2. Write the equation of the line parallel to y = -4x/3 + 5 thru (-6,1). Show all work.​

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf y= - \frac{4}{3} x -7}}[/tex]

Step-by-step explanation:

We can find the equation using the point-slope formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point and m is the slope.

We already know the point is (-6,1). We must find the slope.

We are told the line is parallel to y=-4x/3 +5. Since this line is in y=mx+b form, the slope (m) must be -4/3. Parallel lines have equal slopes, so the line we are finding also has a slope of -4/3

Next, define values for the variables.

[tex]x_1= -6 \\y_1= 1\\m= - \frac{4}{3}[/tex]

Substitute the values into the formula.

[tex]y-1= - \frac{4}{3} (x--6)[/tex]

[tex]y-1= - \frac{4}{3} (x+6)[/tex]

Now put the equation into the form y=mx+b. First, distribute the -4/3 .

[tex]y-1= - \frac{4}{3} *x+ - \frac {4}{3}*6[/tex]

[tex]y-1= - \frac{4}{3} x - 8[/tex]

Add 1 to both sides to isolate y.

[tex]y-1+1= - \frac{4}{3} x - 8+1[/tex]

[tex]y= - \frac{4}{3} x -7[/tex]

The equation of the line is y=-4/3x -7


Related Questions

what is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high

Answers

To find the volume of something just multiply the Length times Width times Height so, 14x7x10 = 980

The volume of the box will be → 980 square inches.

What is the volume of a cuboid?

The volume of cuboid is found using the formula:

Volume = Length × Width × Height

Given is the volume of a box that is 14 inches long, 7 inches wide, and 10 inches high.

The volume of the box will be→

V= L x B x H

V= 14 x 7 x 10

v = 140 x 7

V= 980 square inches

Therefore, the volume of the box will be → 980 square inches

To solve more questions on cuboid, visit the link below-

https://brainly.com/question/23118276

#SPJ2

Help please, what's the answer?

Answers

Question 7

Exponential functions have a variable degree.

Answer is 3^x + 6.

Question 8

Changing 15.3% to a decimal, we get 0.153.

Answer: Choice (4)

Negative nine minus negative ten?

Answers

Answer:

-9 - 10 = -19

Step-by-step explanation:

If both numbers are a negative, then add them together but keep the negative or minus sign

Hope this Helps!!!

A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?

Answers

Answer:

a) 83.099% of the club members had watched Naruto or Death Note.

b) 15.493% of the club members had watched only Naruto

c) 33.803% of the club members had watched only Death Note.

Step-by-step explanation:

First we find the number of students which each habit, treating the habits as Venn sets.

I am going to say that:

Set A: Watched an episode of Naruto.

Set B: Watched an episode of Death Note.

24 had watched both an episode of Naruto and an episode of Death Note:

This means that [tex](A \cap B) = 24[/tex]

48 had watched an episode of Death Note

This means that [tex]B = 48[/tex].

We have that:

[tex]B = (B-A) + (A \cap B)[/tex]

In which B - A are those who watched only Death Note. So

[tex]48 = (B-A) + 24[/tex]

[tex](B-A) = 24[/tex]

35 members had watched an episode of Naruto

This means that [tex]A = 35[/tex].

[tex]A = (A-B) + (A \cap B)[/tex]

[tex]35 = (A-B) + 24[/tex]

[tex](A-B) = 11[/tex]

At least one:

This is

[tex](A \cup B) = A + B - (A \cap B)[/tex]

So

[tex](A \cup B) = 35 + 48 - 24[/tex]

[tex](A \cup B) = 59[/tex]

Total number of students:

59 at least one, 12 none, so 71 total.

(a) What percent of the club members had watched Naruto or Death Note?

At least one, so 59 out of 71

59*100/71 = 83.099

83.099% of the club members had watched Naruto or Death Note.

(b) What percent of the club members had watched only Naruto?

11 out of 71. So

11*100/71 = 15.493

15.493% of the club members had watched only Naruto.

(c) What percent of the club members had watched only Death Note?

24 out of 71. So

24*100/71 = 33.803

33.803% of the club members had watched only Death Note.

Answer:

i think it is (b) What percent of the club members had watched only Naruto?

Step-by-step explanation:

what is an equivalence class?

Answers

This article is about equivalency in mathematics. For equivalency in music, see equivalence class (music).

Congruence is an example of an equivalence relation. The leftmost two triangles are congruent, while the third and fourth triangles are not congruent to any other triangle shown here. Thus, the first two triangles are in the same equivalence class, while the third and fourth triangles are each in their own equivalence class.

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

                              The information is from https://en.wikipedia.org/wiki/Equivalence_class

                         If it is wrong I am sorry

Can someone please help!!!

Answers

Answer:

its the 3rd one

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

No solutions.

Step-by-step explanation:

No solutions because these two lines are parallel.

You can tell by the slopes. Both slopes are equal -3.

The -2 and [tex]\frac{5}{8}[/tex] vertically shift the lines.

What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?

