Solve 6x^2+x-12

im bore

For a polynomial of the form

a

x

2

+

b

x

+

c

, rewrite the middle term as a sum of two terms whose product is

a

⋅

c

=

6

⋅

−

12

=

−

72

and whose sum is

b

=

−

1

.

6

x

2

+

8

x

−

9

x

−

12

Factor out the greatest common factor from each group.

2

x

(

3

x

+

4

)

−

3

(

3

x

+

4

)

Factor the polynomial by factoring out the greatest common factor,

3

x

+

4

.

(

3

x

+

4

)

(

2

x

−

3

)

Step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches