Answer:
• General equation of a line:
- m is the slope, m = 2/5
- b is y-intercept
• Therefore, equation of line is:
1. Let x = #
2. "Five less than six times a number" can be written as: 6x - 5
3. "is at least" is the same as "greater than or equal to" and can be written as: >=
4. "nine subtracted from two times that number" can be written as: 2x - 9
5. the equation is: 6x - 5 >= 2x - 9
6. solve for x by grouping the x variable terms on one side and the constants on the other side:
6x - 5 >= 2x - 9
-2x +5 -2X +5
4x >= -4
7. divide each side by 4, and you get: x = -1
Answer:
Applying the Pythagorean theorem, the diagonal is calculated by:
D = sqrt(40^2 + 9^2) = 41
Hope this helps!
:)
Answer:
The question is incomplete, the complete complete question will be:
Lucy drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 9 hours. When Lucy drove home, there was no traffic and the trip only took 4 hours. If her average rate was 40 miles per hour faster on the trip home, how far away does Lucy live from the mountains?
Lucy live at a distance of 288 miles from the mountains.
Step-by-step explanation:
DATA:
To the mts DATA:
Time = 9 hrs
Rate = r mph
Distance = 9r miles
From the mts DATA:
time = 4 hrs
rate = r+40 mph
distance = 4(r+40) miles
SOLUTION
Distance to = Distance from
9r = 4r + 160
5r = 160
r = 32 mph
RESULT:
Distance = 9r = 9*32 = 288 miles
