1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula 
to find the distance from point 
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: 
.
Let
x-----------> first <span>odd integer
x+2--------> second consecutive odd integer
x+4-------> third consecutive odd integer
we know that
(x+4)</span>²=15+x²+(x+2)²-------> x²+8x+16=15+x²+x²+4x+4
x²+8x+16=19+2x²+4x-------> x²-4x+3
x²-4x+3=0
using a graph tool----------> to calculate the quadratic equation
see the attached figure
the solution is
x=1
x=3
the answer is
the first odd integer x is 1
the second consecutive odd integer x+2 is 3
the third consecutive odd integer x+4 is 5
<span>The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.</span>
Answer:
17% , 15% , 6% , 10% , 40% , 6%
Step-by-step explanation:
You're going to have to divide the number of people who voted for those positions by the total number of people.
Adapting = 9 / 52 = 17%
Other = 8 / 52 = 15%
Yes = 3 / 52 = 6%
No = 5 / 52 = 10%
Absolutely = 21 / 52 = 40%
Maybe = 3 / 52 = 6%
Answer:
$0.45
Step-by-step explanation:
ratio is 2:4:3
total is 9
270 ÷ 9 = 30
smoll
60 × 0.25 = $15
med
120 × 0.30 = $36
Big
91.50 - 15 - 36 = 40.5
40.5 ÷ 90 = $0.45
