What is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x + y = 3 in standard form?

Answers

Answer 1

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5


Related Questions

please help I will make Brainliest if correct (show working)​

Answers

Answer:

I beleive X=2

Area is 24

Step-by-step explanation:

X=2 because the side with B has 4cm and on the other it has 6 but the 4 can be put into 6 and 6-4 is 2 if that made any sense

The area is 4 times 2= 8 and then 8 times 2 is 16

16+8=24

State the domain and range of the following function.

Answers

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

\text{walmart sells 6oz bottle of laundry detergent for 4.80. what is the price per ounce

SHOW ME HOW YOU SOLVED IT!

Answers

Answer:

Wsg luh girl

Step-by-step explanation:

Help me please!! i beg

Answers

Eat the Legendry Fruit: And play King legcy

Step-by-step explanation:

Kết quả của phép tính : 2(x+1) là?

Answers

Answer:

2x + 2 is your using distributive property

Step-by-step explanation:

Answer:

2x +1 =))))

bạn mất gốc hả

10) y=-x-4 4 5 1514 -​

Answers

1/5 is the slope and we can use (-4,0) as a starting point.

Hello if you answer this question i will post another question giving 100 points

Answers

Answer:

ok?

Step-by-step explanation:

Brainliest?

Answer:

what's your question even-

Multiply out and simplify:
(x-8) (x-7)

Answers

Answer:  x² - 15x + 56

Step-by-step explanation:

To expand the brackets, each term in the first bracket must be multiplied by each term in the second bracket and then simplified:

(x-8) (x-7) = (x × x) - (7 × x) - (8 × x) + (8×7)

               = x² - 7x - 8x + 56

               = x² - 15x + 56

Answer: x^2-15x+56

Step-by-step explanation:

1-Distribute

x(x-7)-8(x-7)

2-Distribute

x^2-7x-8(x-7)

3-Distribute

x^2-7x-8x+56

4-Combine like terms

x^2-15x+56

how do you find common multiples and factors explain

Answers

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

.The sum of the angles of a polygon is 900⁰ .How many sides does it have​

Answers

Answer:

heptagon

Step-by-step explanation:

HELPPPP PLEASEEEE will give brainliest ​

Answers

Answer:

I think it's the 3rd or fourth one. I'm not positive tho

which line is parallel to the line whose equation is 4x 3y = 7, and also passes through the point (- 5, 2)?

Answers

Answer:  [I assume:  "4x 3y = 7" is really 4x + 3y = 7]

y = -(4/3)x -14/3

Step-by-step explanation:

Rewrite this as y=mx+b, where m is the slope.  

4x + 3y = 7

3y = -4x +7

y = -(4/3)x +(7/3)

The slope is -(4/3)

A parallel line will have the same slope, but a specific value of b to allow it to go through the given point (-5,2):

y = -(4/3)x + b

Enter the point and solve for b:

2 = -(4/3)(-5) + b

2 = (20/3) + b

b = 2 - (20/3)

b = 6/3 - 20/3

b = -14/3

y = -(4/3)x -14/3

MITHUN'S UNCLE IN AMERICA HAD SENT HIM 10 USA DOLLARS AS A GIFT. MITHUN USED 350 RUPEES FOR A SCHOOL TRIP. HOW MUCH MONEY WAS LEFT WITH HIM?
PLEASE ANSWER FAST WILL MARK AS BRAINLIEST AND THI QUESTION IS OF 50 POINTS ​

Answers

Answer:

He had $47 left from the school trip

2tanx - 3cotx + 1 = 0

Answers

Answer:

475767u5yttuyy

Step-by-step explanation:

phobrovicodibfofiffivonf

Find the area and perimeter of
the parallelogram:
17ft
12ft
15ft

Answers

Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

[tex]204ft^{2}[/tex]

The Perimeter of the Parallelogram is:

[tex]64ft[/tex]

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have [tex]204ft^{2}[/tex].

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes [tex]64ft[/tex].

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Answers

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dan's house to Samuel's house is 4 km

Find out more at: https://brainly.com/question/21846482

You buy a new notebook for school the notebook cost to buy or one dollar Martha comes to $3.46And the taxIs 6%How much of the percentWhat is the markupAnd whatIs your finalPrice for The notebook with tax

Answers

Answer:

AHHHH I LOVE YOUR PROFILE PICTURE GOKU IS THE BEST <3 :D

Find the value of x

4(x+9) = 3 (x+11) -1

Answers

Answer:

Step-by-step explanation:

4(x+9)= 3(x+11)-1

=4x+36=3x+33-1

=4x+3x= 36+33-1

7x=68

x=9.7

x=10.

please help me :)

see image below

Answers

Answer:

x=6

Step-by-step explanation:

2x+5=17            

-5       -5    

2x=17-5

2x=12

x=6    

Answer:

2x+5=17 is x = 6, so 17 --> -5 --> ÷2 I hope this helps! :D

A 10 kg bag of potatoes costs $5. Write a formula for the cost of potatoes.

Answers

Answer:

10/5

Step-by-step explanation:

10 bags =5$

therefore one kg equals 10/5

I NEED HELP PLEASE!!!!

Answers

Answer:

the answer is x=15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

since angles 84 and 5x + 9 are alternate interior angles they both are equal

i.e

5x +9 = 84

5x = 84 -9

5x = 75

x = 75/5

therefore x = 15

keep smiling

70+2e+3e=180° answere me ​

Answers

Answer:

2e+3e=180-70

5e=110

e=110÷5

e=22

guys pls help me!!!!!!

Answers

Answer:

x= 55

y=125

Step-by-step explanation:

y = 180 - 55

hope it's correct

what part of 63 is 18

Answers

Answer:

If you mean percent, its 350%

Answer:

1134

Step-by-step explanation:

1134/63=18

Which equation represents a line which is parallel to the y-axis?

Answers

Answer:

x= 3

Step-by-step explanation:

I hope this helps but if there are options lmk

Answer:x= -2

Step-by-step explanation:

A fishing boat radioed the Coast Guard for a helicopter to pick up a sick crew member. At the time of the message, the boat is 660 kilometers from the helicopter and heading toward it. The average speed of the boat is 30 kilometers per hour, and the average speed of the helicopter is 300 kilometers per hour. How long will it take the helicopter to reach the boat

Answers

The answer for this question is 6,000

Which two numbers are 4 units from -2?

Answers

Answer:

-6 and 2

Step-by-step explanation:

look left and right on number line. count 4 places over going both ways

Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute

Answers

Answer:

-12 gal / min

Step-by-step explanation:

[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]

Please help me
This is a 45-45-90 triangle.
What is the measure of x?
X
х
X
= V[?]

Answers

Answer:

x = [tex]\sqrt{3}[/tex]

Step-by-step explanation:

the ratio of side to hypotenuse in a right triangle is 1 : [tex]\sqrt{2}[/tex]

in this problem we can use 'x' in place of 1 and [tex]\sqrt{6}[/tex] in place of [tex]\sqrt{2}[/tex] to create a proportion like this:

1/x = [tex]\sqrt{2}[/tex]/[tex]\sqrt{6}[/tex]

cross-multiply to get:

[tex]\sqrt{2}[/tex]·x = [tex]\sqrt{6}[/tex]

x = [tex]\frac{\sqrt{6}}{\sqrt{2}}[/tex]

x = [tex]\sqrt{3}[/tex]

Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.


An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.

Answers

Answer:

the second and last sentences.

Step-by-step explanation:

Its the most reasonable!

Answer:

It is accutally 1st 2nd and 3rd plz trust me

Step-by-step explanation:

it is the corect

Other Questions
divide 7 by 12 to change 7/12 to a repeating decimal. 7/12 = 7 divided by 12 = ? the romantic period serves as an excellent model for film music composers to follow. Why is antibiotic resistance dangerous? A painter has 7/8 gallon of stain. An interior door requires 1/4 gallon of stain to finish. How many doors can be finished? p is a degree 3 polynomial with p ( 0 ) = 22.08 and zeros 2 and 4 i . Find an equation for p with only real coefficients (i.e. no i in your equation).Use x as your input, and round all answers to 2 decimal places as needed. which geologic feature occurs at a convergent boundary? Can someone please help me with this problem Why can we predict the phases of the moon?please dont search it up Please help I would be very grateful What happens if metal is in acid?I'm having a blank Honestly, how are YOU doing? Help me or the milk gallon in your fridge will grow legs and run away. Who were Prussias political allies/adversaries while Frederick William I was in charge? A car is traveling at a rate of 99 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers will the car travel in 15 minutes? Do not round your answers. Find the slope of the y intercept of the graph linear equation 2x+y=7 1 oct Aster Turane invested $46,000 cash, a $16,000 computer system, and $15,000 of office equipment in the business. 2 oct Paid six months of rent in advance; $9,000. 3 oct Purchased computer supplies on credit for $1,975 from Triple-One Supplies. 5 oct Paid $8,640 cash for one year's premium on a property and liability insurance policy. 6oct Billed Norton Electric $8,300 for installing a new computer system. 8oct Paid for the computer supplies purchased from Triple-One Supplies. 10 Oct Hired Donald Gee as a part-time assistant for $345 per day, as needed. 12 Oct Billed Norton Electric another $1,850 for computer services rendered. 15Oct Received $1,650 from Norton Electric on its account. 17Oct Paid $375 to repair equipment damaged when moving into the new office. 20Oct Paid $2,000 for an advertisement in the local newspaper. 22Oct Received the balance owing from Norton Electric on its account. 28Oct Billed Whistler Resort $6,400 for services. 31Oct Paid Donald Gee for nine days' work. 31 Oct Aster Turane withdrew $1,200 cash from the business for personal use. In any given triangle, the square of the longest side is equal to the sum of the squares of the two shorter sides. a. 5 cm, 12 cm, 13 cm b. 4 cm, 5 cm, 7 cm c. 3 cm, 4 cm, 5 cm d. 9 cm, 12 cm, 15 cm HELPPP PLEASE DUE IN 30 MINUTES PLLEASSSSEEEEEEEEEE...... REAL ANSWWERSSS ONLYYou have been appointed as the head of the IAAF (International Association of Athletics Federations). It is your job to decide if Caster Semenya should be allowed to compete in the 2021 Tokyo Olympic Games. Her lawyers and the South African Olympic Team have argued that she be allowed to compete without any special medications to reduce her elevated male hormone levels, as her condition is naturally occurring from birth. What is your response? Responding to the above scenario. Make sure that you are using correct spelling, punctuation and grammar. Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would you Would youImagine yourself as an agony Aunt. Work on the following activity by writing two pieces of advice to a fellow teenager for each of the given situations. Use should, should not, must, must not, ought to. 1. I feel that I could open up more easily towards my friends than my family. A. ____________________B. ____________________2. I feel that I could open up more easily towards my friends than my family. A. ____________________B. ____________________If you can answer it accurately, I will mark you as the brainliest.:-):-):- Read the excerpt from The Wife by Washington Irving.Poor Mary! at length broke, with a heavy sigh, from his lips.And what of her, asked I, has anything happened to her?What, said he, darting an impatient glance, is it nothing to be reduced to this paltry situationto be caged in a miserable cottageto be obliged to toil almost in the menial concerns of her wretched habitation?What is most likely the meaning of menial as it is used in the paragraph?unnecessarycontinualdetailedlowly