how to write y-2=-1/3 (x+6) in standard form and why PLZ HELP

Answers

Answer 1

[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]

Simply move -2 to another side.

[tex]y=-\frac{x}{3}-2+2[/tex]

Distribute -1/3 in (x+6)

[tex]y=-\frac{x}{3}[/tex]        ---> Answer

Answer 2

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute

y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )

y  = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form


Related Questions

Consider the line y=6×-7
what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answers

Answer:

The slope of a line parallel to this line will be: 6

The slope of the perpendicular line will be: -1/6

Step-by-step explanation:

We know the slope-intercept form

[tex]y=mx+b[/tex]

Here,

m is the slope b is the y-intercept

Given the equation

[tex]y=6x-7[/tex]

Thus, the slope of the line is: 6

The slope of a line parallel to the line:

We have already determined that the slope of the line is: 6

We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: 6

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: 6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

[tex]\frac{-1}{6}\:\:[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}[/tex]

[tex]=-\frac{1}{6}[/tex]

Therefore, the slope of the perpendicular line will be: -1/6

y'all still have work oh my gosh ;((( WHENS YOUR HOLIDAY BREAK?? (mine started out yesterday)

Answers

mine starts on friday :D
yea finals next week! um you should give me motivation tho i have hella work to do and yk im just not motivated to do ittt. TS SUCKS

What is the result of adding these two equations? 50-y=6 -2x +y = 8​

Answers

Answer:

48x = 14

General Formulas and Concepts:

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Systems

50x - y = 6

-2x + y = 8

Step 2: Solve for x

Elimination

Combine 2 equations:                    48x = 14

HELPPP PLEASE!!

Solve for d:

3d-17 = 46

A. 15 1/3

B. 21

C. 5 2/3

D. 9 2/3

Answers

Answer: b

Explanation:
3d-17=46
+17 +17
3d = 63
63/3 = 21

WILL BRAINLIST
45 points

Drag each tile to the correct box. Not all tiles will be used.
Simplify the expression by arranging the steps in sequence, based on the order of operations,

Answers

it’s only 5 points disappointing

A bouncing toy reaches a height of 64 inches at its first peak, 48 inches at its second peak, and 36 inches at its third peak. Which explicit function represents the geometric sequence of the heights of the toy?

f(x) = 48(Five-sixths) Superscript x minus 1
f(x) = 48(three-fourths) Superscript x minus 1
f(x) = 64(three-fourths) Superscript x minus 1
f(x) = 64(Five-sixths) Superscript x minus 1

Answers

Answer:

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore, given as follows;

[tex]f(x) = 64 \times \left(\dfrac{3}{4} \right) ^{(x - 1)}[/tex]

The correct option is;

f(x) = 64(three-fourths)Superscript x minus 1

Step-by-step explanation:

The first peak height that the bouncing toy reaches = 64 inches

The second peak height that the bouncing toy reaches = 48 inches

The third peak height that the bouncing toy reaches = 36 inches

Therefore, given that the sequence has a common ratio, r = 48/64 = 36/48 = 3/4

The first term of the sequence, a = The first peak height reached = 64

The xth term of the geometric sequence with general form, xth term = ar⁽ˣ⁻¹⁾

The xth term of the geometric sequence, f(x), is therefore the correct answer is C

HELP ME WITH THIS PLEASE!! WILL MARK BRAINLIEST

Answers

Tan k = 15/8
Tan = opp/adj

Help Please and thank you

Answers

Answer:

2x + 3 = -7  ---> x = -5

4.5x - 7 = 20 ---> x = 6

-3x + 7 = 28 ---> x = -7

Step-by-step explanation:

2x + 3 = -7

2x = -10

x = -5

4.5x - 7 = 20

4.5x = 27

x = 6

-3x + 7 = 28

-3x = 21

x = -7

Help for BRAINLIEST! Find the missing coordinates of the points in the diagram

Answers

Answer:

(2, 2[tex]\sqrt{3}[/tex]) and (4,0)

Step-by-step explanation:

Let x be half of the triangles length

3x  = 6

x = 2

so B should be (2, 2[tex]\sqrt{3}[/tex])

and D should be (4, 0)

A hot tub pump circulates 3.9 cubic feet of water per minute.how many cubic inches of water does it circulate each second

Answers

Answer:

0.78 cubic inches/sec

Step-by-step explanation:

you take 3.9 cubic feet and multiply it by 12 to convert it into inches and you get 46.8 cubic inches. then you divide by 60 to convert minutes to second and you get 0.78. hope that helps

Answer:

1123.2 cubic inch per second

Step-by-step explanation:

3.9 feet^3 = per minute

? = second

39 = 60 sec

? = 1 sec

39/60 =0.65 feet cubic

1 cubic foot = 1728 cubic inch

0.65 feet cubic = ?

