Answer:
n = 6
Step-by-step explanation:
9n - 6 = 5n + 18
Subtract 5n from each side
9n-5n - 6 = 5n-5n + 18
4n -6 = 18
Add 6 to each side
4n -6+6 = 18+6
4n = 24
Divide each side by 4
4n/4 = 24/4
n = 6
(1) Answer : 
Step 1: 
Step 2: 
In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides
The coefficient of x is -6.
= (-3)^2 = 9
The coefficient of y is -4.
= (-2)^2 = 4
Step : 
(2) 
To find center and radius we write the equation in the form of
using completing the square form
Where (h,k) is the center and 'r' is the radius


In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides


Here h= -3 and k=3 and
so r= 4
Center is (-3,3) and radius = 4
(c) Step 1: 
Step 2: 
Step 3: 
Step 4: 
We factor out each quadratic
(x^2 + 8x + 16) = (x+4)(x+4) = 
((y^2 - 6y + 9)) = (x-3)(x-3) = 
Step 5 :
Answer:
if a is perpendicular to b then four 90 degree angles are formed
Step-by-step explanation:
if a line is perpendicular to another that means that it forms a 90 degree angle on all of the angles
Answer:
x = 44 and y = 4
Step-by-step explanation:
Given:
x - y = 40
2x + 3y = 100
Isolate for x in the first equation:
x = 40 + y
Sub x = 40 + y into the second equation and solve for y:
2(40 + y) + 3y = 100
80 + 2y + 3y = 100
5y = 20
y = 4
Sub y = 4 into the equation for x:
x = 40 + 4
x = 44
Therefore, x = 44 and y = 4