To draw the 2 dimensional representation, we just "open" the box and flatten it. Once we have it opened, we find the area of each side and add them up for the total surface area. See the pic. Let me know if you have questions. :)

3 0

3 years ago

What is the equation of the line that passes through the point (8,-3) and has an undefined slope?

BARSIC [14]

Answer:

x = 8

Step-by-step explanation:

A line with "undefined" slope is a vertical line, whose equation is of the form ...

x = constant

In order for the line to go through a point with an x-coordinate of 8, the constant must be 8.

x = 8 . . . . . a vertical line through (8, -3)

8 0

3 years ago

What is vertex of x^2+5x-3

Art [367]

$\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}$

$\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25$

$\text{Answer: the vertex is in}\ (-2.5;\ -9.25)$

6 0

3 years ago