3 out of 7 so 2 in a row will be 4 out of 7 chance I think
Answer:
23
y = ----- (x + 1)^2 - 3
9
Explanation:
Use the general vertex form equation of the parabola to find the function.
1) Vertex form equation: y = A (x - h)^2 + k
Where h and k are the vertex - coordinates, i.e. vertex = (h,k)
2) The vertex is the minimum (or maximum) of the parabola. In this case it is (-1,-3)
=> h = -1, k = -3.
3) Replace the vertex-coordinates in the vertex form equation of the parabola:
y = A(x + 1)^2 - 3
4) To find A replace the coordinates of the other point given: (2,20)
=> 20 = A(2 + 1)^2 - 3
=> A(3^2) = 20 + 3
=> A(9) = 23
=> A = 23/9
5) Replace h, k and A in the vertex form of the parabola:
y = (23/9) (x + 1)^2 - 3
The possible outcomes if they both happen at the same time?
Answer:
228
Step-by-step explanation:
[Formulas Below]
Surface area means the sum of all the shapes on the figure, which means we have to calculate each area of the shapes on the triangular right prism and add them up. To calculate the triangles, we plug in 6 and 5 and get 15. Since there are 2 triangles, we multiply it by 2. Next, we have to find the areas of the rectangles. 11 * 6.5 = 71.5 (There are two of them so you multiply by 2), and 11 * 5 = 55. Finally, we add all of these up. 15 * 2 + 71.5 * 2 + 55 = 30 + 55 + 143 = 228. The surface area is <u><em>228</em></u>.
<u><em>Area of Triangle = (Length * Height)/2</em></u>
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<u><em>Area of Rectangle = Length * Width</em></u>