What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?

Answers

Answer 1

Answer:

The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

[tex]4x - 3y = 18[/tex]

[tex]3y = 4x - 18[/tex]

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

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

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

[tex]4m = -3[/tex]

[tex]m = -\frac{3}{4}[/tex]

So the desired line will have an equation in the following format:

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

Passes through the point (8,-8)

We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So

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

[tex]-8 = -\frac{3*8}{4} + b[/tex]

[tex]-8 = -6 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = -\frac{3x}{4} - 2[/tex]


Related Questions

Find the annual interest rate.
I = $40, P = $500, t = 16 months

Answers

58htrhewrwwehrsrhhehwwhACTIVIDAD 1 (FECHA: 01 – 12 ACTIVIDAD 1 (FECHA: 01 – 12 DE MARZO)

1)Completa las frases con las palabras de abajo:

valor interno – percepción – precio – producto – valor externo – PHVA - dinero – producto.

a) El ____________________ es la cantidad de _________________ determinada que se entrega a cambio de un

_______________ o de un servicio.

b) El valor de un ________________ o servicio depende directamente de la satisfacción o de la

__________________ de lo que dicho producto o servicio representa para quien lo compra.

c) El ________________________ es aquel que está asociado al producto o servicio en sí mismo sin importar la

percepción que se tenga de él.

d) El ______________________ se aplica a aquellas características de un producto o servicio, usualmente

asociada a atributos externos.

e) Planear, hacer, verificar, actuar, generalmente se conoce como los pasos del ciclo DEMING de

___________________.

DE MARZO)

1)Completa las frases con las palabras de abajo:

valor interno – percepción – precio – producto – valor externo – PHVA - dinero – producto.

a) El ____________________ es la cantidad de _________________ determinada que se entrega a cambio de un

_______________ o de un servicio.

b) El valor de un ________________ o servicio depende directamente de la satisfacción o de la

__________________ de lo que dicho producto o servicio representa para quien lo compra.

c) El ________________________ es aquel que está asociado al producto o servicio en sí mismo sin importar la

percepción que se tenga de él.

d) El ______________________ se aplica a aquellas características de un producto o servicio, usualmente

asociada a atributos externos.

e) Planear, hacer, verificar, actuar, generalmente se conoce como los pasos del ciclo DEMING de

___________________.

Help fast please.....

Answers

Answer:  294

7x7=49

49x6=294

27x + 343 = 0 what’s the imaginary or real solution

Answers

Answer:

-343/27

Step-by-step explanation:

The area of the triangle below is 3/25 square feet. What is the length of the base? Express your answer as a fraction in simplest form.
2/5 ft is the height

Answers

Answer:

b = 0.6 ft

Step-by-step explanation:

area = 3/25

area = 1/2bh

3/25 = 1/2b(2/5)

1/2b = (3/25)/(2/5) = 15/50 = 3/10 or 0.3

b = 2(0.3) = 0.6 ft

The length of the base as a fraction in the simplest form is 3/5 feet.

What is a Triangle?

Every three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its interior angles sum to 180 degrees. This characteristic is known as the triangle's angle sum property. Every triangle has a length, base and height.

As per the given data:

Area of the triangle (A) = (3/25) sq feet

Height of the triangle (h) = (2/5) feet

A = (1/2) × base × height

(3/25) = (1/2) × base × (2/5)

base = (3 × 2 × 5)/(25 × 2)

base = 15/25

base = 3/5 feet

Hence, the length of the base as a fraction in the simplest form is 3/5 feet.

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if 0 is between 0 and 90 and tan0=7/8 find cos0

Answers

Answer:

0.75

Step-by-step explanation:

o = atan ( 7/8 ) = 41.18

cos ( 41.18 ) = 0.75

Answer:

Step-by-step explanation:

Hh

PLEASE HELP MEEE
I will give a crown to the right answer

Answers

your answer is b. hope this helps!

I don't know answer to this problem?

Answers

There is no picture or context
If you put a picture or explain I could of maybe help you!!!

find the area of 12m and 8m​

Answers

Answer:

Hiya!!

12m * 8m = 96m

Step-by-step explanation:

SOMEONE PLZ ANSWER THIS FAST

Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?

Answers

Answer:

9.8  miles

Step-by-step explanation:

14/5= 2.8mph

2.8*3.5= 9.8 miles in 3.5 hours

please help me please

Answers

Answer:

the answer is x=10

Step-by-step explanation:

can i have brainliest

The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital status, and education, there were
312 professionals,
470 married persons,
525 college graduates,
42 professional college graduates,
147 married college graduates,
86 married professionals,
25 married professional college graduates.
(i) Let a person be picked at random. Determine the probability that the person is married or professional or college graduate.
(ii) Explain why the numbers reported in the study must be incorrect.

Answers

Answer:

[tex](a)[/tex]  [tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) See Explanation

Step-by-step explanation:

Given

[tex]P = 312[/tex] ---- Professionals,

[tex]M = 470[/tex] ----- Married persons,

[tex]C = 525[/tex] ---- College graduates,

[tex]PCG = 42[/tex]  ----- Professional college graduates,

[tex]MCG = 147[/tex] ----- Married college graduates,

[tex]MP = 86[/tex]  ---- Married professionals,

[tex]MPCG = 25[/tex] ---- Married professional college graduates

[tex]Total =1000[/tex]

Solving (a): P(M or P or C)

This is calculated as:

[tex]P(M\ or\ P\ or\ C) = P(M) + P(P) + P(C)[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{n(M) + n(P) + n(C)}{Total}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{470 + 525 + 312}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = \frac{1307}{1000}[/tex]

[tex]P(M\ or\ P\ or\ C) = 1.307[/tex]

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

If Mike can mow 1/2 a yard in 5/6 of an hour then how many yards can Mike mow in 1 hour?

Answers

1/2 yard. 5/6 hr
x yards. 1hr
x=1/2 divided by 5/6
x=1/2•6/5
x=6/10
x=3/5 of a yard

True or False: 53 = 15

Answers

Answer:

false

Step-by-step explanation:

53 doesn't have the same value as 15. sorry if this is wrong or not helpful.


Which describes the cost to produce one item?
A. Benefit
B. Unit price
C. Fixed cost
D. Unit cost

Answers

the answer is either B or D

Unit cost describes the cost to produce one item.

What is Cost?

A cost is the value of money that has been used up to produce something or deliver a service

The unit cost is the cost associated with producing a single unit of a product or service.

It includes the direct and indirect costs of producing one item.

Direct costs can include the cost of raw materials, labor, and any other direct cost involved in the production of the item.

Indirect costs can include expenses like rent, utilities, equipment, and any other cost that is not directly associated with the production of a single unit, but is still necessary for the production process.

Hence, Unit cost describes the cost to produce one item.

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Evelyn is making bows from blue and white ribbon. She uses 6 in. of blue ribbon
for every 9 in. of white ribbon. Evelyn has 82 in, of blue ribbon and 114 in. of white
ribbon. Which color of ribbon will she run out of first? Explain.

Answers

Answer:

White

Step-by-step explanation:

W: 114/9 ≈ 12.67 9-inch ribbons

12.67(6) = 76 < 82

Evelyn will run out of white ribbon first as she can use it for 12 times compared to 13 times.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  She uses 6 in. of blue ribbon and has a total of 82 inches,

So, The number of times she can use is,

= (82/6) times.

= 13.66 times.

Similarly, The number of times she can use the white ribbon is,

= (114/9) times.

= 12.66 times.

Therefore, She will run out of white ribbons first.

learn more about numerical expressions here :

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PLEASE HELP!!!50 POINTS!!GIVING BRAINIEST!!!Noah is helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1.50.
boxes sold (b) money collected (m)
1 $ ?
2 $ ?
3 $ ?
4 $ ?
5 $ ?
6 $ ?
7 $ ?
8 $ ?
b. Write an equation for the amount of money, m, that will be collected if b boxes of chocolate bars are sold.

c. What is the independent variable? (m or b?) What is the dependent variable?(m or b?)

d. Write an equation for the number of boxes, b, that were sold if m dollars were collected. (use / to show division)

e. What is the independent variable?(m or b?)
What is the dependent variable? (m or b?)

