Here is the solution based on the given problem above.
Given: Area of the piece of paper = 84 square inches
Width = 10 1/2 or 10.5 inches long
? = length of the piece of paper
To find the area of an object, the formula would be A= L x W
Now, let's substitute the given values above
84in2 = L(10.5in)
Now, divide both sides with 10.5 and we get 8.
L = 8 inches.
Therefore, the length of the paper is 8 inches.
Hope this solution helps.
Y= -2x+9
Y= -9
Y= 4x -3
Y= 7x
For slightly greater clarity, write this expression as
sqrt(6x^8y^9) 6x^8y^9
-------------------- This is equivalent to sqrt[ -------------------- ]
sqrt(5x^2y^4) 5x^2y^4
Reduce the quantity inside the square brackets, obtaining:
6*x^6*y^5
sqrt[ ---------------- ]
5
This simplifies as follows: sqrt[ 6/5 ] * [ x^3 * y^(5/2)
which can be simplified even further if you wish.
Answer:
2)x=-2π/3
Step-by-step explanation:
The following options are missing:
<em>1)x=-4π/3
</em>
<em>2)x=-2π/3
</em>
<em>3)x=3π/4
</em>
<em>4)x=3π/2</em>
<em />
The trigonometric function tan(x) has asymptotes at x = π/2 radian and x = -π/2 radian. Therefore, tan(3/4x) would have asymptotes at:
3/4x = π/2
x = π/2*4/3
x = 2π/3
or
3/4x = -π/2
x = -π/2*4/3
x = -2π/3
1. A set is described either by listing all its elements between braces { } (the listing method), or by enclosing a rule within braces that determines the elements of the set (the rule method).
Example: So if P(x) is a statement about x, then S = { x | P ( x )} means “S is the set of all x such that P(x) is true.”
2. Types of set:
• Empty, or null, set {∅}.
• finite sets
• infinite set.
3. An infinite set: The set whose elements cannot be listed, i.e., set containing never-ending elements. Example: Set of all points in a plane.
4. The union of two given sets is the smallest set which contains all the elements of both the sets. To find the union of two given sets A and B is a set which consists of all the elements of A and all the elements of B such that no element is repeated. The symbol for denoting union of sets is ‘∪’.
The union of sets A and B, denoted by A ∪ B, is the set of elements formed by combining all the elements of A and all the elements of B into one set.