Answer:
0.185
Step-by-step explanation:
Answer:
The slope is one.
Step-by-step explanation:
You can use the formula (y1-y2)/(x1-x2). Plugging in the points, it would be
(-1-1)/(-2-0) which simplifies to -2/-2, then just 1. You can also make a graph if you really aren't sure whether you did the problem right or make the full equation and plug the points in to make sure it checks out. :) Hope that helps?
55. the central angels are the same, so the arc measure is the same
Answer:
Explanation:
<u>1. Data:</u>
i) Distance traveled by the cars:
ii) Speed of the cars:
iii) Time to arrive at the suburb:
- t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2
<u>2. Equations:</u>
time = distance / speed
- t₂ = 480 / v₂
- t₁ = 480 / v₁ = 480 / (v₂ + 20)
t₂ - t₁ = 2 hour
↓ ↓ ↓
480/v₂ - 480/ (v₂ + 20) = 2
<u>3. Solve the equation</u>
480(v₂ + 20) - 480(v₂) = 2 × (v₂ + 20) (v₂)
240(v₂ + 20) - 240(v₂) = (v₂ + 20) (v₂)
240v₂ + 4800 - 240v₂ = (v₂)² + 20v₂
(v₂)² + 20v₂ - 4800 = 0
(v₂ + 80) (v₂ - 60) = 0
v₂ = - 80
v₂ = 60
Only the positive solution has physical meaning:
- v₁ = 60km/h + 20km/h = 80km/h ← answer
Answer:
21.62
Step-by-step explanation:
add them together