Answers

i might have read this problem wrong since i didnt get a clear understanding because of the wording of this problem but i will do the best i can!

step-by-step explanation:

first step is to make a table! and ill just make one on here so you can get a better understanding on this problem :)

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

| boxes sold (b) | money collected (m) |

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

|    1    |          1.50           |

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

|    2    |          3           |

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

|    3    |          4.50            |

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

|    4    |          6           |

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

|   5    |          7.50           |

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

|   6    |          9           |

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

|   7    |          10.50           |

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

|   8    |          12           |

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

(b * 1.50) = m

the independent variable = boxes sold (b)

the dependent variable = money collected (m)

hope this helps you and please tell me if i did something wrong or if you need extra help understanding this problem! :)

The dimensions of a rectangular pool table are: (x + 4)(x + 10), What is the area of the table?

Answers

Answer:

D. x^2 +14x + 40

Step-by-step explanation:

(x+4)(x+10)

x^2+10x+4x+40

x^2+14x+40

Answer:

d) x^2+14x+40

Step-by-step explanation:

You gotta multiply (x + 4)(x + 10)

What are the coordinate points of Y

Answers

Answer:

(140, 200)

Step-by-step explanation:

The coordinate points are (140, 200), the x axis is over 140 and the y axis is up 200.

Select the correct answer.
Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?
OA. f(x) = -4(x2 - 4)
OB. h() = -4(x - 2)(x + 2)
Och(x) = -47 +16
OD. H(x) = -2(2x - 3)

Answers

Answer:

Step-by-step explanation:

h(x) = -4(x-2)(x+2)

The zeros are 2 and -2.

Answer:

90

Step-by-step explanation:

OA. f(x) = -4(x2 - 4)

OB. h() = -4(x - 2)(x + 2)

Och(x) = -47 +16

OD. H(x) = -2(2x - 3)

Pls help this is due today ! Find the value x:

Answers

Answer:

x= 12

Step-by-step explanation:

180° = (3x - 6) + (8x + 4) + 50°  because all interior angles of a triangle add up to 180°

180° = 11x +48°

11x = 132°

x = 12

the equivalent expression of (7+r)3

Answers

Answer:

21 + 3r

Step-by-step explanation:

(7 + r) 3 =

(7) x 3 + (r x 3) =

21 + 3r

Hope that helps!

Choose the approximate value for eggs for the following similar triangles given below

Answers

i’m pretty it’s 25. hope this is right

The hypotenuse is NOT:

Answers

Answer:

NOT found in obtuse triangles

Step-by-step explanation:

you only talk about hypotenuse, adjacent, and opposite in right triangle

6 3/4 divided by 2 5/8 in the simplest form?​

Answers

Answer:

6 6/8

2 5/8

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

2.57142857143

or 2 57/100

Step-by-step explanation:

sorry if this is wrong

Answer:

there hope this helps I tried

Plot the zeros of this function:

f(x) = (x – 1)(x – 7).

Drawing Tools
Click on a tool to begin drawing.

Answers

The zeros are 1 and 7

True or False:
There are an infinite number of answers for this equation:
63 - X = 34

Answers

Answer: No, the answer is 29, this is false.

Step-by-step explanation: 63-x=34

subtract 63 from both sides

34-63= -29

-x=-29

divide both sides by the negative and you get 29

plug in 29 for x, 63-29=34

The answer is 29 an is false

Find the GCF of each pair of monomials.

1. 20, 45x

2. 15r, 25

3. 8xy, 14x

4. 16mn, 24m

5. 25f, 60g

6. 33c, 55cd​​

Answers

1. 5
2. 5
3. 2x
4. 8m
5. 5
6. 11c

anybody know how to do these? i need help pls contact me

Answers

the awnser is 1!!!!! good luck!

Answer:

your answer is 1 hope it's helps you

Kelly flies a distance of 2,100 miles. the trip takes 4 2/3 hours
what is the airplanes unit rate of speed in miles per hour?

at this rate of speed, how many miles the airplane travel in 1 1/2 hours?

Answers

Answer: A=450

Step-by-step explanation:

Solve the two step equation
5x-11=34
Show your work

Answers

Answer:

x = 9

Step-by-step explanation:

5x-11=34       (Add 11 both sides)

5x = 34 + 11  (Add all to 34)

5x = 45        (Divide by 5 on both sides)

x = 9

Answer:

×=9

Step-by-step explanation:

5x-11=34

5x=34+11

5x=45

x=9

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