What formula do you use to find the area of a rectangle?!
1 answer:
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Answer:
(x + 5)² + (y + 8)² = 49
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) = (- 5, - 8), so
(x - (-5))² + (y - (- 8))² = r², that is
(x + 5)² + (y + 8)² = r²
The radius is the distance from the centre to a point on the circle
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 8) and (x₂, y₂ ) = (2, - 8)
r = =
=
= 7
r = 7 ⇒ r² = 7² = 49
Hence
(x +5)² + (y + 8)² = 49 ← equation of circle
Answer:
The domain is all real values greater than or equal to 0 seconds and less than or equal to 40 seconds
The range is all real values greater than or equal to 0 feet and less than or equal to 2,000 feet
Step-by-step explanation:
Let
t ----> is the amount of time since the descent began
f(t) ---> is the height of a hot-air balloon descends
we know that
The linear equation in slope intercept form is equal to
where
m is the unit rate or slope of the linear equation
b is the y-intercept or initial value
In this problem we have that
The slope or unit rate is equal to
---> is negative because is a decreasing function
The y-intercept or initial value is equal to
substitute
The domain is the interval -----> [0,40]
All real values greater than or equal to 0 seconds and less than or equal to 40 seconds
The range is the interval ----> [0,2,000]
All real values greater than or equal to 0 feet and less than or equal to 2,000 feet