(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

Can someone help me please

Answers

Answer:

52.7%

Step-by-step explanation:

If I am correct it means to round the percentage, so it would be 58% if you are rounding it

98546 dividido para
46

Answers

Answer:

2142.30435

Step-by-step explanation:

The answer is 2142 and leaves remainder

find the slope from the pair of the points
(-3,-4) (1,5)

Answers

Answer:

2.25

Step-by-step explanation:

m = 9 / 4 = 2.25

points belong to an increasing, linear function.

Equation: y = 2.25x + 2.75.

BRAINLIEST?

PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. What are the zeros of this function?

Answers

Answer: C. x = 4 and x = 6

Step-by-step explanation:

Zeros of a function would be the value of x when f(x) is 0.

Based on the given graph, the parabola has 2 locations where the y-value is 0 and the graph hits the x-axis.

The graph hits the x-axis at 4 and at 6.

Answer:

I dont but want to.

Hope this helps! :) ;-;

Step-by-step explanation:

What is the equation for the line in slope-intercept form?

Answers

Y=-8/2x+5
Hgfxdffggggujjcfccchhjbvg

What is 1/3÷1/2 math answers?

Answers

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Could I get help…………

Answers

Answer:

B

Step-by-step explanation:

HOPE IT HELPS <3

MARK as brainliest

Will give brainliest if helpful and correct

Answers

Answer:

(-2, -1.5)

Step-by-step explanation:

hope this helps!

How many times two odd digits appear in a number when you count from 0 to 999?

Answers

hi
It’s......
500
There r 500 odd no between 0-999
This might help u
Byeee

The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

Explanation:

Here, we want to know the number of times the digit occurs

We can solve this with arithemetic progression

The first term here is 105, while the last term is 995

However, the difference between each occurrence is 10

Thus, applying the formula:

T_n = a + (n-1) d

T_n is the last term which is 995

a is the first term which is 105

d is the common difference which is 10

n is the number of terms which we want to calculate

Substituting these values, we have it that:

995 = 105 + (n-1) 10

so, we get,

n = 900/10

  =90

Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

To lean more on Arithmetic progression click:

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complete question:

How many times does the digit 5 occur in all the numbers from 100-999 ?

a simple random sample of 60 items resulted in a sample mean of 80.

Answers

Answer:

(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.

Step-by-step explanation:

A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?

Answers

Answer:

(6p7q)²

Step-by-step explanation:

you have to square the length to find the area of a square

The area of the bedroom would be (6p7q)² square units.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A bedroom is in the shape of a square. The length of the room is 6p7q.

According to the given question, we can write the dimension as:

The width of the room = 6p7q units

The length of the room = 6p7q units

The area of the room = width of the room ×  length of the room

The area of the room = 6p7q × 6p7q

Apply the multiplication operation,

The area of the room = (6p7q)² square units

Therefore, the area of the room is (6p7q)² square units.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

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a 25 -ft ladder rests against the side of a house. the distance between the top of the lader and the ground is 17 ft more than the distance between the base od the ladder and the bottom of the house. find both distances. ​

Answers

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

A) y = 5x

B) y = 10x

C) y = 7.5x

D) y = 30x​

Answers

Y=30x is the answer to this

If 1,600 divided by n = 4, what is the value of n?
A 40
B 400
C4,000
D40,000

Answers

Answer:

B) 400

Step-by-step explanation:

To find the value of n, you would have to divide 1600 by 4. 1600/4=400.

Answer:

400

Step-by-step explanation:

1600 4

Help pls I have no clue what this is

Answers

Answer:

  b = 76°

Step-by-step explanation:

Angle JIK is the smaller acute angle in one of four congruent right triangles. Angle GHK is the larger acute angle in those triangles, marked as 60°. The sum of the acute angles in a right triangle is 90°, so you have ...

  60° +(b-46)° = 90°

  14° +b = 90° . . . . . . . simplify

  b = 76° . . . . . . . subtract 14°

Find the product. Simplify your answer.
(3p–2)(4p–1)

Answers

there you go the answer is in the picture

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Answer:

30 and 35

Step-by-step explanation:

Put this question into equation form:

Let x be the smaller number, if the larger number is 5 more and the total is 65:

x + 5 + x = 65

2x + 5 = 65

Subtract 5 from both sides

2x + 5 - 5 = 65 - 5

2x = 60

Divide both sides by 2:

2x ÷ 2 = 60 ÷ 2

x = 30

As the larger number is 5 bigger:

30 + 5 = 35

So the two numbers are 30 and 35.

Hope this helps!

Answer:

Small number 30

Large Number 35

Step-by-step explanation:

The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:

x + y = 65

The difference between x and y is 5. In other words, x minus y equals 5 and can be written as equation B:

x - y = 5

Now solve equation B for x to get the revised equation B:

x - y = 5

x = 5 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 65

5 + y + y = 65

5 + 2y = 65

2y = 60

y = 30

Now we know y is 30. Which means that we can substitute y for 30 in equation A and solve for x:

x + y = 65

x + 30 = 65

X = 35

Therefore the large and small number us 35 and 30 respectively.

