(a) Write an equation of the line that passes through the point and is parallel to the given line.




(b) Write an equation of the line that passes through the point and is perpendicular to the given line.

(a) Write An Equation Of The Line That Passes Through The Point And Is Parallel To The Given Line.(b)

Answers

Answer 1

9514 1404 393

Answer:

parallel: y = x -1perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the  y-axis at y = -1. Then the slope-intercept equation is ...

  y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

  y = -x -3 . . . . . equation of perpendicular line

(a) Write An Equation Of The Line That Passes Through The Point And Is Parallel To The Given Line.(b)
Answer 2

9514 1404 393

Answer:

parallel: y = x -1

perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...

 y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

 y = -x -3 . . . . . equation of perpendicular line


Related Questions

Ali has q quarters. Tom has four more quarters than Ali.



Drag and drop the expressions into the boxes to write an expression that represents the number of quarters Ali and Tom have together.

Response area + Response area

Answers

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

Triangle ABC is similar to triangle DEF.

Side AB is the longest side of ABC. It measures 12 centimeters.

Side DE is the longest side of DEF. It measures 8 centimeters.

What is the scale factor that takes triangle ABC to triangle DEF?

Answers

Answer:

1.5

Step-by-step explanation:

12 / 8 = 1.5

A color printer prints 5 pages in 9 minutes.
How many minutes does it take per page?

PLS HELPPPPPP

Answers

Answer: 1.8

Step-by-step explanation: Divide 9/5

What is the net pay for these details?
$764 gross pay
Federal withholding $128
FICA $41.87
State $45.15
Health $19.25
A. $529.73
B. $568.23
C. $658.53
D. $703.77​

Answers

Answer:

Its a

Step-by-step explanation:

Can someone help me please

Answers

Answer:

40 students earned a B on this paper.

40%×80=32 people who chose action as their fav.

2. Twenty machines can embroider 1000 sweaters in 5 days.
a. In how many days can 10 machines embroider the same 2000 sweaters?
b. How many machines would needed to embroider 5000 sweaters in 10 days?

Answers

Answer:

a) 20 days

b) 50 machines

Find the volume of a square based pyramid with a base length of 8 m and a height of 14 m.

Answers

[tex]V = \frac{1}{3} \times base \: area \: \times height \\ [/tex]

[tex]V = \frac{1}{3} \times {8}^{2} \times 14 \\ [/tex]

[tex]V = \frac{1}{3} \times 64 \times 14 \\ [/tex]

[tex]V = \frac{896}{3} \: \: \: {m}^{3} \\ [/tex]

1. Andrea’s car has broken down for the third time this month, and she has decided to buy a different car. Her dream car, a 2016 Chevrolet Camaro, costs $38,000. She has a $4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars.

a. How much will Andrea need to borrow to buy the Camaro?

b. What would Andrea need to type in Excel to figure her monthly payment, and what will her monthly payment be?

c. What will the total of all of Andrea’s payments be over the lifetime of the car loan?

d. How much will Andrea pay in interest over the lifetime of the car loan?

Answers

A) Andrea will need to borrow $34,000 to buy the Camaro

B) Andrea will need to type =(34000x1.03 ^ 5) / 60 in Excel to figure her monthly payment, which will be $656,92.

C) The total of all of Andrea’s payments be over the lifetime of the car loan will be $39.415,31

D) Andrea will pay $5415.31 in interest over the lifetime of the car loan

Since Andrea's car has broken down for the third time this month, and she has decided to buy a different car, and her dream car, a 2016 Chevrolet Camaro, costs $ 38,000, and she has a $ 4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars, to determine A) how much will Andrea need to borrow to buy the Camaro; B) what would Andrea need to type in Excel to figure her monthly payment from her, and what will her her monthly payment be from her; C) what will the total of all of Andrea’s payments be over the lifetime of the car loan; and D) how much will Andrea pay in interest over the lifetime of the car loan, the following calculations must be performed:

A) 38000 - 4000 = X 34000 = X

B) = (34000x1.03 ^ 5) / 6039.415,31 / 60656,92

C) 34000 x 1.03^5 = X34000 x 1.1592 = X39.415,31 = X

D) (34000 x 1.03^5) - 34000 = X(34000 x 1.1592) - 34000 = X39415.31 - 34000 = X5415.31 = X

Learn more in https://brainly.com/question/14295570

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.

Answers

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅

Help help help help help help

Answers

Answer:

70.2

Step-by-step explanation:

28.08 / 0.4 = 70.2

rlly quick what's the answer to this?

Answers

Answer:

4, which is A

Step-by-step explanation:

Answer:

first we divide 256 divided by 16 =

16

then we square root it to get

4(a)

Hope This Helps!!!

A breakfast cereal producer makes its most popular product by combining just raisins and flakes in each box of cereal. The amounts of flakes in the boxes of this cereal are normally distributed with a mean of 370\,\text{g}370g370, start text, g, end text and a standard deviation of 24\,\text{g}24g24, start text, g, end text. The amounts of raisins are also normally distributed with a mean of 170\,\text{g}170g170, start text, g, end text and a standard deviation of 7\,\text{g}7g7, start text, g, end text.
Let T=T=T, equals the total amount of product in a randomly selected box, and assume that the amounts of flakes and raisins are independent of each other.
Find the probability that the total amount of product is less than 575\,\text{g}575g575, start text, g, end text.
You may round your answer to two decimal places.
P(T<575)\approx

Answers

Using the normal distribution, it is found that there is a 0.9192 = 91.92% probability that the total amount of product is less than 575 g.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.When two normal variables are added, the mean is the sum of the means while the standard deviation is the square root of the sum of the variances.

