Answer:
Factoring.
General Formulas and Concepts:
<u>Algebra I</u>
- Factoring
- Finding roots of quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
y = 2x² - 6x - 8
0 = 2x² - 6x - 8
<u>Step 2: Find roots</u>
- Factor 2: 0 = 2(x² - 3x - 4)
- Factor: 0 = 2(x - 4)(x + 1)
- Find roots: x = -1, 4
And we have our final answer!
Area of a circle is PI x r^2:
Area of circle = 3.14 x 13^2 = 530.66 square meters.
To find the area of the sector multiply the area of the circle by the fraction of the sector
Area of sector = 530.66 x 150/360 = 221.108 square meters ( Round the answer as needed).
Area = (1/2) * 4 * 5 = 10 cm²