I believe that the answer is about 11 square feet because when you divide 16 by 1.5, you get 10.666666667, and most likely they won't be accepting an answer like that. So, you round to the nearest square feet and you get 11.
The standard equation is y=ax^2+bx+k and the vertex way is y=a(x-h)(x-h)+x
so the coordinate for x is -b/2a, for your problem a=-4 b=-16 so the coordinate for x is -(-16)/(2*(-4))=-2. Now you have to replace x=-2 in your equation y=-4(-2)^2-16(-2)-11= 5.
The vertex is (-2, 5)
Answer:
0.3 in²
Step-by-step explanation:
This picture is NOT to scale. That 20° Angle looks more like 70°.
Area of the circle = 81pi = 254.469
20/360 of the circle = 1/18 = 14.137
Area of triangle = 13.851
14.137-13.851= 0.3 in²
We order these data:
32 minutes------------------------3 people------------------4 walls
x--------------------------------------4 people------------------7 walls
The minutes and the people are variables inversely proportional , therefore, we multiply in parallel
32 minutes*3 people=x*4 people
The minutes and the walls are variables directly proportinal; therefore, we multiply cross.
32 minutes*7 walls=x*4 walls
Therefore:
32 minutes*3 people*7 walls=x*4 people*4 walls
x=(32 minutes*3 people*7 walls) / (4 people* 4 walls)
x=42 minutes.
Answer: the time will be 42 minutes.
