A(0,0) A'(2,1)
distance(AA') = √(2^2 + 1^2)
= √5
= 2.24
answer
Distance AA' = √5 or = 2.24
Answer:
S(1) = 1
S(n) = S(n-1) + n
Where S(n) is the sum from 1 till n
And,
S(n-1) is the sum from 1 till n-1
Answer:
10 motorcycles and 30 cars
Step-by-step explanation:
If there are 25 cars and a 5:2 ratio, then 25/5=5, and 5x2=10, then there will be 10 motorcycles.
5:2
Divide by 5 | Multiply by 2
If there are 12 motorcycles, then 12/2=6 and 6x5=30. The ratio is reversed because the translation required is reversed.
2:5
Divide by 2 | Multiply by 5
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.
The time, t, required to drive a fixed distance varies inversely as the speed, r. By introducing a constant of variation, k(the fixed distance), the expression becomes
t = k/r
It takes 8 hr at a speed of 15 km/h to drive a fixed distance. It means that
8 = k/15
k = 8 × 15 = 120
The equation becomes
t = 120/r
Therefore, the time it will take to drive the same distance at a speed of 29 km/h is
t = 120/29 hours
Converting to minutes, it becomes
120/29 × 60
= 248. 28 minutes
248 minutes, 28 seconds
