Answer:
Figure C
Step-by-step explanation:
Figure A represents a ray because it has arrow only on one end.
Figure B is a line segment because it stops on both ends.
Figure C is a line because it has arrow on both ends.
Figure D is an angle, because it is 2 rays joined at a vertex.
<u>Answer:
</u>
The complete factorization of
are 4(x-3y)(x+3y)
<u>Solution:</u>
Given Data:

Take common value in all the three term.so we take 4 as common term in the above expression

Now factorize the expression 
Find the two numbers, whose product should be 9 and sum should be -6.
-3,-3 are the numbers which satisfy the above condition.
When we add -3-3=Sum is 6
Product of -3
-3= 9
-3 , -3 satisfies the condition.
So the expression will become as
= 
Take the common term
x(x-3y)+3y(x-3y)
(x-3y)(x+3y)
hence the complete factorization of
are 4(x-3y)(x+3y)
Answer:
3x^2+14x-2 if you meant f(x)=3x^2+10x and g(x)=4x-2
and I think C was meant to read 3x^2+14x-2
Please correct me if I have mistranslated. Thank you kindly.
Step-by-step explanation:
I kind of wonder if you meant f(x)=3x^2+10x and g(x)=4x-2.
(f+g)(x)=f(x)+g(x)
=(3x^2+10x)+(4x-2)
=3x^2+10x+4x-2
=3x^2+(10x+4x)-2 I paired 10x and 4x together because they are like terms
=3x^2+14x-2
Complete Question
Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 12e^x, [−6, 6] Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to three decimal places.)
Answer:
The average is

The value of x is

Step-by-step explanation:
From the question we are told that
The equation is 
The points consider is [-6 , 6]
Generally the average value of the function over the given interval is mathematically represented as





Generally when the function equal the average we have that




Answer:
(10 + 3√3) / 6.
Step-by-step explanation:
cosA = 1/secA = 1 / 2/√3 = √3 /2.
If we consider a 30-60-90 triangle if cosA = √3/2, sinA = 1/2 and
tanA = 1/√3.
So the answer is:
1/√3 / √3 /2. + 1 + 1/2 / 1/√3
= 2/3 + 1 + √3/2
= 5/3 + √3 /2
= (10 + 3√3) / 6.