
9| 40
10| 46
11| 52
12| 58
13| 64
14| 70
15| 76
Step-by-step explanation:
it is a multiple of 21.
the highest common factor of 2 numbers is the longest combination of prime factors they have in common.
the prime factors of 21 are simply
3×7
if another number A shares this as the longest combination of prime factors, that means it contains 3×7 itself in its prime factors.
and that means this number A can only be a multiple of 3×7 (= 21), as other prime factors present would be the factor of 21.
First you find the slope using y2-y1/x2-x1
which would be -6 and then to find the y-intercept plug in either (-3,-1) or (-4,-7) in x and y and plug in the slope -6
-1=-6(-3)+b
-1=18+b
-18. -18
-19=b
y=-6x -9
The formula to calculate the z-score of a certain value is:
z = (x - (mean))/(standard deviation)
In this example, the x-value is 450, the S.D. is 100, and the mean is 500.
So, substitute these values into the formula.
z = (450-(500))/100
z=-50/100
z=-0.5
Therefore, the z-score is -0.5.
