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Romance
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\[ A = \pi r^2 = \pi \times 5^2 = 25\pi \approx 78.5 \, \text{square cm} \]
A car travels 150 km in 2 hours and then 90 km in 1.5 hours. What is the average speed for the entire trip?
First, find the total distance:
\[ 150 + 90 = 240 \, \text{km} \]
Next, find the total time:
\[ 2 + 1.5 = 3.5 \, \text{hours} \]
Average speed is total distance divided by total time:
\[ \text{Average speed} = \frac{240}{3.5} \approx 68.57 \, \text{km/h} \]
#### 68.57
A parabola is given by the equation \( y = 2x^2 - 4x + 1 \). What is the vertex of the parabola?