Okay. Let's start with eliminating answers. Because they're colored in dots, we know that this is a line segment. That means the domain is restricted. So not D.
A, B, C, are in correct because they're just like it's anything larger -1. This is true, but because this is a segment, then we know that it ends at some point.
So it's E.
Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=
h'(t)=
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=
=-37.5+75+10
=47.5
Answer:
837.23 cm³
Step-by-step explanation:
La fórmula para el volumen de un prisma pentagonal se da como:
1/2 (5 s × a) × h
Dónde:
s = longitud lateral
a = Apotema
h = altura
De la pregunta anterior:
s = largo de lado = 6.1 cm
a = Apotema = 4.5 cm
h = Altura = 12.5 cm
Por lo tanto:
El volumen del prisma pentagonal =
1/2 (5 × 6.1 × 4.5) × 12.5
= 1/2 × 137.25 × 12.5
= 837.225 cm³
Aproximadamente = 837.23 cm³
The answer is a. (-2, 4). The horizontal line is the x-axis, and the vertical line is the y-axis, so the coordinate points would be (x, y) and (-2, 4) fit those coordinates. Hope this helps! :)
