What is the slope of the line whose equation is 12= 4x-6y

Answers

Answer 1

Answer:

Answer:

The slope of the line is 2/3.

Step-by-step explanation:

In order to find the slope of the line with the equation $12 = 4x - 6y$ , we need to rearrange the equation into slope-intercept form, which is $y = mx + b$ , where m is the slope.

First, let's isolate y on one side of the equation:

$\large\begin{aligned} 12 &= 4x - 6y \n 6y &= 4x - 12 \n y &= (4)/(6)x - (12)/(6) \n y &= (2)/(3)x - 2 \end{aligned}$

Now we can see that the slope is 2/3.

Answer 2

Answer:

Answer: m = -2/3

Step-by-step explanation:

We are asked to calculate the slope of the following line:

$\longrightarrow\quad\sf{12=4x-6y}$

But before we start, let's rearrange our equation. We'll write it in slope intercept form.

So first, we write it this way:

$\longrightarrow\quad\sf{4x-6y=12}$

Next, we subtract 4x from both sides:

$\longrightarrow\quad\sf{-6y=12-4x}$

Next, divide both sides by -6:

$\longrightarrow\quad\sf{y=\cfrac{12}{-6}-\cfrac{-4x}{-6}}$

$\longrightarrow\quad\sf{y=-2-\cfrac{4}{6}x}$

$\longrightarrow\quad\sf{y=-\cfrac{2}{3}x-2}$

Our equation is now in slope-intercept form. The next step is to find the slope, which is the number in front of x. In this case, this number is -2/3.

Therefore, the slope is -2/3.

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X over two is equal to 11
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Does the equation x2 - 6x + y2 - 6y = -9 intersect the y-axis? A) Yes, it intersects the y-axis at (0, 3). B) Yes, it intersects the y-axis at (3, 0). C) No, because the circle is entirely in the first quadrant. D) No, because the center is a (3, 3) and the radius is 9.

Answers

Answer:

The answer to your question is letter A

Step-by-step explanation:

Data

x² - 6x + y² - 6y = -9

Process

1.- Find the center

x² - 6x + ( )² + y² - 6y + ( )² = -9

x² - 6x + (3)² + y² - 6y + (3)² = -9 + 9 + 9

(x - 3)² + (y - 3)² = 9

Center = (3, 3)

radius = 3

See the graph below

2.- From the previous information and the graph, we conclude that the equation intercepts the y-axis in (0,3)

Answer:

it is a

Step-by-step explanation:

its just a

For a certain experiment, the available experimental units are 12 people-six females

Answers

Answer:

Step-by-step explanation:

6 people are males

6 people are females

Use the Distributive Property to evaluate each expression.-2(8-5)

A. -21
B. -6
C. 6
D. 18

Answers

Answer: c

Step-by-step explanation:

You multiply each number by 2 and then you subtract each number then you finally get 6

A small university has six identical parking lots that hold a total of 1110 cars. Write an equation to find the number of cars each parking lot can hold.

Answers

Each parking lot can hold 185 cars.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

Let's denote the number of cars each parking lot can hold as x.

Since there are six identicalparking lots, the total number of cars they can hold is 6x.

According to the problem, the total number of cars that can be parked in these six lots is 1110.

So we can write:

6x = 1110

This equation relates the number of cars each parkinglot can hold (x) to the total number of cars that can be parked in all six lots (1110).

To solve for x, we can divide both sides of the equation by 6:

x = 185

Therefore, the required number is 185 cars.

To learn more about the division;

brainly.com/question/13263114

#SPJ3

Because they are all identical, they share the same amount of cars. So the equation would be 6x=1110

How do you use numerical expressions to solve real-world problems?

Answers

Answer:

We know that numerical expressions are the expressions that contains numbers and operations namely addition, subtraction, multiplication and division.

Now, numbers are required in our life to make it easier.

For e.g. If we need to find the number of candies which are to be distributed among the class of 50 students, where each student get 2 candies each.

We do not start counting the numbers but instead use numerical expressions as,

Number of students in the class = 50

Number of candies each student gets = 2

Total number of candies required = 50 × 2 =100.

So, we see that in place of using the time consuming method of counting, we used numerical expressions which saved the time and was easy to apply.

In this way, there are numerous real-life situations which are easily solved with the help of numerical expressions such as when we need to find how much discount is applied to a product, to find the area of a rectangular park, to find the amount of ingredients required to bake a cake and many more.

The numerical expression is very helpful to solve the real world problem as they can be written in mathematical way and solved by algebraic operations.

What is numerical expression?

Number expression are the expression, which are used to represent the statement of general problem in the mathematical form. By this mathematical form the problem can be solved and real solution is find out.

The numerical expression are used to represent the general problem in the mathematical way to solve them.

The numerical expression find the value of unknown objects.

Steps to write down the simple numericalexpression-

Identify all the factors of the expression..

Find the expression which gives same results.

Equate the similar expressions.

For example let a problem in which there is total Andrew has 10 toys. He gives 2 to his brother, 3 to his friend and got 5 toys form his mother.

To find how many toys Andrew remains, we can write this problem in the numerical expression as,

$10-2-3+5=8-3+5\n10-2-3+5=5+5\n10-2-3+5=10\n$

Thus, the Andrew has 10 toys left.

Hence, the numerical expression is very helpful to solve the real world problem as they can be written in mathematical way and solved by algebraic operations.

Learn more about the numerical expression here;

brainly.com/question/787279

A motor cyclist travels 800 metres in 40 seconds. Calculate the speed in kilometre per hour.

Answers

Answer: 72

Step-by-step explanation:3600 (The number of seconds in an hour)/40 is equal to the number you have to multiply by 800 to get the meters per hour.3600/40=90. 90 x 800 = 72,000. Divide this number by 1000 and you find the answer is 72.Thank me later.I am out.

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