Answer:
Step-by-step explanation:
Supplementary angles are angles equal to 180°.
Therefore:
Now that we have our equation, let's distribute the 
and the 
into the parentheses they are next to:
Combine like terms:
Subtract 
from both sides of the equation:
Divide by the coefficient of 
, which is 
:
~
Check your work by substituting 
into one of the equations above:
It's correct!
Answer:
5
Step-by-step explanation:
180-108=72 interior + exterior angle add to 180
360/72=5
Answer:
Answer:
Exact form: 7√2
Decimal form: 9.89949493
Step-by-step explanation:
Also i'm going to assume you meant (-3, 4) instead of
"( -3 4 )."
The following are the answers to
the questions presented:
Part 1:
Vertex: <span>(<span><span>−3</span>/ 2</span>,<span> 11/2</span>)</span>
Axis of
symmetry = x = -3/2
Domain = all
real numbers
Range = <span>y </span><span>≤ </span>11/2
Part 2:
A quadratic equation is symmetrical around its vertex. The
equation for the axis of symmetry is x = -3/2 since the equation is in terms of
x. Since no value of x is undefined, then the domain of the equation is clearly
all real numbers. Since the value of “a” is negative, then that means the y
coordinate of the vertex is the maximum value so the range will never get above
11/2. I am hoping that these answers have satisfied your queries and it
will be able to help you in your endeavors, and if you would like, feel free to
ask another question.
Answer: D.) 3
Step-by-step explanation:
Given: Mean diameter: 
Standard deviation: 
The required number of standard deviations is given by :-
Hence, a beach ball with a diameter of 31.9 cm is 3 standard deviations differ from the mean.
