The best estimate is:
D ) 3 meters.
You can eliminate the others as not making sense.
Answer:
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
Step-by-step explanation:
The standard form of the equation of a parabola is (y - k)² = 4p (x - h), where
- The vertex of the parabola is (h , k)
- The focus is (h + p, k)
∵ The vertex of the parabola is (3 , -2)
∴ h = 3 and k = -2
∵ The focus is (5 , -2)
∴ h + p = 5
- Substitute h by 3 to find p
∵ 3 + p = 5
- Subtract 3 from both sides
∴ p = 2
∵ The standard form of the equation of the parabola is (y - k)² = 4p (x - h)
- Substitute the values of h , k , and p in the equation
∴ (y - -2)² = 4(2) (x - 3)
∴ (y + 2)² = 8 (x - 3)
The standard form of the equation of the parabola is (y + 2)² = 8 (x - 3)
Answer:

Step-by-step explanation:
The area of the rectangle can be written as:

here, x is one side length, and h is the other side length. This area is said to be equal to 54 square meters.

The perimeter of a rectangle can be written as:

To express perimeter only in terms of x (in other words making it a function P(x)). we need to replace h. And this can be done by using the equation of area that we derived earlier.


now we can substitute this 'h' into our equation of the perimeter.


and voila! we have expressed P in terms of x only.
this can be written as P as a function of x as:

Answer:
it's going to be 5
Step-by-step explanation: