Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = 
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = 
= 
= 
= 
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = (
)² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
7 2/5 is a mixed number for 37/5.
Answer:
75 seconds for one sheet of drywall
75 minutes to install 60 sheets
Step-by-step explanation:
10 minutes / 8 sheets = 1.25 minutes per sheet (minutes/sheet) = 75 seconds
60 sheets * 1.25 minutes per sheet = 75 minutes
<span>The expression 2x + 50 represents the elevation above sea level of the climber. It can be written as a function as follows:
f(x) = 2x + 50 where f(x) is the height and x is time.
We can obtain the initial height when we set time 0 in which the climber has not started climbing yet. Therefore, the initial height of the climber would be 50 meters above sea level.</span>