Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
A) Garage A = 3x
Garage B = 2x + 2
b) 2x + 2 = 3x
x = 2
c) the solution, 2, means the number of hour which both garages would have the equal amount of cost. In this case, in 2 hours, they would be equal in cost.
Answer:
Step-by-step explanation:
width of a rectangle=11 cm=11*5=55 ft
length of rectangle =8 cm= 8*5=40
Area=55*40=2220 ft²
height=3 cm=3*5=15
base=11 cm=11*5=55
Area of a triangle=base*height/2=15*55/2= ft^2
2220+412.5=2632.5 ft^2
this number is close to 2615 if the square unit on the grid =1 cm
ANSWER
EXPLANATION
The given line passes through (1,4) and (3,-4).
The slope of this line is calculated using the formula:
We substitute the points into the slope formula to get:
We substitute the first point and slope into the point-slope formula
This implies that
We expand to get
