Answer:
Angle k is 34.5 degrees
Step-by-step explanation:
a circle makes 360 degrees total. okay so u have to consider the angles given. m arc go= 127
m<0 = 54.5
54.5 times 2 = 109
109 is arc gk
109 + 127+ 55= 291
360-291=69= arc OU
69 divided by 2 is 34.5
Angle k is 34.5 degrees
Answer:
<em>LCM</em> = 
Step-by-step explanation:
Making factors of 
Taking
common:

Using <em>factorization</em> method:

Now, Making factors of 
Taking
common:

Using <em>factorization</em> method:

The underlined parts show the Highest Common Factor(HCF).
i.e. <em>HCF</em> is
.
We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

Using equations <em>(1)</em> and <em>(2)</em>:

Hence, <em>LCM</em> = 
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Answer:
The equation of the parabola is
, whose real vertex is
, not
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
,
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is:
,
,
. Hence, the equation of the parabola is
. Lastly, we must check if
belongs to the function. If we know that
, then the value of
is:


does not belong to the function, the real point is
.
Answer:
1014cm^2
Step-by-step explanation:
find the area of one side and times it by 6 (bc a cube has 6 sides)
13×13=169
169×6=1014