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2 years ago

Write the slope -intercept form of the equation of the line passing through the point (3,5) and parallel to the line y=3x+6

Mathematics

1 answer:

quester [9]2 years ago

7 0

Answer:

y = 3x - 4

Step-by-step explanation:

y - 5 = 3 (x - 3)

y -5 = 3x - 9

y = 3x - 4

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Solve for v.<br> -8v+3(v-3) = 16

puteri [66]

Hi there! :)

Answer:

$\huge\boxed{v = -5}$

-8v + 3(v - 3) = 16

Distribute the 3:

-8v + 3(v) + 3(-3) = 16

-8v + 3v - 9 = 16

Combine like terms and simplify:

-5v - 9 = 16

-5v - 9 + 9 = 16 + 9

-5v = 25

Divide both sides by -5:

-5v/(-5) = 25/(-5)

v = -5.

7 0

2 years ago

Read 2 more answers

Use the distributive property to remove the parentheses. (y-3)10

vlada-n [284]

Answer:

10y-30

Step-by-step explanation:

10*1y=10y

-3*10=-30

10y-30

3 0

2 years ago

What is the row echelon form of this matrix?

USPshnik [31]

The row echelon form of the matrix is presented as follows;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

$\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

The conditions of a matrix in the row echelon form are as follows;

There are row having nonzero entries above the zero rows.
The first nonzero entry in a nonzero row is a one.
The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

$\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$