Answer:
negative
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
These are alternate interior angles. Alternate interior angles are equal when the lines are parallel
6x =2x+44
Subtract 2x from each side
6x-2x =2x+44-2x
4x =44
Divide each side by 4
4x/4 = 44/4
x = 11
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
Let be a curve of the form
. The distance with respect to origin is found by using the following Pythagorean identity:
(1)
Where
is the square distance function.
We can modify (1) as following:
![r = [27-3\cdot (y-2)^{2}]+y^{2}](https://tex.z-dn.net/?f=r%20%3D%20%5B27-3%5Ccdot%20%28y-2%29%5E%7B2%7D%5D%2By%5E%7B2%7D)


(1b)
Now we apply the First and second derivative tests to determine the minimum and maximum distances from the origin:
First derivative test


Second derivative test

The y-component represents a maximum.
Now we graph the function with the ressource of a graphing tool, we find the following points:
Farthest points:
,
.
Closest points:
.
and
are the <em>farthest</em> from the origin and
is the <em>closest</em> from the origin.
To learn more on ellipses, we kindly invite to check this verified question: brainly.com/question/19507943
Hello!
The answer is 20/60 simplest form is 1/3
To get 20/60 you must multiply the Numerator by Numerator (4*5) and Denominator by Denominator (5*12). Your answer will be 20/60.
To get 1/3 you must simplify a number that can go into 20 and 60 (which is 10). Divide 20/10 and 60/10 and get 2/6. Simplify 2/6 by 2 and get 1/3.