Answer:
The function is decreasing.
Step-by-step explanation:
f(x) = x is the parent function, when you make x negative it decreases rather than increasing. the use of the slope (1/2) doesn't change whether it it increasing or decreasing. as long as the negative sign is in front, it will decrease.
Answer:
length is 14.4ft and the width is 12.4ft
Step-by-step explanation:
Volume of the aquarium = length * width * height
Given
Volume = 300ft^3
Height = 3feet
l = w+4
Substitute
300 = 3w(w+4)
100 = w(w+4)
100 = w^2+4w
w^2+4w-100 = 0
w = 4±√16+400/2
w =4±√416/2
w = 4±20.4/2
w = 24.4/2
w = 12.2feet
Since l = w+4
l = 12.2+4
l = 16.4ft
hence the length is 14.4ft and the width is 12.4ft
Answer:
Use the slope formula.
Step-by-step explanation:
Input your x and y values to this:
(x - x1)/(y-y1) = m
Well,
A cylinder is actually a special type of prism. A prism is a 3-D figure made by taking a simple closed plane curve and translating it across space in a certain direction and for a given distance and then connecting the preimage and the image. A cylinder is just a prism made with a circle.
We know from translations that the image is congruent to the preimage. Thus, the bases of a (circular) cylinder are two congruent circles.