Answer: x= 20
Step-by-step explanation:
If m and n are parallel then the 3x and 2x+20 has to have the same measures which means they have to equal each other . So set them equal each other and solve for x.
2x + 20 = 3x
-2x -2x
20 = 1x
x= 20
Answer:
5x + 2y = 12
Step-by-step explanation:
Direction factor = (2, 1) - (0, 6) = (2, -5)
So, normal factor = (5, 2)
Line: 5x + 2y = k
(0, 6) -> L: 0 + 12 = 12 = k
L: 5x + 2y = 12
<span>1/r + 2/1-r = 4/r^2
1-r+2r/r(1-r)=4/r^2
(1+r)/r(1-r)=4/r^2 cancle r both side
1+r/1-r=4/r
cross multiply
r+r^2=4-4r
r^2+4r+r-4=0
r^2+5r-4=0
r^2+4r+r-4=0
solve it for r factor it...
</span>
Answer:
2.28%
Step-by-step explanation:
mean = 5 years = 60 months
standard deviation = 6 months
X = number of years the tires will last
P = probability of ...
z = z-score
6 years = 72 months
z = (# of months - mean) / standard deviation
z = (72 - 60)/6
z = 12/6
z = 2
P(X > 72) = 1 - P(X < 72)
= 1 - P(z < 2)
(using a Standard Normal Probabilities Table we can see that P(z < 2) = .9772)
So:
= 1 - .9772
= 0.0228 OR 2.28%
The rate of change is 6 secs/foot in terms of seconds per foot.