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3 years ago

What is the slope of a line parallel to the line who se equation is 6x -3y= 63

Mathematics

1 answer:

algol133 years ago

7 0

Answer:

The slope is 2.

Step-by-step explanation:

6x - 3y = 63

-3y = -6x + 63

y = 2x -21

m = 2

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Em 2020 o Brasil tinha 47 300 000 de matriculados na educação básica ,distribuídos em cerca de 2 100 000 de turmas e 2 200 000 d

svetlana [45]

Answer: I don’t speak that language, can you translate for me

Step-by-step explanation:

5 0

3 years ago

Ou have traveled 25 miles in 2 minutes and come to a standstill. What was your initial velocity?

Illusion [34]

If you traveled 25 miles in 2 minutes, your average speed was 25 miles per 2 minutes or 750 miles per hour. If your rate of deceleration was constant, your initial speed was two times 750 miles per hour or 1500 mph.

<span>I do not have enough information to determine your initial velocity because I don't know what direction you were going, and velocity is speed with direction.</span>

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3 years ago

Solve the system of equations:x + 3y - z = -4 2x - y + 2z = 13 3x - 2y - z = -9

tatiyna

Answer:

The solution to the system of equations is

$\begin{gathered} x=\frac{179}{13} \\ \\ y=-\frac{279}{39} \\ \\ z=-\frac{48}{13} \end{gathered}$

Explanation:

Giving the system of equations:

$\begin{gathered} x+3y-z=-4\ldots\ldots\ldots\ldots\ldots\ldots..........\ldots\ldots\ldots\ldots.\ldots\text{.}\mathrm{}(1) \\ 2x-y+2z=13\ldots\ldots...\ldots\ldots\ldots\ldots..\ldots..\ldots\ldots\ldots\ldots\ldots.(2) \\ 3x-2y-z=-9\ldots\ldots\ldots.\ldots\ldots\ldots\ldots....\ldots\ldots.\ldots\ldots\ldots\text{.}\mathrm{}(3) \end{gathered}$

To solve this, we need to first of all eliminate one variable from any two of the equations.

Subtracting (2) from twice of (1), we have:

$5y-4z=-21\ldots\ldots\ldots\ldots\ldots.\ldots.\ldots..\ldots..\ldots\ldots.\ldots..\ldots\text{...}\mathrm{}(4)$

Subtracting (3) from 3 times (1), we have

$3y-5z=-3\ldots\ldots...\ldots\ldots..\ldots\ldots\ldots\ldots\ldots.\ldots\ldots\ldots\ldots\ldots..\ldots\ldots(5)$

From (4) and (5), we can solve for y and z.

Subtract 5 times (5) from 3 times (4)

$\begin{gathered} 13z=-48 \\ \\ z=-\frac{48}{13} \end{gathered}$

Using the value of z obtained in (5), we have

$\begin{gathered} 3y-5(-\frac{48}{13})=-3 \\ \\ 3y+\frac{240}{13}=-3 \\ \\ 3y=-3-\frac{240}{13} \\ \\ 3y=-\frac{279}{13} \\ \\ y=-\frac{279}{39} \end{gathered}$

Using the values obtained for y and z in (1), we have

$\begin{gathered} x+3(-\frac{279}{39})-(-\frac{48}{13})=-4 \\ \\ x-\frac{279}{13}+\frac{48}{13}=-4 \\ \\ x-\frac{231}{13}=-4 \\ \\ x=-4+\frac{231}{13} \\ \\ x=\frac{179}{13} \end{gathered}$

8 0

1 year ago

What is the rate of change for the following? (4,5) (2, 15)

Evgen [1.6K]

Answer:

-5

Step-by-step explanation:

Rate of Change also slope

Slope = y-y1/x-x1 = tanα = y/x

15-5/2-4 = 10/-2 =-5

3 0

3 years ago

Read 2 more answers

Sam is opening a saving account with $1,500 she got for her birthday. It

Artist 52 [7]

Answer:

9 years

Step-by-step explanation:

Simple interest for any amount p is given by

SI = P*R*T/100

where R is the rate of interest

T is the time period in years

given

P =$1500

R = 4%

T we have to find

SI = $540

Thus, putting the given value in SI = P*R*T/100

540 = 1500*4*T/100

T = 540*100/1500*4 = 9 years

Thus, It will take 9 years for Sam to earn $540

4 0

3 years ago