Answer:o
Step-by-step explanation:
Answer:
min = -9
max =3
Step-by-step explanation:
C = x-3y
x ≥0
x≤3
y≥0
y≤3
The minimum will be be when x is smallest and y is at its max
x =0 and y = 3
C = 0 - 3(3)
C = 0-9 = -9
The minimum is -9
The maximum occurs when x is largest and y is smallest
x =3 and y = 0
C = 3 - 3(0)
C = 3-0 = 3
The max is 3
The reflection is happening over the x axis (horizontal axis)
Any y coordinate that is positive turns negative, and vice versa
For example: (1,2) ---> (1,-2)
In general, the rule is (x,y) ---> (x,-y)
So the answer is choice C
find the volume of the cone:
1/3 pi r squared × h
1/3 pi (1) squared × 2
= 2/3 Pi (feet cubed)
find the volume of the cylinder:
pi r squared × h
(the radius is 1 foot because its half the diameter which is 2 feet)
pi (1) squared × 2
= 2 Pi (feet cubed)
2 Pi is÷ 2/3 Pi
= 3
therefore it will take 3 cones of liquid to fill a cylinder with a diameter of 2 and height of 2
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
