The formula of distance-time-speed
d = v × t
From the question above, we know that
⇒ The total of distance they travel is 195 miles, or it could be written as
d₁ + d₂ = 195 (equation 1)
⇒ The first person is 5 miles slower than the second person, or it could be written as
v₁ = v₂ - 5 (equation 2)
Substitute formula to equation 1
d₁ + d₂ = 195
(v₁ × t) + (v₂ × t) = 195
t(v₁ + v₂) = 195
substitute equation 2
t(v₁ + v₂) = 195
t(v₂ - 5 + v₂) = 195
t(2v₂ - 5) = 195
remember, t = 3 hours
3(2v₂ - 5) = 195
6v₂ - 15 = 195
6v₂ = 195 + 15
6v₂ = 210
v₂ = 210/6
v₂ = 35
v₁ = v₂ - 5
v₁ = 35 - 5
v₁ = 30
The rate of first person is 30 miles/hour, the rate of second person is 35 miles/hour
Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula . Remember that is the center and is the radius squared.
So, the equation of the circle must be . Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
Unforgettable and Chanaynay by wewantwraiths
Step-by-step explanation: