All categories

3 years ago

You are given the line g1 with its general equation g1: 2x - 3y - 6 = 0

Mathematics

1 answer:

sergeinik [125]3 years ago

8 0

Answer:

$x=\frac{3}{2}y+3$

Step-by-step explanation:

Let's solve for x.

2x−3y−6=0

Step 1: Add 3y to both sides.

2x−3y−6+3y=0+3y

2x−6=3y

Step 2: Add 6 to both sides.

2x−6+6=3y+6

2x=3y+6

Step 3: Divide both sides by 2.

3y+6

You might be interested in

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

6 0

4 years ago

Find the total cost of a 36 month car lease, if: monthly payment = $175 down payment = $1,500 residual value = $10,000

givi [52]

17,800 is correct answer or the third one

3 0

4 years ago

Read 2 more answers

Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair

evablogger [386]

Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the total cost is composed by:

The rental fee of $99.

The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.

Hence, the total cost is given by:

C = $3.85 x 40 + $99 = $253.

More can be learned about proportions at brainly.com/question/24372153

5 0

2 years ago

14 What are the solutions to the equation 3(x − 4)² = 27?

Marat540 [252]

Answer:

(1) 1 and 7

Step-by-step explanation:

Hello!

We can solve by isolating the variable.

<h3>Solve</h3>

3(x - 4)² = 27
(x - 4)² = 9
√(x - 4)² = √9
(x - 4) = ± 3
x = 4 ± 3

There are two solutions, 1 and 7.

The answer is option 1: x = 7, x = 1.

4 0

2 years ago

Pls help due ASAP <br> Show workings

svet-max [94.6K]

Answer:

x=13

Step-by-step explanation:

The 2 angles are corresponding meaning that they are equal to each other so the equation is going to be

6x-3=5x+10

step 1 add 3 to each side

6x=5x+13

step 2 subtract 5x from each side

x=13

4 0

3 years ago