Answer:
The speed and time are directly proportional in that the higher the speed the lesser the time and vice versa.
The constant is the total distance which is 180 km
Step-by-step explanation:
Step one:
given data
The distance between the two cities is 180km
1.The distance was covered by a car at the rate of 50km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/50
time= 3.6 hours
2.The distance was covered by a bus 45km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/45
time= 4 hours
3.The distance was covered by a bicycle at 25km/h
The time taken will be
velocity= distance/time
time= distance/velocity
time= 180/25
time= 7.2 hours
First, we calculate the lengths of each line using the
distance formula.
AB = (3 - -5) = 8
CA = (1 - -5) = 6
CB can be calculated using the hypotenuse equation:
CB = sqrt (AB^2 + CA^2)
CB = sqrt (8^2 + 6^2)
CB = 10
The perimeter is therefore:
perimeter = AB + CA + CB = 8 + 6 + 10
perimeter = 24 units
Abswer:
C. 24 units
131+-5 is equal to 126
To make it less confusing it’s just 131-5
Answer:
-p²q² + 9p² + 4q² + 24pq - 36
General Formulas and Concepts:
<u>Algebra I</u>
- Expanding by FOIL-ing (First Outside Inside Last)
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define expression</u>
(p² - 4)(9 - q²) + 24pq
<u>Step 2: Simplify</u>
- Expand by FOIL-ing: 9p² - p²q² - 36 + 4q² + 24pq
- Combine like terms: -p²q² + 9p² + 4q² + 24pq - 36