Answer:
I figured all these out by graphing the function. See the attachment for a picture.
h(x) = (x-1)^2
It's <u>increasing over (1, ∞)</u> because the values are going up in that span.
It's <u>decreasing over (-∞, 1)</u> because the values are going down in that span.
Its range is all values of <u>y </u>
<u> 0</u> (we can see that only y-values above 0 are in the function).
g(x) = -(x+1)(x-1)
It's <u>increasing over (-∞, 0)</u> because the values are going up in that span.
It's <u>decreasing over (0, ∞)</u> because the values are going down in that span.
Its range is all values of <u>y </u>
<u> -1</u> (we can see that only y-values below 1 are in the function).
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
Step-by-step explanation:
Answer:
Answer:
1
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.
I hope the graph helps.