Answer is y=-1/2x-6
:)

Answers

Answer:

yo sorry I'm dum need points

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2

Answer: second one; 150mm^2

Read the sentences below. They are the first part of a summary of the article. Atoms are the building blocks of everything. They are too tiny to be seen. Atoms are made up of electrons, protons and neutrons. Which answer BEST completes the summary? A Each atom has a special number and element B Each atom has some oxygen and hydrogen. с Each atom has an atomic number of 1. D Each atom is made up of 100 elements.​

Answers

Answer:

A (i think)

Step-by-step explanation:

If i'm right please mark me branliest

Please help!!! I'm very confused! Im giving points for it but if please tell the truth <3

Answers

Answer:

A

Step-by-step explanation:

It actually trying to trick you with a double negative

Answer:

A

Step-by-step explanation:

Squares do have right angles, if they did not have to then all other ssquares with no right angles would be considered rhombuses.

The question is sking which does not apply, a does not apply but thats what theyre asking so its a

2.386 rounded to the nearest tenth

Answers

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

 

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

 

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

down the additive inverse of 4 by 7​

Answers

Answer:

[tex] \color{magenta} \huge{ \boxed{answer}}[/tex]

The additive inverse of 4/7 is -4/7.

hopefully help:)

Step-by-step explanation:

#CarryOnLearning

Please help me with mathematics.​

Answers

Answer:

1.A+B=2y²+3x-x²+3x²-y²=+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²

Can someone help quick please

Answers

Answer:

PC = 4 cm

Step-by-step explanation:

AP = 4 cm

Because AB = BC, PB = PB, and we know that angle PBA = 90 degrees: triangle PBA is congruent to triangle PBC by the Side-Angle-Side theorem.

PC = AP because corresponding parts of congruent triangles are congruent.

i need help lol with this problem pls help pls pls pls

Answers

Answer:

Step-by-step explanation:

For this triangle, since the angle is included between 2 given sides, the formula will be:

[tex]A =\frac{1}{2}ab*ac*sin(angleA)[/tex]

Putting values where they belong:

[tex]A=\frac{1}{2}(10)(12)sin72[/tex]

Do all that in your calculator (in degree mode, NOT radian!) to get

A = 57.1 square cm

Mario has 6 more marbles than Sandra. Let `s` represent the number of marbles that Sandra has. Write an expression that represents the number of marbles that Mario has.

Answers

Answer:

6+s

Step-by-step explanation:

six more marbles so add 6 to s

During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176

Answers

Answer:

C

Step-by-step explanation:

If Robert buys a candy bar for 78 cents, how much
change does he get back from a one-dollar bill?
32 cents
23 cents
22 cents
33 cents

Answers

The answer will be 22 cents
22 cents.

Explanation:
One dollar is 100 cents.
Your equation would be...
100 - 78 = 22 (your change)
Subtract the amount given by the total cost to get the change.

Before dividing, decompose 420 to make it easier to divide by 4.

Answers

Answer:

4/420=105

Step-by-step explanation:

decompose 42 and divide by 4 is 10 and is 20 divided by 4 is 5

A company makes fifty-six million, nine hundred two thousand, one hundred twenty six widgets each year. what is this number in stardard form?​

Answers

50,000,000+6,000,000+900,000+2,000+100+20+6

Felicia and gabriella are on the hamilton middle school basketball team. The box plots show the number of points they scored in 8 basketball games.

Answers

Answer:

I

Step-by-step explanation:

I need the box plot to do the problem

What is the sum of the largest and smallest recorded capacity?

Answers

3.5
the smallest recorded capacity is 1, and the largest is 2.5. the sun of these two are 3.5

Help please
look picture and match

Answers

Answer:

Rectangle= Choice four

Square= Choice three

Trapezoid= Choice one

Parallelogram= Choice two

Rhombus= Choice five

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

I think these are the correct answers. Hope this helps!

2+׳

What's the answer?​

Answers

Answer:

x^3+2

Step-by-step explanation:

Find the slope of line with the given points (- 6, 2)(3, 7)

Answers

Answer:

m = 5/9

Step-by-step explanation:

rise = 5

run = 9

m = rise/run

m = 5/9

Answer:

m = 5/9

Step-by-step explanation:

Use the slope formula to find the slope m.

[tex]m = \frac{5}{9}[/tex]

4) Let a represent "x is a multiple of 3".
Let b represent "x is odd".
When x is 36, which of the following is true?

Answers

Step-by-step explanation:

When x=36, only the first statement is true (x is a multiple of 3). this is because 12×3= 36

36 is not odd, making the other statement false

^^^^this is correct

Which equation has a slope: 3/2, y-intercept: –4

Answers

Answer:

The equation of the line that has a slope of 3/2 and a y-intercept of -4 is:

y=3/2x-4.

Step-by-step explanation:

You want to find the equation for a line that has a slope of 3/2 and a y-intercept of -4.  First of all, remember what the equation of a line is:

y = mx+b  Where:  m is the slope, and  b is the y-intercept

All you really have to do here is  replace m with 3/2, which is the slope you gave, and  replace b with -4, the y-intercept you gave,  in the equation y=mx+b.

-12(x - 3) - (2x - 6) = 60

Answers

Answer:

x=-9/7

Step-by-step explanation:

Answer:-12(x - 3) - (2x - 6) = 60

= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF

Step-by-step explanation:

EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN

Determine the slope of the line whose equation is 2x-3y=5

Answers

The slope would be 2/3 I hope this helps you out!
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