0.65 * 1728

= 1123.2 cubic inch

The question is in the photo

Answers

Answer:

49 and 97 is not the answer

A circle has radius 50 cm. Which of these is closest to its area?






Select one:
157 cm^2
314 cm^2
7,854 cm^2
15,708 cm^2

Answers

^two-dimentional figure^

area from circle

=

[tex]\pi \times r ^{2} [/tex]

=3,14 × 50²

=3,14 × 2500

=7850 cm².

closest= 7854 cm²

FINALLY FOUND

31. EF, given E(8, -3), (2, -5)
Domain
Range

Answers

Answer:

I think the domain would be the x values and range would be the y values in the given 2 points.

Domain : [2 , 8]

Range : [-5 , -3]

I hope you get this right.

If someone drove 640 miles in 4 hours how would you determine they would travel in 12?

Answers

Answer:

Step-by-step explanation:

if someone drove 640 miles in 4 hours,

, it means that they drove 640/4=160 miles per hour

in 12 hours

160*12=1920

or

640............................4 h

640*3.........................4*3 hours

which give syou the same answer

1920.............................12 hours

Answer:

1,920 miles

Step-by-step explanation:

640 divided by 4 = 160

160 x 12 = 1,920

Help please

Hint ( wave length is speed decided by frequency )

Physics The wavelength of a radio wave is defined as speed divided by frequency.
An FM radio station has a frequency of 9 x 10^7 waves per second. The speed of
the waves is about 3 x 10^8 meters per second. What is the wavelength of the
station?

Answers

Answer:

3.333 m

Step-by-step explanation:

Divide speed by frequency

3 x 10^8 / 9 x 10^7


The graph below represents which system of inequalities?

Answers

Answer:

c

Step-by-step explanation:

m-
GET
17.
xm+ xy
(b) fa x = 2, y = 3, m= 4 n= 1 45 m-n
xm-nxymn
मान पत्ता लगाउनुहोस्।
If x = 2, y = 3, m = 4 and n= 1, find the value of
xm+nxy
Ans:
xm-nxym
m-n
+10
m + n.​

Answers

Answer:

[tex]xm+nxy=14[/tex]

Step-by-step explanation:

Given that x = 2, y = 3, m = 4 and n= 1.

Putting all the given values to get the value of xm+nxy.

So, the value of [tex]xm+nxy=2\times 4 + 1\times 2 \times 3=14[/tex]

Hence, [tex]xm+nxy=14[/tex].

tyrell walks 12 miles in 3 hours. which graph has the slope that best represents his rate

Answers

The graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

How to Find the Slope of a Proportional Relationship Graph?

For any proportional relationship, we can find the slope of the graph by using any point on the line of the graph. The slope of the graph is also the unit rate, Therefore, picking a point on the line, (x, y), we have:

Slope (m) = y/x.

Number of miles Tyrell walks (y) = 12 miles

Time spent working (x) = 3 hours

The unit rate or slope = y/x = 12/3

Slope/unit rate (m) = 4 miles per hour.

From the graphs given, only graph B has the same unit rate/slope as 4, when we use the point, (5, 20).

Slope of graph B = 20/5 = 4.

Therefore, the graph that has the slope that best represents the unit rate of 4 miles per hour is: graph B.

Learn more about slope of a graph on:

https://brainly.com/question/12242745

#SPJ1


Given: Parallelogram QRST where QR = 6X - 5
and RS = 4x + 13. What is the length of QT?

Answers

since RS and QT are equal your equation would be x=4x+13 so you’d cancel out the 4x which would give you the equation -3x=13 then divide both sides by -3 which would leave you with x=-13/3

The length of QT should be considered when the Parallelogram QRST where QR = 6X - 5 is to be [tex]x=-13/3[/tex].

Calculation of the length of QT:

SInce

Parallelogram QRST where QR = 6X - 5 and RS = 4x + 13

So here we can write like

-3x = 13

x = [tex]-13 /3[/tex]

hence, The length of QT should be considered as the [tex]x=-13/3[/tex].

Learn more about length here: https://brainly.com/question/21005254

The lines shown below are parallel. If the green line has a slope of -4, what is
the slope of the red line?

