Write (25x^2 + 30x + 12) in the form (ax + b)^2 + c.

25 x^2 + 30 x + 12

Parcelas

Plots

Parcelas

Figura geométrica

parabola

Formas alternativas

x (25 x + 30) + 12

(5 x + 3)^2 + 3

5 x (5 x + 6) + 12

Raíces complejas

x = -1/5 i (sqrt(3) + -3 i)

x = 1/5 i (sqrt(3) + 3 i)

Step-by-step explanation:

answer: the dogs need to shift their focus to human scent.

its because the dogs being trained are for search and rescue thus they need to be able to track humans and their specific scent

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!