Direction: Opens UpVertex: <span><span>(<span><span>−4</span>,<span>−6</span></span>)</span><span><span>-4</span>,<span>-6</span></span></span>Focus: <span><span>(<span><span>−4</span>,<span>−<span>478</span></span></span>)</span><span><span>-4</span>,<span>-<span>478</span></span></span></span>Axis of Symmetry: <span><span>x=<span>−4</span></span><span>x=<span>-4</span></span></span>Directrix: <span>y=<span>−<span><span>498</span></span></span></span>
3rd answer always solve parenthesis first use PEMDAS
Answer:
p = 3, q = 2.5
Step-by-step explanation:
Given that x = - 4 is a root of the equation, then
(- 4)² - 4p - 4 = 0, that is
16 - 4p - 4 = 0
12 - 4p = 0 ( subtract 12 from both sides )
- 4p = - 12 ( divide both sides by - 4 )
p = 3
Also given that the equation x² + px + q = 0 has equal roots
Thus the value of the discriminant b² - 4ac = 0
Here a = 1, b = p and c = q, thus
p² - 4q = 0 ← substitute p = 3 from above into the equation
9 - 4q = 0 ( subtract 9 from both sides )
- 4q = - 9 ( divide both sides by - 4 )
q = 2.5
Calculate the area of each side and find the sum of the areas of all sides to find the surface area of a star.