Find the equation of the line through the points (−2,5) and (4,9).

Enter your answer in standard form Ax+By=C, where A is a positive integer, and B and C are integers.

Answers

Answer 1

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

Additional comment

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

Find The Equation Of The Line Through The Points (2,5) And (4,9).Enter Your Answer In Standard Form Ax+By=C,

Related Questions

can someone explain this

Answers

Answer:

Step-by-step explanation:

To find measures of angles m and n

The triangle to the left has three sides of equal length.

This means that it will also have three angles of equal measure.

The internal angles of a triangle sum to 180°

So the internal angles of the left triangle are 180/3 = 60°

The top right angle is made up of one of the 60° angles and angle n

60 + n = 90

n = 30°

Again the internal angles of a triangle sum to 180°, so the right triangle

m + n + 90 = 180

m = 180 - 90 - 30

m  = 60°

or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.

Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore

m = 60°

Write the value of 7 in the number762,039.34

Answers

Answer:

700,000.00

Step-by-step explanation:

Answer:

the place value is in the hundredth thousands

Use the diagram to find the measures of each angle. Explain your reasoning.

Answers

Answer:

EBD:130°

ABE:50°

Step-by-step explanation:

EBD=ABC=130°

ABE=CBD=50°

If an angle cuts out an arc length of a circle AND the arc length is SHORTER than the
radius, what is true about the angle?

it is less than pi radians
it equals pi radians
it is greater than pi radians

Answers

We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.

The correct option is:

"it is less than pi radians"

A circle of radius R has a circumference:

C = 2*pi*R

An arc defined by an angle θ has a length:

L = θ*R

Now, we know that the length of the arc is smaller than the radius, then we have:

θ*R < R

Dividing both sides by R we get:

θ < 1

So we can see that the correct option is:

"it is less than pi radians"

Because it is smaller than 1.

If you want to learn more, you can read:

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Please help. i dont know what to put.

Answers

Answer:

a and b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

perpendicular lines intersect to form a 90 degree (or 'right') angle

Is (2, 9) a solution to this system of equations?
y = 6x + 7
y = x + 7
yes
no

Answers

No it isn't. Using the substitution method, if we substitute x for 0, we get

y = 6(0)+7

y = 0+7

y = 7

y = 0+7

y = 7

Hence the solution is (0,7)

what is the scientific notation for 3 cm

Answers

Answer:So sorry come back later

So sorry come back later

Step-by-step explanation:So sorry come back later

(11/0x−2/3)−(4/5x−1/6)

(−5/6x−7/12)−(−1/3x−1/4)

(−1/2x+7/10)−(−3/4x−1/5) .

Answers

Answer:

21x

Step-by-step explanation:

21×

Step-by-step explanation:

that my answer my anwer

convert 84 2/3% to a fraction in lowest terms

Answers

Answer:

Step-by-step explanation:

Multiply the numerator by the reciprocal of the denominator.

251

300

 

= 56

How do you convert a fraction into percentage?

To write the fraction as the % we 1st need to write it as a fraction out of 100.We write the fraction out of 100 by using equivalent fractions.This means that we must multiply numerator. The number on above of the fraction.We can 1st multiply the top or bottom of the fraction 4 / 5 by 2.

Any number can be converted to fraction if you use one for the denominator:

84/1

Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.

all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :

2 x 84 / 3 x 1

= 168 / 3

In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.

We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.

168/3 = 56

3/3 = 1

When we put that together, we could see that our complete solution is:

56/1

= 56

Learn more about fraction here

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Click the least number in this set of numbers.
|-1.61,
5.28 x 10,
V50,
2
5
0.3

Answers

Answer:

-2/5 is correct

Step-by-step explanation:

pls help !!!!!!!!!!!!!!!

Answers

Answer:

d = 32.1°

Step-by-step explanation:

79.7 (measure of the whole angle) - 47.6 (measure of the left over angle) = d

Someone help me with this it’s due!!!!

Answers

Hi the answer is 10.

The left side went from 18 to 6. So it got scaled down by a factor of 1/3.

If the bottom side is originally 30. It will get scaled down to 10 because 30*1/3 = 10.

Answer
20 inches
When the instructions says a triangle is similar it means they are exactly the same unless otherwise specified
We need to find the ratio
The DE is 6 inches while AB is 18 inches
The ratio between DEC and ABC is 1:3
So if AC is 30 the Dc should be 10
Next we should subtract DC fromAC to find AD
30-10=20
The answers AD=20 inches
Hope it helps

S=4LW+2WH; S =138, L = 9, W = 3

Answers

Step-by-step explanation:

Given,

S = 4LW + 2WH

S = 138

L = 9

W = 3

so value of H,

138 = 2(9)(3) + 2(3)H

138 = 54 +6H

6H = 138 - 54 = 84

H = 84/6 = 14

therefore, value of H is 14.

hope this answer helps you dear and may u have a great day, take care

Type the correct answer in the box. If necessary, use / for the fraction bar.
A solid wooden block in the shape of a rectangular prism has a length 3/8, width, and height of centimeter, 1/8 centimeter, and centimeter, 5/3 respectively.
The volume of the block is cubic centimeter. The number of cubic wooden blocks with a side length of centimeter that can be cut from the rectangular block is .
Reset Next

Answers

Given  : A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.

To Find :The volume of the block

The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block  .  

Solution:

Volume of    rectangular prism  = length * width * height

= (3/8) ( 1/8) ( 5/8)

= 15/8³

= 15/512

= 0.029296875   cm³

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

Volume of cube  =  ( edge length )³

=>  cubic wooden blocks volume  = (1/8)³  = 1/512   cm³

The number of cubic wooden blocks that can be cut =   (15/512) / (1 /512)

= 15

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

The number of cubic wooden blocks that can be cut = 15

The volume of the wooden block is 5/64 cubic centimeters

How to determine the volume of the wooden block?

The given parameters are:

Length = 3/8

Width = 1/8

Height = 5/3

The volume of a rectangular prism is:

Volume = Length * Width * Height

So, we have:

Volume = 3/8 * 1/8 * 5/3

Evaluate the product

Volume = 5/64

Hence, the volume of the wooden block is 5/64 cubic centimeters

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Please help, I'm confused
30 x ( 3 x 10 negative 4) Be sure the answer is in scientific notation. A) 90 x 10 negative 4. B) 9 x 10 negative 3. C) 90 x 10 negative 3. D) 9 x 10 negative 5​

Answers

Answer:

are these all the same question?

You have a choice between going to an​ in-state college where you would pay ​$3000 per year for tuition and an​ out-of-state college where the tuition is ​$6500 per year. The cost of living is much higher at the​ in-state college, where you can expect to pay ​$1000 per month in​ rent, compared to ​$450 per month at the other college. Assuming all other factors are​ equal, which is the less expensive choice on an annual​ (12-month) basis?

Answers

Answer:

The less expensive choice is the out-of-state college

Step-by-step explanation:

in-state-college: 1000(12)+3000=15000

out-of-state-college:450(12)+6500=11900

The following list gives the number of public libraries in each of 8 cities.
8, 8, 11, 7, 10, 7, 9, 9
Find the modes of this data set.
If there is more than one mode, write them separated by commas.
If there is no mode, click on "No mode."

Answers

Mode is a number that occurs most. So the mode(s) here are 7, 8, 9

Answer:

There are 3 modes: 8, 7, 9

Step-by-step explanation:

Mode is the number that appears the most often

Two rules for creating a pattern are given below. Each rule begins with a number called the input and creates a number called the output.

Rule 1: Increase the input by 4 to get the output.
Rule 2: Multiply input by 2. Then subtract 1 to get the output.

Which input and output table works for both rules?

Choose 1 answer:

Answers

It’s A. Just try putting the numbers in yourself. 5 + 4 = 9 so the first rule works. 5 x 2 - 1 = 9 so the second rule works.

Answer:

A

Step-by-step explanation:

You can just check all of them in a minute.

Input               Output               Rule 1               Rule 2

  5                       9                  5 + 4 = 9 ✔      (5 × 2) - 1 = 9 ✔

 10                     14                10 + 4 = 14 ✔    (10 × 2) - 1 = 19 ❌

  8                      15                 8 + 4 = 12 ❌    (8 ×  2) - 1 = 15 ✔

Only the first one (A) works with both rules.

I hope it helps. Please choose my answer as the BRAINLIEST.

                               

Describe or show how to find the following product using both an algorithm and a diagram:1/4×2/3

Answers

An algorithm is the series of steps followed to do calculations especially by a computer.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex]  =[tex]\frac{1}{6}[/tex]

The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]

= (1×2)/(4×3)  ⇒ the numerators are multiplied and so the denominators

= 2/12

Now 2 is taken as common from both 2 and 12 ( numerator and denominator)

= (2/2 ) 1/6   taking 2 as common factor

= 1/6         cancelling 2 by 2

The diagram can be used to explain the same fact.

1 is multiplied with 2 and 4 is multiplied with 3.

Therefore we get 2 as numerator and 12 as denominator.

