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

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

Answers

Answer 1

Answer:

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Step-by-step explanation:

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

First we will find slope of the line given in graph

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have points (1,6) and (2,2)

Slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]

Part a)

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

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]

The equation of line will be:

[tex]y=mx+b\\y=-2x+11[/tex]

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Part b)

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

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]

The equation of line will be:

[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]


Related Questions

if x is 18 when y is 6 find y when x is 21

Answers

Answer:

y = 7, when x = 21

Step-by-step explanation:

Since 6 is 1/3 of 18 we could use that to find y

1/3 x 21 = 7

Find the slope of the line that passes through (9,4) and (4,11)

Answers

-7/5

hope this helps

what is the square root of 72x as a power of 6 / x squared​

Answers

Answer is : 6 √ 72 x 2 Rewrite  72 x2 as  ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.

6 ( 6 x √ 2 ) Multiply  6 by  6 . 36 x √ 2

thank  me later

Which of the following pairs are NOT equivalent statements?

In x = y and x = e^y

log⬇️p N = b and b^p = N

x = sqrt y and x = y^1/2

log⬇️b N = p and B^p = N

Answers

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ2

Chrystelle's mother is 1 2/3ft taller than Chrystelle. If
Chrystelle is 3 1/2 ft tall, how tall is her mother?

Answers

Answer:

4 5/6 feet.

Step-by-step explanation:

The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.

3 3/6 + 1 4/6= ?

(Written as an Improper fraction)

21/6 + 10/6 = 31/6

31/6 = 4 5/6.

I hope this helps!

Answer:

first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so

Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6

chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6

now just add to figure out so

3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6

so chrystelles mom is 5 1/6 feet tall

Please answer number 14
I already tried but don’t understand

Answers

Answer:[tex] < abc = < ebc \\ < acb = < ecd \\ if \: two \: angles \: in \: the \:two \: different \: triangles \: are \: equal \: then \: the \: third \: angle \: in \: the \: triangle\: must \: be \: equal. \\ using \: pythogres \: theorum \\ ab = \sqrt( ac ^{2} - bc^{2} )\\ = \sqrt (15 ^{2} - 12 ^{2}) \\ = \sqrt( 225 - 144 )\\ = \sqrt(81) \\ ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\ ac \div ec = dc \div bc \\ 15 \div x = 12 \div 6\\ x = 15 \times 6\div 12\\ x = 15 \div 2 \\ x = 7.5 \\ so \: ec \: = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this \: helps[/tex]

How do you solve 4x^2 + 44x + 96 step by step?​

Answers

Answer:

60x+96

Step-by-step explanation:

4x^2= 16x

16x+44x+96

60x+96

ur welcome lol

how can you round 0.234 to the nearest hundredth?

Answers

Answer:

0.23 or 0.230

Step-by-step explanation:

You can round it by looking at the hundredths place.

Look to the thousandths place, if its 5 or more, you round up, if its 4 or less you round down.

Answer:

the way that you do this is

Step-by-step explanation:

so the number goes from 0 as in the whole number and then the decimal indicates that the whole number getting separated by a whole bunch of other numbers which go by smaller factors they go from ten hundred thousand and so forth so for this equation you have 0.234 the hundreds is the three the reason why is because the two is the tenths and the four is the thousands the reason why it's the thousands is because there's four numbers in the entire number.  so that number (0.234) would be 0.23 rounded to the nearest hundreth because the 4 is less than 5 which makes the number go lower.    If it was 0.238 then the answer would now be 0.24 because it's higher then 5.  please give me brainliest.  

OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for MEDICARE TAX for this pay period was $
Blank.

Answers

tax is 204 with shipping

Help please will give brainliesy

Answers

Answer:

You will select both x = 1 + 5sqrt(2) and x = 1 - 5sqrt(2)

Step-by-step explanation:

Firstly you have to take the square root of both sides to get rid of the exponent. (x - 1)^2 = 50 becomes x - 1 = +- sqrt(50)

Then you simplify the right. x - 1 = +- 5sqrt(2)

The answer is both the positive and negative versions.

QUICK WRITE A SHORT FICTION SOTRY 10 SENTENCES LONG IT CAN BE ABOUT ANYTHING

Answers

Answer:

One day Bob asked him mom if she could buy him a Ps5. She replied "No Bob, if you really want it you have to buy it yourself. And don't you already have that PlayStation 2 your grandma gave you?" After Bob heard that he ran out of the house to go find a job. He ran up to Mc Donald's and saw that they don't hire 15 year old's. Sadly he walked away. Then he ran up to Burger King they don't hire 15 year old's either. Then h realized he could deliver newspaper on his bike. So he went home told his mom and she was happy when he told her his idea.  The next morning he set out to his new job. As he got there he realized he didn't eat breakfast but that was fine he wasn't hungry he was to happy to think about anything else but that new Ps5. He got the newspapers and started going. After he delivered 27 newspapers it started getting dark so he went home. The next day went just like the first but he actually ate breakfast. Weeks went by throwing newspapers cycling, throwing newspapers cycling, throwing newspapers cycling. After 3 months he got his paycheck, just enough for the Ps5! Happily he went to the bank cashed it out and biked to target. He parked his bike ran into target into the electronics aisle scanning for the new Ps5.  Then the worker asked him politely "What are you looking for?" "A Ps5." He responded quickly. "Oh.." The worker said "Were sold out..."

Step-by-step explanation:

     May I have brainiest pls I'm trying to level up!

                               </3 PureBeauty

Help me with this thing thanks anoarefi

Answers

Answer:

1. 8

2. 16

Step-by-step explanation:

8/4=2

64/4=16

Answer:

The answers are

1. x=8

2. x=16

Find the point slope form for the line with slope 1/5 and paying through the point -8,-5find the point slope form for the line with slope 1/5 and paying through the point -8,-5

Answers

Y=1/5x- 17/5
Plug in numbers and solve

1 2 ÷ 3 2 1 ​ ÷3 need help lol

Answers

Answer:

0.012461059

Step-by-step explanation:

Answer:

g00gle says 0.01246105919

Step-by-step explanation:

Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.

∠1≅∠B

∠1≅∠C

m∠1+m∠BAC+m∠2=180°

m∠BAC+m∠C+m∠2=180°

∠2≅∠A

Answers

not sure but i thibj the second one

please solve the given equation ​

Answers

Answer:

noooooooooooooo to show and see

Ummmmm no thank youu

Suppose M(3-1) is the midpoint and B has coordinates (1,4). What are the coordinates of A?​

Answers

M (7,9) is the answer

Can the remainder be greater than the quotient?

Answers

Yes and no it depends

but it is possible

Answer:

Yes

Step-by-step explanation:

Yes, the quotient is the answer to a division question. An example of this is 5/3. The quotient is 1 and the remainder is 2. If it replaced quotient with divisor, then the answer would be no.

Order from least to greatest 7.003, 7.00301, 7.00294, 7.00289 →

Answers

Answer:

7.003 7.00289 7.00294 and 7.00301 I think this is correct good luck so sorry if it is not

Step-by-step explanation:

Tina has 10 packages of yarn to knit a scarf. She uses ⅓ package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?

Answers

Answer: 30

Step-by-step explanation:

From the question, we are informed that Tina has 10 packages of yarn to knit a scarf and that he uses ⅓ package of yarn for each inch of length she adds to the scarf.

Since she used all the yarn, the length of the cloth would be:

= 10 ÷ 1/3

= 10 × 3

= 30 inch

pls help!!
what would the answer be when rounded to one significant figure.​

Answers

2.3^2+4.1^2= 22.1
That should be right my bad if it’s not

Can someone help with this please

Answers

Answer:

no solution

Step-by-step explanation:

because the x values got cut out, there's no solution

no solution is the answer

?????????????????????????????

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Convert 30% into a fraction and shade the circle according to the result.

Answers

Answer:

3/10 shade 3 in

Step-by-step explanation:

The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x

Answers

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8

Plssssssssss help????????

Answers

Step-by-step explanation: Since the equation of this line is written in

slope-intercept or y = mx + b form, its slope or m is represented by the

coefficient of the x term which in this case is 8/5.

It's y-intercept or b is represented by

the constant term which in this is -5.

To graph the line, start with the y-intercept of -5.

So go down 3 units on the y-axis, plot a point at (0, -3).

From there, take your slope of 8/5, so rise 8 units

and run 5 units the right which should leave you at (5, 3).

Graph the line through those points.

Lincoln constructs a triangle with one side 5 inches long and another side 7 inches long. Which is NOT a possible length for the third side?

