find the equation of the line that passes through the point (-5, 12) with a slope of m=1/5

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

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Greetings from Brasil...

Translations

Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.

If the figure has 3 points (A, B and C), we would be left with:

A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)

A(X, Y) → A'(X ± m; Y ± n)

B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)

C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)

in our example - see attached figure - let

m = 4

n = - 1

(these values of m=4 and n=-1 were chosen by me arbitrarily)

A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)

B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)

--------------------------------------------------------------------------

Rotations

The expression (formula) for rotation will be:

P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then

in our example - see attached figure

A(1; 2) → A''(-2; 1)

B(2; 3) → B''(-3; 2)

______________________________

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Answer:

There are 6hrs and 38 minutes between 8:15 am and 2:53 pm

Step-by-step explanation:

8:15 a.m- 9:15 am= 1 hr

9:15 am- 10:15 am= 1 hr

10:15 am-11:15 am=1 hr

11:15 am- 12:15 pm= 1 hr

12:15 pm- 1:15 pm= 1 hr

1:15 pm- 2:15 pm= 1hr

2:15 pm-2:53 pm= 53-15= 38 min

Multiply 5 by 3.-15

I hope this is right :P

The value of (-5)³ is -125.

To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.

(-5)³ means raising -5 to the power of 3.

(-5)³ = (-5) × (-5) × (-5) = -125

Therefore, (-5)³ equals -125.

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Answer:

m = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

m - 4m = -6

Step 2: Solve for m

Step 3: Check

Plug in m into the original equation to verify it's a solution.

Here we see that -6 does indeed equal -6.

∴ m = 2 is the solution to the equation.

Answer:

4:1

Step-by-step explanation:

Answer:

4:1

Step-by-step explanation:

Answer:

I might be able to answer this if I could see the numbers for both the parallelograms. I can see it but some of the numbers are cut off.

Step-by-step explanation:

Thank you.

Answer:

Step-by-step explanation:

a.

Base=2+5=7

height=4+2=6

area=7×6=42 sq. units

eq. of base is y=-2

eq. of upper side is y=4

slope of left side is

y-(-2)=(0-(-2))/(-3-(-2))(x-(-2))

y+2=2/(-1) (x+2)

y+2=-2(x+2)

y+2=-2x-4

y=-2x-6

any line parallel to it is

y=-2x+a

(4,0) lies on it.

0=-2×4+a

a=8

eq. of right hand side is

y=-2x+8

b.

base=-3-(-7)=4

height=5-(-2)=7

area=4×7=28 sq. units.

eq. of base is

y=-2

eq. of upper side is

y=5

eq. of left side is

[tex]y-y1=\frac{y2-y1}{x2-x1}(x-x1)\\y-(-2)=\frac {5-(-2)}{0-(-7)}(x-(-7)}\\y+2=1(x+7)\\y=x+7-2\\y=x+5\\any~line~parallel~to~above~line~is \\y=x+k\\point~(0,1) ~lies~on~it.\\so~1=0+k\\k=1\\eq. of ~lie~on~the~right~side~is\\y=x+1[/tex]

Answer:

9

Step-by-step explanation:

3^4= 81

3^2= 9

81/9=9

hope this helped!!!! :)

Answer:

3^4 / 3^2 =

3^2 =

9

Answer:

17

Step-by-step explanation:

Answer:

a = apple

b = banana

a + b = 15 so a = 15 - b

0.07a + 0.13b = 1.59

substitute a = 15 - b into 0.07a + 0.13b = 1.59

0.07a + 0.13b = 1.59

0.07(15 - b) + 0.13b = 1.59

1.05 - 0.07b + 0.13b = 1.59

0.06b = 0.54

b = 0.54/0.06

b = 9

a = 15 - b

a = 15 - 9

a = 6

answer: 6 apples and 9 bananas

Step-by-step explanation:

Sarah had spent a total amount of $17.5 as y represents the total amount when x which represents the number of rides which will be 1.

In the given question, It is stated that Sarah had a set price for admission and for ride tickets. The equation representing this situation given in the question is y = 1.5x + 16, where y represents the total amount of money Sarah will spend, and x represents the number of rides she will have in the park.

We have been given a situation in which the value of x is set to be 1. So, taking x = 1 in the equation y = 1.5x + 16, We get :

       => y = 1.5(1) + 16   => y = 17.5

Here we get y = 17.5 which will be the total amount Sarah will spend in the amusement park.

Hence, when x = 1, y tells us the total amount Sarah spends in the amusement park which will be $17.5

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Answer:

The number of weeks Abe has been working out is the independent variable in the equation.

Step-by-step explanation:

Since Abe's weight is given by the equation

y = 250 − 3x

Every increase or decrease in the value of x in the equation will invariably lead to a change in the value of y.

If for instance Abe works out 5 weeks, her weight would be:

y= 250- 3*5

y=250-15

y=235

If she works out 3 weeks, her weight would be

y=250-3*3

y=250-9

y=241

Hence y weight is dependent variable while x weeks worked out is the independent variable in the equation

Answer:

−6a^5b+c

Step-by-step explanation:

The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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Answer:

13 days till Christmas

Answer:

13 days left

Step-by-step explanation:

25 - 12

= 13

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

Answer:

m=y8+2x

Step-by-step explanation:

Answer:

0.66% chance or 4/6 chance

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: I think B

Step-by-step explanation: Hope it helped! :)

The constant of proportionality is comes out to be 3.

When two variables are proportional to one another, their relationship can be expressed as y = kx or y = k/x, where k defines how the 2 factors are related to one another. The above k is recognized as the proportionality constant.

Now according to the question.

The proportionality constant denotes the ratio of the words x and y.

It is found by dividing Δy by Δx.

Δy/Δx = (y₂ - y₁)/(x₂ - x₁)

Consider two values from the table;

y₂ = 39 ; x₂ = 13

y₁ = 30 ; x₁ = 10

Substituting the values in the formula;

Δy/Δx = (39 - 30)/(13 - 10)

Δy/Δx = 9/3

Δy/Δx = 3

Therefore, the value of constant of proportionality is 3.

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The complete question is -

Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.

X      Y

10     30

13     39

14     42

21     63

Answer:

Step-by-step explanation:

⇒o 2/-3  Doesn't matter where the minus is as long as there an odd numbere of them.

o -3/-2

o -2/-3

⇒o - 2/3   This is given. Is it really listed.

o -3/2

o -2/2

There really are only 2 of them. 3/2 in any form is not equal to 2/3.

-2/2 = - 1 not -2/3

-2/-3 There are an even number of - signs. The answer is 2/3