Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2

Find The Equation Of A Straight Line Passing Through The Point (0,1) Which Is Perpendicular To The Line

Answers

Answer 1

Answer:

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

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of perpendicular line


Related Questions

On her first 5 tests, Francine scored 78%, 82%, 89%, 83% and 84%. What was her mean score?

Answers

Answer:

83.2%

Step-by-step explanation:

Just add all the percentages together and divide it by the number of scores, which in this case is 5.

Answer:

83.2%

Step-by-step explanation:                                                                                                  we know, mean = sum of data/ number of data

= 78+82+89+83+84

=416

now ,

416/5 = 83.2%

who wants to go out
girls look at my pic on profile An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?
less than 8.8 pounds
more than 8.8 pounds
no less than 8.8 pounds
no more than 8.8 pounds

Answers

Answer:

no more than 8.8 pounds

Step-by-step explanation:

In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score of 177. In his next game he obtained a score of 199 which caused his average to increase to 178. After one more game John would like his average to be 183. is it possible for him to accomplish this. If so what score does he need to make his next game if not explain why not.

Answers

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

[tex]\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\[/tex]

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

[tex]\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\[/tex]

PLS I NEED THIS! ASAP

Answers

Answer: the answer is -5/6 . 2-3/1

Step-by-step explanation:

I had one of these questions before in my exams. I'm pretty sure you

will get it right.

A chemical company makes up batches of copper sulfate solution by adding 250 kg of copper sulfate powder to 1000 liters of water. A laboratory chemist wants to make a solution of identical concentration, but only needs 350 mL (0.35 liters) of solution.

How much copper sulfate powder should the chemist add to the water? Enter your answer in the box below in decimal format.

The mass of copper sulfate that the chemist should add is______
kg.
help me please

Answers

Answer:

0.07 kg

Step-by-step explanation:

Assuming copper sulfate has same density as water

Chemical to water ratio as per given is:

250 kg : 1000 liter = 1 kg : 4 liter

Lab solution is 350 ml

Converting to same ratio as above:

350/(1 + 4) = 70 ml

70 ml : 280 ml = 70 g : 180 ml = 0.07 kg : 180 ml

Answer is 0.07 kg

Jodie bought a music player on sale for 50% off the original price, for $60. What was the price of the music player before the sale?

Answers

Answer:

the answer is $120

Step-by-step explanation:

60+60 is 120

#1) Mrs. Ebanks planted two trees on a
planning grid at coordinates (0,8) and
(12, 4). Determine the distance between
the trees using the given appropriate
formula.
show all work!

Answers

Answer:

D = 12.94 m

Step-by-step explanation:

Coordinates of first tree = A(0,8)

Coordinates of second tree = A(12,4)

We need to find the distance between the two trees. We can find it using distance formula for coordinates as follows :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have, x₁ = 0, x₂ = 12, y₁ = 8, y₂ = 4

Now using distance formula,

[tex]D=\sqrt{(12-0)^2+(4-8)^2}\\\\=\sqrt{144+16} \\\\=12.64\ m[/tex]

So, the distance between the two trees is 12.64 m.

Will give brainliest: Hugh made a recipe that yields 5 and 1 over 4 cups. If each serving is 1 over 2 cup, which expression will help Hugh determine the number of servings his recipe will yield?

5 1/4 x 1/2

5 1/4 + 1/2

5 1/4 / 1/2

5 1/4 - 1/2

Answers

Answer:

5 1/4 / 1/2

Step-by-step explanation:

Thay will equal the amount of halves u need if u solve it.

Answer:

5 1/4 divided by 1/2

Step-by-step explanation:

Identify the property on this equation 5(a + 3b) = 5a + 15b

Answers

Answer:

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

Step-by-step explanation:

Answer: Distributive Property

The term "distribution" is also used in place of "distributive"

This property says

x*(y+z) = x*y + x*z

We multiply the outer term x with each inner term (y and z). Then we add the results.

In this case,

x = 5

y = a

z = 3b

So,

5(a+3b) = 5*a + 5*3b = 5a+15b

f(x) = − 1
2
x for x = –6

Answers

Here is the explanation

Answer:

Your an idiot and i oop hahahahah thats what u did on my question. YOUR AN IDIOT UR A IDIOT U SUCK.

