Answer:
Port eagle has the higher median
Step-by-step explanation:
That's all I will give you.
Why?
Because the median is the average which would be the middle range between two points.
For this question, you would have to use the midpoint formula.
(X1 +X2 / 2 , Y1 + Y2 / 2)
In other words,
(9 + -3 / 2 , -7 +5 / 2)
(6 / 2 , -2 / 2)
(3 , -1)
Your midpoint is (3, -1)
<h3>Answer:</h3>
2.25
<h3>Explanation:</h3>
Consider the square ...
... (x+a)² = x² +2ax +a²
The constant term (a²) is the square of half the x-coefficient: a² = (2a/2)².
The x-coefficient in your expression is 3. The square of half that is ...
... (3/2)² = 9/4 = 2.25
Adding 2.25 to both sides gives ...
... x² +3x + 2.25 = 6 + 2.25
... (x +1.5)² = 8.25 . . . . completed square
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth,
= d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface =
= -6.25 ft = 6.25 ft. below the surface of the water.
In Cartesian coordinates, the region (call it
) is the set

In the plane
, we have

which is a circle with radius
. Then we can better describe the solid by

so that the volume is

While doable, it's easier to compute the volume in cylindrical coordinates.

Then we can describe
in cylindrical coordinates by

so that the volume is