12 inches

3 inches

6 inches

11 inches

Answers

Answer:

Step-by-step explanation:

I can help

Best buy is having a 20 percent off deal on Tv's. If the tv cost 415 dollars in total, how much would you pay with the discount?

Answers

Answer: $332

Explanation:

You have to change the percent into a decimal so 20% becomes 0.20

415 x 0.20 = 83

20% of 415 is 83

415 - 83 = 332

13 more than a number Y is -7.

Answers

Answer:

m

Step-by-step explanation:

j

Answer:

-20

Step-by-step explanation

To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to  y=(-20) , so the answer is -20

What’s the measure of <7

Answers

It’s 115 degrees.


Hope that helps
Other Questions
The trend toward higher population and population density in urban areas like Chicago is best explained by A) a combination of foreign immigration and domestic migration from rural areas. B) government subsidies that encouraged migration to urban centers. C) better educational opportunities in urban centers, which drew rural families. D) lower rates of taxation in urban areas, which resulted in higher standards of living. Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area = help its timed please What is Natural Selection? Give an example for Natural Selection for Survival. Mark and Amanda conduct the same investigation as Nguyen, but they use four rocks. They test the same three rocks as Nguyen but add one more rock that has the same color and density as limestone. However, the rock doesn't produce bubbles when acid is added to it. Explain how the mineral composition of this rock compares with that of limestone? 452.88 is 74% of what number? (Please show work) On a certain hot summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that day? Determine whether the relation is a function. Explain. {(2,5),(4,2),(3,3),(5,4),(2,5)} *No; the elements 2, 3, 4, and 5 are in both the domain and the range.Yes; for each element of the range, there is only one element of the domain.No; the element 5 occurs twice in the range.Yes; for each element of the domain, there is only one element of the range. What factors led people to migrate long distances during the Industrial Revolution?Changes in ways of thinking led many to seek religious freedom.The steamship made it possible to travel across oceans easily.Industry developed in places where there were few workers available.Workers were needed on large plantations that developed in rural areas.People wanted to leave their families behind.New forms of transportation created industries that required labor. PLS HELP! ITS DUE SOON ILL GIVE BRAINLIEST An 88 kg person steps into a car of mass 2002 kg, causing it to sink 5.36 cm on itssprings. Assuming no damping, with what fre-quency will the car and passenger vibrate onthe springs? Answer in units of Hz. The acceleration of gravity is 9.81 m/s^2. FileHomeInsertFormulasDataReviewViewAutomateHelpEditingCalibri Light16BBra Av2CSGeneralGABDEFLH133 In cell D7, create a formula that calculates the tax for the invoice. Usasales tax rate of 7.5%SABROSACatering InvoiceSabrosa Empanadas & More1202 Biscayne Bay DriveOrlando, FL 32804Invoice #:6710A Date:10/15/20In cell Ds, create a formula that finds the total for the order. In otherthis formula should add cells D3:07.Empanadas & More1In cell D9 create a formula that calculates the total after a 10% discoyou need help understanding how to take a percentage off of a totalLINE TOTAL2 MENU ITEM3 Empanadas: Buffalo Chicken4 Empanadas: Braised Short Rib5 Empanadas: Fig and Goat Cheese6 Sides: Black beans and rice7UNIT PRICE$2.98$2.98$3.75$1.98QUANTITY20302540TAX8TOTALTOTAL AFTER DISCOUNT:9+Catering Invoice Catering Subtotal challengeC Mode tomate Workbook toHelo improve Office100%- hiii please help! ill give brainliest if you give a correct answer tysm! if you like riddles answer this whoever gets it right wins the brainliestDavid's father has three sons: Snap, Crackle, and _____?the answer is........ ill tell yall who got it right The daily supply of oxygen for a particular multicellular organism is provided by 625 square feet of lawn. A total of 8750 square feet of lawn would provide the daily supplies of oxygen for how many organisms What is the solution for the system of equations shown in the graph?WILL GIVE BRAINLY IF ANSWER Ruth found 50 chairs for $10. Please help Ruth by figuring out the ratio. (round to 2 decimal places)A. $5.00 per chairB. 5 chairs per dollarC. 0.5 chairs per dollarD. $0.50 per chair 2p+18=200 solve for p show your work Rewrite as a simplified fraction. 0.51 = ?the one is repeating btw What is your opinion on the use of stem cells, obtained from fertilized eggs or early stage embryos