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3 years ago

What is -3y = 12+3x?m=y=

Mathematics

2 answers:

stich3 [128]3 years ago

7 0

Answer:

$\displaystyle y = -4 - x \\ -1 = m$

Step-by-step explanation:

$\displaystyle \frac{-3y}{-3} = \frac{12 + 3x}{-3} \\ \\ y = -x - 4$

* In the Slope-Intercept Formula [y = mx + b], b represents the y-intercept, and the rate of change [slope] is represented by m.

I am joyous to assist you anytime.

lana66690 [7]3 years ago

4 0

Step-by-step explanation:

-3y=12+3x

-y=4+x

y=-4-x and m which is the gradient is the coefficient of x which is -1, therefore m=-1

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You volunteer at an animal shelter on the weekends and today is adoption day! At the beginning of the event, you start with 44

Angelina_Jolie [31]

6 cats/kittens were adopted.

Step-by-step explanation:

Given,

Number of cats/kittens at the event = 44

Number of cats/kittens adopted = x

Number of cats/kittens returned = Twice returned as adopted = 2x

New total = 50

We will subtract the adopted and add the returned cats/kittens.

Total cats/kittens at event - adopted + returned = New total

$44-x+2x=50\\44+x=50\\x=50-44\\x=6$

6 cats/kittens were adopted.

Keywords: expression, variables

Learn more about variables at:

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8 0

4 years ago

Find the slope of the line passing through the points (-6,7) and (-8,5)

kykrilka [37]

Answer:

Slope = 1

Step-by-step explanation:

4 0

2 years ago

Select the solution to the graph from the following points. Select all that apply.

stellarik [79]

Answer:

The solutions are:

(-15 , -4) ⇒ 1st

(3 , 2) ⇒ 3rd

(21 , 8) ⇒ 5th

Step-by-step explanation:

To find the solution of the graph let us make the equation of the line by using any two points on the line

The form of the linear equation is y = m x + b, where

m is the slope of the line
b is the y-intercept (value y at x = 0)

The formula of the slope is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

From the figure

∵ The line passes through points (-3 , 0) and (0 , 1)

- Find the slope of the line

∴ $m=\frac{1-0}{0--3}=\frac{1}{3}$

- Substitute the value of m in the form of the equation

∴ y = $\frac{1}{3}$ x + b

∵ b is the value of y at x = 0

∵ y = 1 at x = 0 ⇒ y-intercept

∴ b = 1

∴ y = $\frac{1}{3}$ x + 1

Lets substitute the x-coordinate of each point to find the y-coordinate, if the y-coordinate is equal to the y-coordinate of the points, then the point is a solution

Point (-15 , -4)

∵ x = -15

∴ y = $\frac{1}{3}$ (-15) + 1

∴ y = -5 + 1 = -4 ⇒ same value of the point

∴ (-15 , -4) is a solution

Point (-6 , 1)

∵ x = -6

∴ y = $\frac{1}{3}$ (-6) + 1

∴ y = -2 + 1 = -1 ⇒ not the same value of the point

∴ (-6 , 1) is not a solution

Point (3 , 2)

∵ x = 3

∴ y = $\frac{1}{3}$ (3) + 1

∴ y = 1 + 1 = 2 ⇒ same value of the point

∴ (3 , 2) is a solution

Point (12 , 9)

∵ x = 12

∴ y = $\frac{1}{3}$ (12) + 1

∴ y = 4 + 1 = 5 ⇒ not the same value of the point

∴ (12 , 9) is not a solution

Point (21 , 8)

∵ x = 21

∴ y = $\frac{1}{3}$ (21) + 1

∴ y = 7 + 1 = 8 ⇒ same value of the point

∴ (21 , 8) is a solution

6 0

3 years ago

How can you best describe a stop sign using polygons? the sign has sides, so it is . it appears to be because the sides and angl

USPshnik [31]

A polygon is a two-dimensional closed object. The polygon that best describes a stop sign is a regular octagon.

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

A polygon is a two-dimensional closed object with n number of straight sides that is flat or planar and the value of n is always greater than 2 (n>2).

<h3>What is an octagon?</h3>

An octagon is a polygon that has 8 number of sides.

As we know that a stop sign has 8 sides, therefore, the polygon that is in the shape of the stop sign is an octagon.

An octagon has 8 sides, and as it is mentioned in the problem that sides and angles appear to be congruent, therefore, the polygon must be a regular polygon.

Hence, the polygon that best describes a stop sign is a regular octagon.

Learn more about Polygon:

brainly.com/question/17756657