F(x) = aba
for the points (1, 2) and (2, ).

y

=

4

(

1

2

)

x

y

=

a

(

b

)

x

(

−

1

,

8

)

(

1

,

2

)

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

b

8

b

=

a

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

b

a

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4y

=

4

(

1

2

)

x

y

=

a

(

b

)

x

(

−

1

,

8

)

(

1

,

2

)

8

=

a

(

b

−

1

)

=

a

b

2

=

a

(

b

1

)

=

a

b

b

8

b

=

a

b

:

2

=

(

8

b

)

b

2

=

8

b

2

b

2

=

1

4

b

=

±

1

2

b

a

If

b

=

1

2

:

2

=

a

(

1

2

)

a

=

4

y

=

4

(

1

2

)

x

If

b

=

−

1

2

:

2

=

a

(

−

1

2

)

a

=

−

4

Step-by-step explanation:

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft