Answer:
Below in bold.
Step-by-step explanation:
f(n) = |-2n| - 6
The vertical lines about the -2n mean the 'absolute value' of the expression So if -2n is negative the absolute value is positive.
n = 19 , f(n) = |-2*19| - 6 = |-38| - 6
= 38 - 6 = 32.
In the same way:
n = 20, f(n) |-40| - 6 = 40 - 6
= 34.
n = 21, f(n) = 36
n = 22, f(n) = 38.
Answer:
(6, -4)
Step-by-step explanation:
If ABCD is dilated by a factor of 2, you multiply the coordinates by 2. For the coordinate D', you would multiply 3 by 2 to get 6 and you would multiply -2 by 2 to get -4. Answer: (6, -4)
Answer: 42 students are in the musical
Answer:
Step-by-step explanation:
As we move from (0, 3) to (9, 0), we see x increasing by 9. This is the 'run.'
At the same time, we see y decreasing by 3. This is the 'rise.'
The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3
Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.
Step-by-step explanation:
here,,
a=3,b=10,C=120°
c^2=a^2+b^2-2ab cos120°
=(3)^2 +(10)^2 _2 (3)(10)(-1/2) [cos120°=-1/2]
=9+100-(-30)
=109+30
=139
c=(139 )1/2=11.79
c=12
