Answer:
Yes, two positive real numbers will always equal a positive number. If two numbers have the same sign, whether positive or negative, the product will always be positive.
Answer:
See below.
Step-by-step explanation:
<u>Question 1</u>
a = -2 and x = -6
| a + x | / 2 - | a - x | / 2
| -2 + -6 | / 2 - | -2 + 6 | / 2
| -8 | / 2 - | 4 | / 2
8/2 - 4/2
= 4/2
= <u>2</u>
<u></u>
<u>Question 2</u>
a = -5, b = 4, c = 1, d = -3
| a - b | - | c + d |
| -5 - 4 | - | 1 - 3 |
| -9 | - | -2 |
= 9 - 2
= <u>7</u>
Answer:
B- The total area of all faces of a soild figure
Step-by-step explanation:
The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration.
For this case we have the following expression:
S.A = 2x ^ 2 + 2x *y + 2x * y
Rewriting we have:
S.A = 2x ^ 2 + 4x *y
S.A = 2 (x ^ 2 + 2x * y)
Where,
x: side length of a square base
y: height of the prism
Answer:
an expression for the total Surface Area (SA) of a rectangular prism is:
S.A = 2 (x ^ 2 + 2x * y)
