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svet-max [94.6K]
3 years ago
9

which equation is in slope intercept form and represents a line with slope 3 through the point (9,-4)?

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

y = 3x - 23

Step-by-step explanation:

y + 4 = 3(x - 9)

y + 4 = 3x - 27

y = 3x - 23

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ASAP - 15 points
Reptile [31]

Answer:

A) 2b+24x

Step-by-step explanation:

7b+3x-5b+21x

7b-5b+3x+21x

2b+3x+21x

2b+24x

8 0
3 years ago
Simplify (6^5 over 7^3)^2
love history [14]

Answer:

6^10 over 7^6.

Step-by-step explanation:

(6^5 over 7^3)^2

= 6^(5*2) / 7^(3*2)

=  6^10 over 7^6.

7 0
3 years ago
What degree of rotation is represented on this matrix
Korvikt [17]

Answer:

Option B is correct

the degree of rotation is, -90^{\circ}

Step-by-step explanation:

A rotation matrix is a matrix that is used to perform a rotation in Euclidean space.

To find the degree of rotation using a standard rotation matrix i.e,

R = \begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix}

Given the matrix: \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

Now, equate the given matrix with standard matrix we have;

\begin{bmatrix}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{bmatrix} =  \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}

On comparing we get;

\cos \theta = 0       and -\sin \theta =1  

As,we know:

  • \cos \theta = \cos(-\theta)
  • \sin(-\theta) = -\sin \theta

\cos \theta = \cos(90^{\circ}) = \cos( -90^{\circ})

we get;

\theta = -90^{\circ}

and

\sin \theta =- \sin (90^{\circ}) = \sin ( -90^{\circ})

we get;

\theta = -90^{\circ}

Therefore, the degree of rotation is, -90^{\circ}

7 0
3 years ago
Solve for x: 10x+18 = 8x+4
Kobotan [32]

Answer: x= -7

Step-by-step explanation:

subtract 8x from both sides of the equation which would leave you with 2x+18=4

then you would subtract 18 from each side of the equation leaving you with 2x= -14

the divide by 2 on both sides of the equation giving you the answer of

x= -7

7 0
3 years ago
Read 2 more answers
Find the distance travelled (in meters) in the following.<br> at speed of 14m/s for 1 hour
Charra [1.4K]

Answer:

50400m

Step-by-step explanation:

t=1hour=60×60×60=3600

d=s×t

=14×3600

=50400m

3 0
3 years ago
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