Step-by-step explanation:

On another day, Martin bought 123
5
pounds of grapes for a picnic. His friend bought 3
8
of that amount. Use compatible fractions to estimate how many pounds of grapes Martin’s friend bought.

123
5


3
8


Martin's friend bought about
pounds of grapes.

Answers

123 I think but let me know if it's right

Answer:

1.)✔ 12 1/2

2.) ✔ 1/2

3.) ✔ 6 ¼

 

Step-by-step explanation:

Find the distance between the two points G(-1,-5) and H(3,-8)

Answers

Answer:

5.099

Step by step explanations:

Input Data :

Point 1(xA,yA)(xA,yA) = (4, 3)

Point 2(xB,yB)(xB,yB) = (3, -2)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(3−4)2+(−2−3)2(3-4)2+(-2-3)2

= √(−1)2+(−5)2(-1)2+(-5)2

= √1+251+25

= √2626 = 5.099

Distance between points (4, 3) and (3, -2) is 5.099

(9+7i)+(-5-31) =
add complex numbers

Answers

Answer:

4 + 4i

Step-by-step explanation:

Add the real part and add the imaginary part.

9 + 7i + (-5  - 3i) = 9 + 7i - 5 - 3i

                          = 9 - 5 + 7i - 3i

                          = 4  + 4i

Answer:

44

Step-by-step explanation:

Okay so we are given (9 + 71) + (-5 - 31).

We need to figure out the value of this expression.

First, let's solve the expression (9 + 71).

1.  (9 + 71) = 80.

Now we have 80 + (-5 - 31).

Next, let's solve the expression (-5 - 31).

2.  (-5 - 31) = -36.

We're left with 80 + (-36).

Finally, let's add the two numbers together.

80 + (-36) = 44

So (9 + 71) + (-5 - 31) = 44

Feel free to give brainliest.

Have an excellent day!

A half marathon is 13.1 miles long. Which equation could be used to determine the time, t, it takes to run a half marathon as a function of the average speed, s, of a runner?

Answers

Answer:

time(t)=distance(13.1)/speed (s)

hope this helps

MARK AS BRAINLIEST

MARK AS BRAINLIEST

Answer:

Time=distance/average speed

Step-by-step explanation:

Example:

Average speed: 13.1 miles per hour

Distance: 13.1 miles

Time: x

X= distance/speed

X= 13.1/13.1

X=1

Search for Speed/Time/Distance   (Physics)

helpppp pllzzzz
I need help w this asap thankkkk in advance

Answers

Answer= 2(2g + h)(4g^2 – 2gh + h^2)

If you get this one correct I WILL MARK BRAINLEST thanks

Answers

Answer:

111 111 11      1 111 111 1        11 111

Step-by-step explanation:

3  pizzas

If 2/5 of the books in the library are fiction and 1/4 of the fiction books are science fiction, what fraction of the books in the library are science fiction? check all that apply.
A. 2/5
B. 1/4
C. 4/7
D. 3/7

Answers

I think it’s b if it’s not it’s C

None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.

Let's calculate the fraction of science fiction books in the library based on the given information.

If 2/5 of the books in the library are fiction, then the fraction of fiction books in the library is 2/5.

Now, if 1/4 of the fiction books are science fiction, we can find the fraction of science fiction books in the library by multiplying the fraction of fiction books by 1/4:

Fraction of science fiction books = (2/5) * (1/4)

Fraction of science fiction books = 2/20

Simplifying the fraction, we get:

Fraction of science fiction books = 1/10

So, the fraction of books in the library that are science fiction is 1/10.

None of the provided options match the correct fraction. The correct fraction is 1/10, which is not listed.

To know more about Fractions:

https://brainly.com/question/10354322?

#SPJ2

Find the value of x that makes m ∥ n .

Answers

Answer:

60

Step-by-step explanation:

(2x+15)=135    They're corresponding angles so they equal/congruent

     -15   -15       Subtract 15 on both sides since you're looking for x

2x = 120       Bring down the remains and subtract 135 from 15

 2        2        Add 2 on both sides

x= 60            Divide.

What is 9(x + 8) + x(5+4)

Answers

Answer:

72+ 18x

Step-by-step explanation:

9x+72+5x+4x

72+ 18x

9(x + 8) + x(5 + 4)

9x + 72 + 5x + 4x

18x + 72

(If you have been asked to solve for x then also include the following, if not then only write what is above!)

