To solve the quadratic by complete square method we proceed as follows:
x²-6x+7=0
this can be written as:
x²-6x=-7
but
c=(-b/2a)^2
c=(-(-6)/2)^2=9
next we add 9 on both sides of our expression to get:
x²-6x+9=-7+9
x²-6x+9=2
factoring out the LHS we get:
(x-3)(x-3)=2
(x-3)²=2
getting the square root of both sides we obtain:
x-3=+/-√2
hence:
x=3+/-√2
that is true if that's 1/3n=7/12
if it's 1/3n-7/12 then the first step is to equal it to zero
Answer:
5 is between 3 and 7
Step-by-step explanation
3, 4, <u><em>5</em></u>, 6, 7
Answer:
41 degrees to the nearest degree.
Step-by-step explanation:
A line drawn from the vertex and bisecting the base forms 2 right triangles.
The base of one right triangle = 1/2 * 12 = 6 m.
So cos A = adjacent side /hypotenuse where A is the angle of inclination.
cos A= 6 / 8 = 0.75
m < A = 41.41 degrees.
Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:
Where 
is the lenght and 
is the width.
You have that the lenght and the width in feet are:
3. Let's call 
the width of the roped-off area. Then, the combined area is:
Where
4. Substitute values and simplify. Then:
