HELP ASAP PLEASEEE !!!!
2 answers:
Answer:
- In this situation, (h, k) = (-2, -3)
- Radius = 8/2 = 4 units
<u>Substitute them into the circle equation: (x - h)² + (y - k)² = r²</u>
(x - (-2))² + (y - (-3))² = 4²
(x + 2)² + (y + 3)² = 4²
<u>Now expand the equation:</u>
(x + 2)² + (y + 3)² = 4²
(x + 2)(x + 2) + (y + 3)(y + 3) = 16
(x² + 2x + 2x + 4) + (y² + 3y + 3y + 9) = 16
x² + 4x + 4 + y² + 6y + 9 = 16
x² + y² + 4x + 6y + 13 - 16 = 0
x² + y² + 4x + 6y - 3 = 0
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The solution set of the given inequality has a domain of (-∞, ∞) and the vertex(h,k) = (1, -9)
<h3>What is the solution set for inequality?</h3>The solution set for inequality is the set of all solutions for which the inequality is defined. It can also be represented in an interval notation.
Given that:
- y < x² - 2x - 8
By rewriting the equation in the parabola standard form 4p(y-k) = (x - h)², we have:
Therefore, the parabola properties are:
- The solution set of the domain is (-∞, ∞)
- Vertex(h,k) = (1, -9)
- Focal length |p| = 1/4
Learn more about the solution set of inequality here:
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