Answer:
Vertex is (-a, -6), where a ≠ 0.
General Formulas and Concepts:
<u>Algebra I</u>
- Coordinates (x, y)
- Quadratics
<u>Algebra II</u>
Vertex Form: y = a(bx - h)² + k
- <em>a</em> is the vertical scale factor
- <em>b</em> is the horizontal scale factor
- (h, k) is the vertex
Step-by-step explanation:
<u>Step 1: Define</u>
y = -3(x + a)² - 6
↓ <em>Identify variables</em>
<em>a</em> = -3
<em>b</em> = 1
(h, k) = (-a, -6)
Answer:
D. 2 1/4
Step-by-step explanation:
8 7/4 - 7
9 3/4 - 7
2 1/4
Answer:
D
Step-by-step explanation:
Given
C = 2πr ( isolate r by dividing both sides by 2π )
= r → D
Answer:
Arc length of arc BC is 6.98 units or roughly 7 units.
Step-by-step explanation:
First recall that the formula for the circumference of a circle is C = 2πr, where r is the radius. Here the radius is 4 units. so the circumference of the (entire) circle is C = 2π(4 units) = 8π units.
The central angle for the arc shown in yellow is 100 degrees. The length of this arc is a fraction of C as found earlier:
100
------- * 8π units = 800π/360 units, or 6.98 units (about 7 units).
360
Arc length of arc BC is 6.98 units or roughly 7 units.