Answer:
n=6, m=6√3
Step-by-step explanation:
n = Opposite leg = sin(30°)*hypotenuse = (1/2)*12 =6
m= adjacent leg = cos(30°)*hypotenuse =((√3)/2)*12=6√3
Answer:
2/7
Step-by-step explanation:
Slope is the number in front of the x
So, this is the answers you get from plugging in x = (7 through 10)
x = 7 ... 24
x = 8 ... 36
x = 9 ... 50
x = 10 ... 66
Then you get the rate of changes...
66 - 50 = 16
50 - 36 = 14
36 - 24 = 12
So the average of 16, 14 and 12 (those values added together and then that total divided by the number of values, which is 3) is 14
The average rate of change is 14
K, so areitmetic
an=a1+d(n-1)
a1=first term
d=common differnce
we are given
a1=2 and 3/4
6th term is 3 and 7/12
so
a6=3 and 7/12=2 and 3/4+d(6-1)
3 and 7/12=2 and 3/4+d(5)
minus 2 and 3/4 both sides
10/12=5d
divide both sides by 5 or multiply both sides by 1/5
2/12=d
1/6=d

or

that is the rule
Simplify 7(x-4)-3x+2x:
4x-26=3x-2-x
Subtract x from 3x:
4x-26=2x-2
Move all terms containing x to the left:
2x-26=-2
Move all terms not containing x to the right:
2x=24
Divide by 2 and simplify:
x=12