The value of x is 11.
Solution:
JH is a midsegment of the triangle KLM.
LM = 22
JH = x
To find the value of x.
<u>Mid-segment theorem:</u>
<em>The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.</em>
By the mid-segment theorem,
JH = Half of LM
x = 11
The value of x is 11.
To prevent any outside forces from intervening.
Answer:
The answer to your question is 20 ft squared
Step-by-step explanation: when you hear the word "side length", it means that whatever the side length is on one side, then this means that the other side lengths are gonna be the same side length as well. For example, we already know that a square garden has a side length of 5 ft. So, since we are trying to the find the area of the square garden, you can either multiply the side length of the square garden by 4, or you can add the side length of the square garden 4 times, which will look like this:
5ft*4ft=20ft2
or 5ft+5ft+5ft+5ft= 20ft2
(g o f)(x)=g(f(x))
so
(g o f)(0)=g(f(0))
find f(0) and subsitute for x in g(x)
I'm assuming you mean f(x)=-5x+1
f(0)=-5(0)+1=1
g(f(0))=g(1)=1^3=1
(g o f)(0)=1
The equation of the quartic function is 
, whose factored form is 
.
A <em>quartic</em> function is a <em>fourth order</em> polynomial, whose form is presented below:
, 
(1)
Where:
- Independent variable.
- Dependent variable.
Given that such polynomial must be tangent to the x-axis in two place, slope must be zero and by differential calculus we have the following expression for the slope of the tangent line:
(2)
Then, we can construct the following system of linear equations:
(3)
(4)
(5)
(6)
(7)
The solution of the system is: 
.
The equation of the quartic function is , whose factored form is .
