Answer:
Converting the equation
into completing the square method we get: 
Step-by-step explanation:
we are given quadratic equation: 
And we need to convert it into completing the square method.
Completing the square method is of form: 
Looking at the given equation 
We have a = x
then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20
So, 20x in form of 2ab can be written as: 2(x)(10)
So, we need to add and subtract (10)^2 on both sides

So, converting the equation
into completing the square method we get: 
Answer:
5x maybe dont take my word
Answer:
A. Point C divides segment AB so that AC:CB is 1:3
or either c
Answer:
SAS theorem
Step-by-step explanation:
Given



Required
Which theorem shows △ABE ≅ △CDE.
From the question, we understand that:
AC and BD intersects at E.
This implies that:

and

So, the congruent sides and angles of △ABE and △CDE are:
---- S
---- A
or
--- S
<em>Hence, the theorem that compares both triangles is the SAS theorem</em>
Explanation
Problem #2
We must find the solution to the following system of inequalities:

(1) We solve for y the first inequality:

Now, we multiply both sides of the inequality by (-1), this changes the signs on both sides and inverts the inequality symbol:

The solution to this inequality is the set of all the points (x, y) over the line:

This line has:
• slope m = 3/2,
,
• y-intercept b = -2.
(2) We solve for y the second inequality:

The solution to this inequality is the set of all the points (x, y) below the line:

This line has:
• slope m = -1/3,
,
• y-intercept b = 2.
(3) Plotting the lines of points (1) and (2), and painting the region:
• over the line from point (1),
,
• and below the line from point (2),
we get the following graph:
Answer
The points that satisfy both inequalities are given by the intersection of the blue and red regions: