X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
Answer:
Function 1
Step-by-step explanation:
Answer:
The slope is m = 7/8 or 0.975
Step-by-step explanation:
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.
Answer:



Step-by-step explanation:
Given
<em>Decimal Grid = Hundredths</em>



To solve for each:
We have:
For Amber:


For Grace:




This means that Grace shaded 60 of the hundredth models.
Decimal shaded is:



For Marsha:




Multiply this by 100, to get the number of shaded


This means that Marsha shaded 170 of the hundredth models.
Decimal shaded is:

