True. Translation can be written in ordered pair notation.
65 mph ⇒ 1 hour = 65 miles
1 hour = 65 miles
2.5 hours = 65 x 2.5 = 162.5 miles
Answer: 162.5 miles
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:
no real solutions
complex solutions: x = 0.5±i√10.75, y = -2.5±i·3√10.75
Step-by-step explanation:
The graph shows the line and parabola do not intersect, so there are no real solutions to this system of equations.
__
However, the complex x-solutions can be determined from the graph to be ...
x = 0.5 ±i√10.75
The corresponding y-values can be found from the equation
y = 3x -4 = 3(0.5 ±i√10.75) -4
y = -2.5 ± i·3√10.75
