It's just wherever the function touches the x axis, so 5 and -1
From the figure, the vertices of the given triangle are
(-3,4), (1,3) and (5,5).
The given transformation is (x,y) -> (x+3, y-2).
Therefore the coordinates of the transformed triangle are
(-3+3,4-2), (1+3,3-2), (5+3,5-2) = (0,2), (4,1), (8,3)
The transformed triangle is shown in red color.
The least possible height is the height of the cylinder when the volume is 324π cubic inches. To determine that height, we use the formula for the volume of a cylinder. We do as follows:
Volume = πr^2h
324π = π(6)^2(h)
h = 9 inches
Answer:
radius ≈ 17.0 units
Step-by-step explanation:
The radius is the distance from the centre of the circle to a point on it.
Calculate the radius r using the distance formula
r = 
with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (7, 12)
r = 
= 
= 
=
≈ 17.0 ( to the nearest tenth )