Answer:
a) By graphing just one interval of length 
. b) Infinite number of angles, c) Infinite times.
Step-by-step explanation:
Any function is periodical when:
, 
Where is the period of the function. The periodicity of the function allows us to limit the graphing of the function to just an interval of one period and according to the definition, you can expect same output with n different angles (infinite number of angles and same output infinite times).
To determine the length of the hypotenuse, we need a relation that would relate the other legs and the hypotenuse of the triangle. So, we would need to use the Pythagorean theorem which is an equation that relates the hypotenuse with the other legs of a right triangle. It is to be noted that this is only usable for right triangles only. It is expressed as follows:
c^2 = a^2 + b^2
where c is the hypotenuse and a, b are the other legs.
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √100
c = 10 m
Therefore, the length of the hypotenuse with the other legs having a length of 6 and 8 would be 10 m.
<span>2x-1=4(x+1)
Given.
This is the expression you were originally given.
2x-1=4x+4
Distributive Property
You distributed the 4 in the subexpression 4(x + 1) to make 4x + 4
2x=4x+5
Addition or Subtraction Property of Equality
You added 1 to both sides of the equation.
â’2x=5
Addition or Subtraction Property of Equality
You subtracted 4x from both sides of the equation.
x=-5/2
Multiplication or Division Property of Equality
You divided both sides by -2.</span>
Answer:
a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.
b. The total points scored in the game, in simplest linear expression form is: 6x - 1.
a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.
The total field goal points in the first two quarters = 2x - 6 + x + 2
Add like terms
3x - 4
b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9
Add like terms and simplify the expression
2x - 6 + x + 2 + 2x + x - 6 + 9
6x - 1
Step-by-step explanation:
There are (15 + 13) = 28 students in Ms.Peterson's class.
13 of them are boys.
The probability of drawing a boy's name is
(boys) / (total) =
<em> </em> 13 / 28 = <em> 0.4643...</em> = 46.4% . (rounded)