2/12 is further reduced to 1/6

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(B) 1. Noah is three years younger than four times the age of his brother. Select all the equations that correctly represent the relationship between Noah's age n and his brother's age b. A. n = 3 - 46 B. n = 4b - 3 C. n = 4(6-3) D. b = " E. b = 4n - 3 F. b = +3​

Answers

Answer:

i beleive it would be b4-3=n

The figure below has a point marked with a large dot.
First, rotate the figure 270° clockwise about the origin.
Then, give the coordinates of the marked point in the original figure and the final figure.

Answers

Answer:

( 5 , - 3 ) -------> ( 3 , 5 )

Step-by-step explanation:

After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.

Given is a figure rotated 270° clockwise about the origin.

The algebraic rule for a figure that is rotated 270° clockwise about the origin is -

(x, y) → (y, -x)

Initial point marked on the figure : (5, 3)

After the rotation, the points will be : (3, - 5)

Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

To solve more questions on rotation and dilation, visit the link below -

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The graph shows a system of equations:
Y= -x - 2 y = 2x - 5 what is the solution (-1 , 3) (1 , -3) (1 , 3 ) ( -1, -3) vi

Answers

Answer:

(1 , -3)

Step-by-step explanation:

The system of linear equations intersect exactly at one point. This point where the two lines intersect is the solution of the system of equations.

Find the intersection point on the graph Determine the abscissa or x-coordinate  ( horizontal distance) which is 1Determine the ordinate or y-coordinate (vertical distance) which is -3The ordered pair is the solution (1, -3)

Here is a list of numbers:

24
,


87
,


79
,


82
,


12
,


2
,


79
,


32
,


46
,


90

Answers

Answer:

Light Red

Step-by-step explanation:

The pH of apple juice is found to be in the range of 2.9 - 3.5. So, the Colour of the universal indicator (pH paper) will be light red.

Heyyy can you help yes no maybe do.?.?.?.?.?

Answers

The answer is 5.10.

Wanna know why? Well

63.50 divided by 5 Minus .90. Your welcome

I know I'm awsome.

Brainliest pls

Maggie's brother is 4 years younger than twice her age. The sum of their ages is 17.

How old is Maggie?

Maggie is
years old.

Answers

Maggie is 7 years old

Step-by-step explanation:

m+2m-4=17
3m-4=17
3m=21
m=7

3(2x+5)=45 I need help doing it in the proof form in 4 steps

Answers

Well 2x5 is 10 add 3 13 + 32 = 45

help me with this guys !! (a lot is points like 80) PLEASEEE HELP

1)what is the value of this expression? 4m + 2n, when m = 7 and n = -2

2) Use the formula: P=abc, to work out for P when a = 2, b= 3 , c =4

3)what is the correct option (expression) for this “multiply n by 9 then adds 5’’?

options

a: 9(n+5)
b: 9n + 5
c: 5n + 9
d: 5(n+9)

4)use the position -to-term rule to find the first four terms in the sequence. term = 3x position number + 3

5) amy thinks of. number n. what is the correct expression if she doubles ur and -‘s 7

6)

Answers

Answer:

1) 24

2) 24

3) b. 9n +5

Step-by-step explanation:

1) substitute

4(7) + 2(-2)

solve

28 + -4

24

2) substitute

P = (2)(3)(4)

multiply

24

4) im not sure, my apologies

5) i'm not sure, i don't understand what's being asked, if you rephrase this, i can give you an answer

have a lovely day <3

Answer:

1) 24

2) P=24

3) B: 9n+5

4) 6, 9, 12, 15, 18, 21...

Step-by-step explanation:

1) 4(7) + 2(-2) = 24

2) P = (2)(3)(4) = 24

3) 9n+5

4) 3+3=6+3+3+3

how to solve f(4) = x^2+7x-22

Answers

Answer:

22

Step-by-step explanation:

1. Plugin 4 for each corresponding X value

2. Should look like 4^2+7(4)-22

3. Once ran through a calculator you should end up with a value of 22

How can 38 over 6 be expressed as a decimal?

Answers

Answer:

the answer is 6.3

Step-by-step explanation:

sorry if I did it wrong

Answer:

D or the last option

Step-by-step explanation:

38/6, so 6 can go on 38 6 times, means it will be 6 times 6, which is 36. So, we can eliminate the answers A and B.

38-36 = 2, which is the left over. Now You add a decimal point and bring down a zero and make it 20. and 6 can go on 20, 3 times... 6 times 3, which is 18.

20-18= 2, so you do the same thing over and over again, the answer is 6.3

someone please answer!!

Answers

Answer:

40°

Step-by-step explanation:

180-(57+43)=100°

which mean the angle at the top =100°

180-100=80°

x=80/2

x=40

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