Answers

Answer:no graph is shown below

Step-by-step explanation:

But since is no solution they can't have the same slope.

For the AAS theorem to apply which side of the triangle must be known?
A. The included side
B. The longest slide
C. The shortest side
D. The non-included side

Answers

Answer:

option a is answer (the included side)

For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

What is AAS theorem?

In the case when there is two angles and there is nonincluded side for one triangle that should be congruent to two angles and a nonincluded side of a second triangle, so the triangles should be considered as the congruent.

therefore, For the AAS theorem to apply which side of the triangle must be known option d. The non-included side.

Learn more about option triangle here: https://brainly.com/question/4344649

Determine the intercepts of the line

Answers

Answer:

The y-intercept is 2

Step-by-step explanation:

In the image you can see the line going through the 2.

Answer: x-intercept = -7

Explanation:

As you can see the line pass through the x-axis at point -7

Select all the ratios that are equivalent to 9:6.

A 6:9

B 3:2

C 13:10

D 5:2

E 18:12

Answers

Answer:

B and E

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

9:6 reduced is 3:2

5 Clear Which number line best represents the solution to the inequality 18x + 3 < 48? ​

Answers

Answer:

D

Step-by-step explanation:

you must solve first

18x < 45

x < 2.5

the number line will have an arrow with an open circle since it does not include 2.5. the line will head towards 0 and negatives since it's less than 2.5 so your answer is D

Complete the inequality below to describe the
range of the graph shown.
Range:
<<5

Answers

Fill in the inequalities below to specify the graph's domain shown. Domain: __ is not greater than or equal to x, which is below 4.

Fill in the inequalities below to specify the graph's range shown.

Range: __ is not greater than or equal to y, which is below 5.

The domain and range is the graph's domain is its set of potential input values, and its range is its set of potential output values.

Following is the finished inequality reflecting the set of the domain and range;

First,

Domain: -4 is below x, which is below or equal to 4.

Second,

Range: -2 is below y, which is below or equal to 5

The attached graph shows that the point (-4, 5) has an open circle, which denotes that the point has no value.

The closed circle at the other end of the graph, at the coordinates (4, -2), denotes that the graph has a value at that location (4, -2)

First,

The domain of a graph is the set of potential inputs (x-values) for the graph, expressed as inequality is -4 < x ≤ 4

Therefore;

To complete the inequality for the domain, gives;

Domain: -4 is less than x which is less than or equal to 4

Second,

The range of a graph are the possible output (y-values) of the graph, in inequality notation, the domain of the attached graph is -2 ≤ y < 5

the domain supplies the necessary inequality to be complete;

Range: -2 is less than or equal to y which is less than 5.

Learn more about the domain and range of a graph here:

brainly.com/question/15164206

#SPJ9

7
Add: 4.0 + 3y + 2z and 3x + 5y + 3z

Answers

Answer:

8y+2zand^3x+3z+4

Step-by-step explanation:

evaluate 5x-[21-(3-11)x] when x=-2​

Answers

Answer:

-15

Step-by-step explanation:

(5)(−2)−(21−(3−11)(−2))

=−15

HAve a wonderful day Brainliest Please.

Olympus Mons's peak rises 25 km above the surface of the planet Mars. The diameter of Mars is approximately 6794 km. What is the distance from the peak of Olympus Mons to the horizon to the nearest kilometer?

Answers

Answer:

1.17*10^14 km

Step-by-step explanation:

kindly find attached the image for your reference

Step one:

The diameter of Mars is approximately 6794 km

hence the radius is = 6794/2= 3397km

Step two:

Use the Pythagorean Theorem

[tex]x^2 + 3397^2 = (3397 + 25)^2\\\\[/tex]

[tex]x^2 + 11539609 = (11710084)^2\\\\x^2 + 11539609 = (11710084)^2\\\\x^2= (11710084)^2-11539609 \\\\x^2= 1.37*10^14-11539609 \\\\x^2=1.37*10^14\\\\x= √1.37*10^14\\\\x=1.17*10^14 km[/tex]

Help lots of point + brainliest plz

write in slope intercept and standard form

Answers

Answer: 4

Step-by-step explanation:

what is 3/5 divided 2 1/2?

Answers

Answer:

6/25 or 0.24

Step-by-step explanation:

(3/5) / (2 1/2) =

(3/5) / (5/2) =

(3/5) × (2/5) =

6/25 = 0.24

Answer:

6/25

Step-by-step explanation:

I Divided 3/5 by 1/2

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