Answer:

Step-by-step explanation:
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side.



Rewrite as perfect squares

Take square root both sides

Adds 5 both sides

The points of the graph of function be (0,-8) , (1,-15) ,(2,-24).
Given f(x)=(-x-4)(x+2)
We have to first multiply both the expressions to get f(x)
Expression refers to combination of numbers, symbols, variables, etc. It is usually not in equal to form. It expresses the relationship between variables. To find out the graph we need to first points of function.
f(x)=
Now we have to add 2x and 4x
f(x)=
Put the value of x=0
f(0)=0-0-8
=-8
Put the value of x=1
f(1)=-1-6-8
=-15
Put the value of x=2
f(2)=-4-12-8
=-24
Now plot these points on the graph to get the graph of function f(x)=(-x-4)(x+2).
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Answer:
4π
Step-by-step explanation:
-A circle subtends a total angle of 360 ° from its center.
-The length of an arc is directly proportional to the angle it subtends from the circle's center.
#The arc's length can therefore be calculated as:

Hence, the length of the arc is 4π
Answer:
The set of coefficients asociated with the given polynomial in ascending order is
.
Step-by-step explanation:
Let
, which is a polynomic function, defined as:
(1)
Where:
- i-th Coefficient.
- i-th Power.
- Grade of the polynomial.
We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

Then, the set of coefficients asociated with the given polynomial in ascending order is:
![[C] = \{4,0,5\sqrt{3}\}](https://tex.z-dn.net/?f=%5BC%5D%20%3D%20%5C%7B4%2C0%2C5%5Csqrt%7B3%7D%5C%7D)
The domain of the square root, the 4th root, the 6th root, etc., is [0, infinity); in other words, the input to these functions cannot be negative.