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:
It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck
Step-by-step explanation:
Diameter of swimming pool = 27 feet
Radius of pool r=![\frac{27}{2}=13.5 feet](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B2%7D%3D13.5%20feet)
Surrounding the pool is a deck that extends 5 feet from the edges of the pool
Outer radius R = 13.5+5=18.5
Area of deck = Outer area - Inner area
Area of deck =![\pi R^2 -\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20R%5E2%20-%5Cpi%20r%5E2)
Area of deck = ![3.14(18.5^2-13.5^2)](https://tex.z-dn.net/?f=3.14%2818.5%5E2-13.5%5E2%29)
Area of deck = ![502.4 ft^2](https://tex.z-dn.net/?f=502.4%20ft%5E2)
Cost of painting 1 sq.feet = $0.85
Cost of painting 502.4 sq.feet = ![502.4 \times 0.85=427.04](https://tex.z-dn.net/?f=502.4%20%5Ctimes%200.85%3D427.04)
Perimeter of deck = ![2 \pi R = 2 \times 3.14 \times 18.5 =116.18 feet](https://tex.z-dn.net/?f=2%20%5Cpi%20R%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%2018.5%20%3D116.18%20feet)
Cost of fencing 1 foot = $8.25
Cost of fencing 116.18 foot = ![116.18 \times 8.25=958.485](https://tex.z-dn.net/?f=116.18%20%5Ctimes%208.25%3D958.485)
Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck
37.5*0.010=.375 (or press % button on calculator)
80*.375=30
The average length of a ladybug can range from 0.08 to 0.4 inches.
So two lengths within the given span are 0.1 inch and 0.3 inches.
Answer:
i cant see it
Step-by-step explanation: