The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
abs(5*15+2*(-21)-4)/sqrt(5*5+2*2)
= abs(75-42-4)/sqrt(25+4)
= 29/sqrt(29)
= sqrt(29)
= 5.385165 (approximately)
Answer:
The answer to your question is 12 moles of water.
Step-by-step explanation:
Reaction
2 O₂ + CH₄ ⇒ CO₂ + 2 H₂O
If Oxygen is in excess, then the limiting reactant is methane and we calculate the moles of water produced considering the moles of methane.
1 mol of methane -------------- 2 moles of water
6 moles of methane --------- x
x = (6 x 2) / 1
x = 12 moles of water
Answer:
F = 6
Step-by-step explanation:
find the constant of variation (k) first by using this formula:
f = k/d
plug in given info to find k: 3 = k/4 so k = 12
use 12 to find F: F = 12/2
Answer:
Mean-17
Median-3
Mode-3
Range-47
Greatest Value-47
Least Value-0
Step-by-step explanation:
Mean= Add every number up then divide by how many numbers there are
Median= It has an even number in total when ordered from least to greatest. So take the two middle numbers together and divide them by 2.
Mode= The number that occurs more often
Range= The difference between the highest and the lowest number.
47-0=47
Greatest and lowest value= the highest and lowest number in a data set.
D=61d+30d=91d,
S=300+30d
S<D
300+30d<91d
300<61d
d>4.91 Since days are integers,
The skier would have to go at least 5 days to make the season pass less expensive than using the daily pass.
