ANSWER

EXPLANATION
We use the method of completing the squares.
The equation is

We rewrite the above equation to obtain;

We divide through by 3 to obtain;

We add half the coefficient of

to both sides of the equation to get,

The right hand side is now a perfect square.

We now take square root of both sides to get;

We add -2 to both sides,

We simplify to obtain,
Y = 1 3 -x = left[y \right] = \left[ 3-x\right][y]=[3−x]
Answer:
s = 22t or
, when s is students and t is teachers.
Step-by-step explanation:
I. Given t = teacher, s = student
When 1 teacher per 22 students so...
s = 22t
If there're 10 teachers
s = 22(10)
= 220 or 
Hope that help :)
Answer:
40 ft²
Step-by-step explanation:
The shape of the outdoor carpet can be decomposed into 2 triangles and 1 rectangle
✔️Area of triangle 1:
Area = ½*bh
b = 6 - 3 = 3 ft
h = 11 - 7 = 4 ft
Area of triangle 1 = ½*3*4 = 6 ft²
✔️Area of triangle 2:
Area = ½*by
b = 2 ft
h = 3 ft
Area of triangle 2 = ½*2*3 = 3 ft
✔️Area of rectangle = L × W
L = 11 ft
W = 3 ft
Area of rectangle = 11 × 3 = 33 ft
✅area of outdoor carpet = 4 + 3 + 33 = 40 ft²
Answer:
.
Step-by-step explanation:
From the given graph it is clear that the y-intercept is 16.
The line passes through (-2,24) and (2,8). So, slope of line is
Slope intercept form of a line is
where, m is slope and b is y-intercept.
Substitute m=-4 and b=16 in the above equation.
Therefore, the required equation is
.