After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?

Answers

x = the whole pie.

well, Don ate (1/8)x, how much was it left?  [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]

well, so that's the remainder.

Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]

well, how much is it left?  [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]

well, there are 5 friends how much did each one get from the whole pie?

[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]

What is negative 10 divided by .22

Answers

Answer:

That would be negative 45 or - 45

Please correct me if im wrong

Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?

Answers

28 units i think. Since they are similar

arrange the given the decimals in ascending order from least to greatest ​

Answers

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluation is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes.
274 347 283 307 327 314
303 285 280 391 359 325
Interpret the confidence interval estimate.
a. Based on the sample data, with 90% confidence, the ISP can conclude that the sample mean daily usage time is between _____ minute(s) and _____ minute(s).
b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between _____ minute(s) and _____ minute(s).
c. Based on the sample data, the ISP can conclude that 90% of daily usage times are between _____ minute(s) and _____ minute(s).

Answers

Using the t-distribution, it is found that the correct interpretation is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

We can find the standard deviation for the sample, which is why the t-distribution is used to solve this question.

We are given a   sample size of [tex]n = 64[/tex].

Using a calculator, we find that:

The sample mean is [tex]\overline{x} = 316.25[/tex]The sample standard deviation is [tex]s = 35.68[/tex]

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 12 - 1 = 11 df, is t = 1.7959.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 316.25 - 1.7959\frac{35.68}{\sqrt{12}} = 297.75[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 316.25 + 1.7959\frac{35.68}{\sqrt{12}} = 334.75[/tex]

From the confidence interval, we can infer about the population mean, hence, the correct option is:

b. Based on the sample data, with 90% confidence, the ISP can conclude that the true population mean daily usage time is between 297.75 minute(s) and 334.75 minute(s).

A similar problem is given at https://brainly.com/question/15180581

What is the meaning of algebra and expressions

Answers

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio

Answer:

Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.

Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.  

Examples:

• 2 + 3 is an expression

• 3 − x/2 is also an expression

Which expression represents 81 decreased by an unknown number?


81÷a

81a

81−a

81 + a

Answers

Answer:

81 - a

Step-by-step explanation:

Decreased

means to subtract

81 –

by an unknown number

means a variable such as a or x

therefor

81 – a

What is .7899 rounded 4 decimal places

Answers

.7899 rounded is .79. But in you want to convert/round it all the way it’s 1. But .79 makes more sense. Or .8. Which ever one works!!


Hope this helped. :)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Fertilizer puts nitrogen into the soil, so using fertilizer puts more nitrogen into the carbon cycle.

When you use fertilizer, its because a certain plant you are planting uses all the nitrogen in the soil, so it won't grow next time. Too much fertilizer, though, would burn up your plant (not literally). Some plants put their own nitrogen into the soil. I can't think of one off the top of my head, but I believe potatoes do. Anyways, this is where crop rotation came into play.

Things like corn take a lot of nitrogen, so the next time you had to plant whatever plant potatoes, which again may be wrong, in order to get nitrogen for the corn to grow next season. Today we have fertilizer, so we can give them nitrogen while they grow, instead of putting in other plants, taking more time.

So really, it doesn't do much, because your plant takes all the nitrogen that the Fertilizer adds.

Answer:

People have been converting atmospheric nitrogen into nitrogen fertilizers and then applying the fertilizers to plants in to grow more crops. This has previously been quite effective, allowing individuals to farm on previously unproductive lands, and provide adequate food for expanding populations of people. Unfortunately, fertilizers are frequently overused, which can lead to issues.

Nitrogen from fertilizers excretes into soils, typically promoting the growth of weeds rather than native vegetation. Nitrogen then washes into streams, resulting in a nutrient overload, a phenomenon known as eutrophication.

Eutrophication causes aquatic weeds to proliferate excessively in freshwater lakes. These aquatic weeds  occasionally occupy entire lakes, streams, or rivers. Green algae cloud the water, and gooey algal slime covers the shallow rocks. 

When nitrogen-rich waters flow down into the ocean, they worsen the situation. High nitrogen concentrations in the Mississippi River Delta have generated a 'dead zone' where the water flows into the Gulf of Mexico. This has occurred every summer for over 30 years. In 2001, this dead zone, where oxygen levels are too low for species to thrive, encompassed over 8000 square miles of water. It occurs when nitrogen in the water enables algae to quickly grow out of control.

Step-by-step explanation:

Great article to look at for more information -

https://www.nytimes.com/2017/07/27/climate/nitrogen-fertilizers-climate-change-pollution-waterways-global-warming.html

negative seven times a number is negative two hundred forty five. what is the number?



pleasee i need help

Answers

Answer:

35

Step-by-step explanation:

since i couldn't answer before

How to solve this question? Adding algebraic fractions

Answers

Answer:

it should be 2/12 and 9/11

Step-by-step explanation:

How many numbers are prime between 40 and 50?

Answers

Step-by-step explanation:

Correct answer:

(The primes between 40 and 50 are 41, 43, and 47 - three.

I need help! Does anyone understand?

Answers

Answer:

the answer should be G or H

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