All categories

3 years ago

Convert y − 3 = 1/3(x − 6) to standard form.

Mathematics

1 answer:

qaws [65]3 years ago

7 0

The equation of a straight line in "standard form" resembles Ax + By + C = 0.

Starting with y − 3 = 1/3(x − 6) (which is the equation of a line in point-slope form), remove the fractional coefficient 1/3 by multiplying both sides of this equation by 3:

3y - 9 = x - 6.

We want all terms except for 0 to appear on one side of this equation. Subtract 3y from both sides, obtaining:

-9 = 1x - 3y - 6

Finally, add 9 to both sides, obtaining:

0 = 1x - 3y + 3

This result has the form Ax + By + C = 0, and is thus in standard form.

You might be interested in

A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manag

Studentka2010 [4]

Answer:

$360.

Step-by-step explanation:

First we need to find how much it costs for a single case of printer paper.

48 ÷ 2 = 24

It costs $24 to buy one case of 12 packages.

Now we have to figure out how many cases we will need to buy for the total amount of 180 packages.

I will divide 12 from 180.

180/12 = 15.

You will need to buy 15 cases to get 180 packages.

Now to find the cost, we have to multiply.

x = 15 (amount of cases)

y = $24 (price of case)

z = How much it costs.

$x * y=z$

Substitute:

$15*24=z$

Multiply:

$15 * 24= 360$

$z=360$

If the price does not change, the total cost of next month's order will be $360.

6 0

3 years ago

Select all pairs of numbers that have LCM of 18?

spayn [35]

Only C and D....................

8 0

4 years ago

2x + 5 = 8x - 13 Solve the equation. Do not use decimals in your awnser

Genrish500 [490]

Answer:

x = 6

Step-by-step explanation:

2x + 5 = 8x - 13 place like terms in the same side of the equation

5 + 13 = 8x - 2x add like terms

18 = 6x

6 = x

8 0

3 years ago

Read 2 more answers

I really need help here ASAP

AlexFokin [52]

Answer:

D. $x=\frac{-4-\sqrt{31}}{3}$ or $x=\frac{-4+\sqrt{31}}{3}$

Step-by-step explanation:

The given equation is:

$3x^2+8x=5$

Divide through by 3;

$x^2+\frac{8}{3}x=\frac{5}{3}$

Add the square of half the coefficient of x to both sides.

$x^2+\frac{8}{3}x+(\frac{4}{3})^2=\frac{5}{3}++(\frac{4}{3})^2$

$x^2+\frac{8}{3}x+\frac{16}{9}=\frac{5}{3}+\frac{16}{9}$

The left hand side is now a perfect square:

$(x+\frac{4}{3})^2=\frac{31}{9}$

Take square root

$x+\frac{4}{3}=\pm \sqrt{ \frac{31}{9}}$

$x=-\frac{4}{3}\pm \sqrt{ \frac{31}{9}}$

$x=-\frac{4}{3}\pm \frac{\sqrt{31}}{3}$

D. $x=\frac{-4-\sqrt{31}}{3}$ or $x=\frac{-4+\sqrt{31}}{3}$

5 0

3 years ago

What is the fully simplified expression for the perimeter of this paddock?

fomenos

The simplified expression for perimeter is: 24x+39

Further explanation:

The closed line which forms the boundary of any geometric figure is called perimeter.

To find the perimeter we take sum of all sides of figure

Let P be the perimeter of the given figure

$P=(9+8x)+7x+8x+7x+(19-8x)+(7x-3)+(14-5x)\\=9+8x+7x+8x+7x+19-8x+7x-3+14-5x\\=8x+7x+8x+7x-8x+7x-5x+9+19-3+14\\=24x+39\\$

The simplified expression for perimeter is: 24x+39

Keywords: Perimeter, Uneven figures

Learn more about perimeter at:

#LearnwithBrainly

7 0

4 years ago