Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of 
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given, 
and 
Now, coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the value [ 
] into the equation. So we have:
Hence, the range would be all numbers greater than or equal to 
Third answer choice is the right one.
Answer:
Length of IK is 8 feet, EK is 11 feet and BE is 25 feet.
Step-by-step explanation:
It is given that radius for circle B is 6 feet, circle K is 14 feet and circle D is 3 feet. In order to find the length, you have to either substract or add up :
IK = BK(radius of K) - BI(radius of B)
= 14 - 6
= 8 feet
EK = DK(radius of K) - DE(radius of D)
= 14 - 3
= 11 feet
BE = BK + EK(answer above)
= 14 + 11
= 25 feet
Multiplying 60 x 20 = 1,200
