Answer:
The system has one solution.
Both lines have the same y-intercept.
The solution is the intersection of the 2 lines.
Step-by-step explanation:
Lines are
slope = 0.5
y intercept(put x =0) =5
slope = 1
y intercept(put x =0 ) =5
Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.
If you solve these linear equation coordinate of point of intersection of line on graph will come.
Answer:
- A) A = 27.3°, B = 56.1°, C = 96.6°
Step-by-step explanation:
<u>Use the Law of Cosines:</u>
- A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
- B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
- C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°
Correct choice is A.
Answer:
y = 11
Step-by-step explanation:
8 × 2 + 5²- y = 2(y + 1) + 6
8 × 2 + 5²- y = 2y + 2 + 6
8 × 2 + 25 - y = 2y + 2 + 6
16 + 25 - y = 2y + 2 + 6
41 - y = 2y + 8
41 (- y + y) = (2y + y) + 8
41 = 3y + 8
41 - 8 = 3y (+ 8 - 8)
33 = 3y
33/3 = 3y/3
y = 11
The tank is leaking at the rate of 6 gallons per hour.
If you do nothing but sit there and watch it all afternoon,
here's what you'll see:
First hour . . . . 6 gallons leaks out
Second hour . another 6 gallons leaks out
Third hour . . . another 6 gallons leaks out
Total gone after 3 hours: (6 + 6 + 6) = 18 gallons .