In this problem, the product is composed by flakes and raisins, and we have that:

[tex]\mu_F = 370, \sigma_F = 24, \mu_R = 170, \sigma_R = 7[/tex]

Hence, the distribution for the total amount of product has mean and standard deviation given by:

[tex]\mu = \mu_F + \mu_R = 370 + 170 = 540[/tex]

[tex]\sigma = \sqrt{\sigma_F^2 + \sigma_R^2} = \sqrt{24^2 + 7^2} = 25[/tex]

The probability that the total amount of product is less than 575 g is the p-value of Z when X = 575, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{575 - 540}{25}[/tex]

[tex]Z = 1.4[/tex]

[tex]Z = 1.4[/tex] has a p-value of 0.9192.

0.9192 = 91.92% probability that the total amount of product is less than 575 g.

A similar problem is given at https://brainly.com/question/22934264

Solve for x: -2x - 4> 8
X<-6
X> -6
0x<-2
X>-2

Answers

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

pls help me!!!!!!!!!!!!!!!!

Answers

Answer:

4 for the first one, 1 for the second one

Step-by-step explanation:

jay has a rare baseball card collection. he currently owns 10 baseball cards. each month, he purchases a new card for his collection. write a model to represent the number of cards in jays collection after n months

Answers

Answer:

y=n+10

explanation

he adds a new baseball card every month and he starts off with 10

say its been 3 months since he started

3(months)+10 (that he already had)

he now has 13 cards.

how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

it will be 36

Step-by-step explanation:

fgdsb b zgffhxgv

Make g the subject of the formula r = 4g +7​

Answers

Answer:

4 better explanation inbox

Step-by-step explanation:

A 5 ounce container of greek yogurt contains 140 calories . Find the unit rate of calories per ounce

Answers

28 calories an ounce.

PLEASE HELP!!
Guys please help i need this

Answers

Answer:

Because they are both base angles of isosceles triangles

Ben left town a at 22:25 and arrived at Stone b at 2:40 the next morning how long did is Journey take​

Answers

Answer: The journey took 4 hours and 15 minutes.

Write 34% as a fraction in simplest form

Answers

Answer:

The answer is that the simplest fraction form of 34% is 17/50

Step-by-step explanation:

Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.

34% = 17/50

Have an awesome day! :D

Answer:

[tex]\frac{17}{50}[/tex]

Step-by-step explanation:

To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as [tex]\frac{34}{100}[/tex].

Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.

[tex]\frac{34}{100}[/tex] = [tex]\frac{17*2}{50*2}[/tex]= [tex]\frac{17}{50}[/tex]

Find the value for x.

Answers

Answer:

x = 21

Step-by-step explanation:

5x - 12 = 3x + 30

5x - 3x = 30 + 12

2x = 42

x = 21

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

check

5 * 21 - 12 = 3 * 21 + 30

93 = 93

the answer is good

PLEASE HELP PLEASEEE

Answers

Answer:

pointts Step-by-step explanation:

u

Answer:

d

Step-by-step explanation:

how many times does 32 go into 7500​

Answers

Answer:

yy

Step-by-step explanation:

Answer:

234.375

Step-by-step explanation:

divide 7500 by 32, and you'll get the number of times 32 goes into 7500.

7500 ÷ 32 = 234.375

and if the question is asking for whole numbers it would be just 234 times (and a 3/8)

A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?

Answers

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

learn more: https://brainly.com/question/12855949?referrer=searchResults

Marie bought some albums and picture frames as gifts for a party. Each album cost 18$ and each picture frame cost 3$ less. the ratio of picture frames to albums was 4:3 she paid a total of 1026 for all albums and picture frames

Answers

Answer:

36:27

Step-by-step explanation:

18 - 3 = 15$ for each picture frame

15$ (picture frames) : 18$ (albums)

4 picture frames : 3 albums = 114$

1026 divided by 114 = 9

4x9 = 36 picture frames

3x9 = 27 albums

36:27

Answer:

Marie bought 36 frames and 27 albums

Step-by-step explanation:

So is an album is $18 and a picture frame is $3 less that would make picture frames $15. Now if the ratio of picture frames to albums was 4:3 and she paid a total of $1026 for all, the equation would look like this:

15f + 18a = 1026

Now add in the ratio

(15 + 15 + 15 + 15 + 18 + 18 + 18)x = 1026

114x = 1026

x = 9

Now this means the ratio fit 9 times into the end number

Picture Frames: 4 x 9 = 36

Albums: 3 x 9 = 27

And to check we plug back in

15(36) + 18(27) = 1026

540 + 486 = 1026

1026 = 1026

A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?​

Answers

It would cost $38.88 for three dozen cookies
$38.88 is definitely the answer facts I had that problem too myself

Peter Morris wants to verify the amount
deposited to his savings account. His new balance is $729.49,
his previous balance was $680.50, interest earned on his
account was $3.25, and withdrawals totaled $222.06. Find the
amount deposited to his savings account.

Answers

Answer:324.24??? Not sure just a guess.

Step-by-step explanation:

the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal​

Answers

Answer:

A is the cheapest deal.

Step-by-step explanation:

find unit rate; cost / quantity

20.20 / 10 = $2.02 per gallon

26.04 / 12 = $2.17 per gallon

28.24 / 24 = $2.01 per gallon

30.45 / 25 = $2.03 per gallon

1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin

Answers

Answer:

Second is the correct answer but i think all are correct

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