Answer:
(x + 4)² + (y + 5)² = 73
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
here (h, k) = (- 4, - 5), thus
(x - (- 4))² + (y - (- 5))² = r², that is
(x + 4)² + (y + 5)² = r²
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 4, - 5) and (x₂, y₂ ) = (4, - 2)
r =
= 
=
=
⇒ r² = 73, thus
(x + 4)² + (y + 5)² = 73 ← equation of circle
Answer:
See below
Step-by-step explanation:
This is a piece-wise function.
4, -4≤ x ≤ -2
f(x) = 2, -2 ≤ x < 2
-3, 2 ≤ x ≤ 4
Answer:
The change in the total cost for each book printed is $10
The cost to get started is $1250
Step-by-step explanation:
In the linear equation y = m x + b, where
- m is the rate of change per unit
- b is the initial amount (value y at x = 0)
∵ y represents the total cost of publishing a book in dollars
∵ x represents the number of copies of the book printed
∵ y = 1250 + 10 x
- Compare it with the linear equation y = m x + b
∴ m = 10
∴ b = 1250
∵ m = Δy/Δx
- That means m is the change in the total cost per book
∴ The change in the total cost for each book printed is $10
∵ b is value y at x = 0
- That means b is the cost to get started before print any book)
∴ The cost to get started is $1250
Answer:
x=0,3
Step-by-step explanation: