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Katena32 [7]
3 years ago
8

Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3

Mathematics
1 answer:
nlexa [21]3 years ago
3 0

Answer:

y = 1/3x + 14/3

Step-by-step explanation:

y = mx + b

we know the slope, so the equation would be --> y = 1/3x + b

Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:

y = 1/3x + b

6 = 1/3(4) + b

6 = 4/3 + b

-4/3   -4/3

----------------

14/3 = b

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If the value of third order determinant is 11. Then what is the value of the determinant formed by its cofactors.
nordsb [41]

Answer:

146.41

Step-by-step explanation:

third order determinant = determinant of 3×3 matrix A

given ∣A∣=11

det (cofactor matrix of A) =set (transpare of cofactor amtrix of A) (transpare does not change the det)

=det(adjacent of A)

{det (cofactor matrix of A)}  ^2  = {det (adjacent of A)} ^2

 

(Using for an n×n det (cofactor matrix of A)=det (A)^n−1 )

we get

det (cofactor matrix of A)^2  = {det(A)  ^3−1 }^2

 

=(11)^2×2  = 11^4

 =146.41

5 0
3 years ago
Use synthetic division find the product of ( 2x+3) and (x2-5x+6)​
alexgriva [62]

Answer:

8

x

3

+

2

x

2

−

3

x

+

18

Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18

Step-by-step explanation:

6 0
3 years ago
Simplify the algebraic expression.<br> 2v−8(3+2v)
ra1l [238]

Answer: -14v-24

Step-by-step explanation:

2v-8(3+2v)

2v-(24+16v)

2v-24-16v

-14v-24

3 0
2 years ago
Read 2 more answers
100 Points<br><br>Which angle is the angle of incident?
PilotLPTM [1.2K]

Answer:

angle c

Step-by-step explanation:

angle c is the angle of incidence.  It is the angle between the perpendicular  ( line that meets the surface at 90 degrees) and the ray that is coming in

8 0
3 years ago
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Evaluate tan 11 pi/6
Nadusha1986 [10]

Answer:

tan 11 pi dived by 6 is equal to -118.307586549

4 0
3 years ago
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