If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
Answer:
5n+2
Step-by-step explanation:
i hope this helps
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated
Answer:
The answer is A, (1,2).
Step-by-step explanation:
Hope this helps!
8x-4(x+1) = 0
x =1
y = 1 + 1
y = 2
(x,y) = (1,2)
2 = 1 + 1
8 x 1 - 4 x 2 = 0
Simplify
2 = 2
0 = 0
Solution = (1 , 2)
Answer:
C
Step-by-step explanation:
Try out the possibilities:
18/-2=-9
12/-2=-6
-6/3=-2
-6/-2=3
12/3=4
18/3=6
-9,-6,-2,-3,4,6
Hope this helps !