18x + 72 = 0

18x = -72

x = -4

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

HELPPPP ORDER THE NUMBERS FROM LEAST TO GREATEST
-3.5, √20, negative √19, 4.9, 3/2

Answers

Answer:

[tex]\sqrt{-19} , -3.5, 3/2, \sqrt{20} , 4.9[/tex]

Negative numbers go first, the greater the number, the smaller the number.

Answer:

-√19,-3.5, √20, 4.9, 1/2

Step-by-step explanation:

Find the square root of 19 ( Which you can't)  always have the negatives go first because negatives are the greatest. Find the square root of 20, which equals 4.4, then divided 3/2 which gives you 1.5. I hope this helped! I'm not the best at explaining either.

Please answer the questions. I am sick today and cant even solve the questions.っ╥╯﹏╰╥c

Question number 7 i got a bit headache!!π_π

Please show ways too helpers.

Answers

Step-by-step explanation:

2. a) SA= 33cm²

b) w= 1cm

c) l= 5cm

d) h= 5cm

3. 38 100 cm² if wood

Which two integers is –85 between?

Answers

Answer:

-84 and -86

Step-by-step explanation:

( 8-5 )²
how to simplify

Answers

It is just going to be 3^2 which is 9

Answer:

9

Step-by-step explanation:

(8-5)^2

3^2

3×3

9

Hope this helps :)

Which of the following values are solutions to the inequality

Answers

i used socratic for that one

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

To learn more about the speed;

https://brainly.com/question/7359669

#SPJ2

Find the equation of the straight line passing through the point (0,2) which is perpendicular to the line y=1/4x+5

Answers

Answer:

y=-x+2

Step-by-step explanation:

Finding angles in measures using triangles

Answers

you can use this for help:

the interior angles of a triangle add up to 180°

So, Angle I + angle H + angle x =180°

60°+56°+x°=180°

116°+x°=180°

X=180-116

X=64°

brainliest for right answer
Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2). If it is
reflected over the x-axis, what are the coordinates of C'? (Answer as an ordered
pair without spaces)

Answers

Answer:

C' (4,-6)

Step-by-step explanation:

Any point being reflected over the x-axis will undergo the following transformation:

(x, y) --> (x, -y)

(4, 6) --> (4, -6)

The coordinates of C',

C(4,6) → C'(4, -6).

What is a reflection?

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

Given:

Quadrilateral ABCD has coordinates A(-2,0), B(0,4), C(4,6), and D(2,2).

If it is reflected over the x-axis,

The reflection rule:

(x, y) → (x, -y)

The coordinates of C',

C(4,6) → C'(4, -6).

Therefore, the image point of C is C'(4, -6).

To learn more about the reflection;

https://brainly.com/question/11232423

#SPJ6

Can someone help me please?

Answers

Answer:

about 6000π

Step-by-step explanation:

Hope it helps :)
Here is the working
Other Questions
HURRY PLEASE HELP Four students are discussing the benefits and problems associated with using nuclear energy as alternative energy source. Which student has the strongest argument about using nuclear energy? A. Nuclear power plants pollute the environment and causes cancer in populations that use nuclear energy instead of traditional electricity. B. Nuclear power plants provide more energy than traditional coal plants; however, nuclear power plants also produce more greenhouse gases. C. Nuclear power plants run a high risk of nuclear meltdown killing all the organisms in a 20 mile radius. D. Nuclear power plants provide more energy than traditional coal plants and these plants do not produce greenhouse gases. In 2014, of fatal traffic accidentsinvolved alcohol.7%56%22%31% Why do gases released by incinerators cause problems Cardiac muscles, one of the three major types of muscles, is found in the walls of the heart. Which one of the following statements is not related to the cardiac muscles?(a) These muscles show rhythmic contraction and relaxation throughout life.(b) They do not work according to our will, so they are involuntary muscles.(c) They are non-striated, multinucleated and branched muscles.(d) The contraction and relaxation of the heart muscles help to pump and distribute blood to different parts of the body. Leaving this account and making a new one, I might use this one sometimes. Bye. define hypogeal germination and Epigeal germination help me 20 POINTS MATH please help me with honors chem I will give brainliest answer Someone be as kind as to offer some help? Use the elimination method to solve the system of equations. Choose the correct ordered pair -x+5y=-44x+3y=16Will give brainiest. Can you typically see a NEW MOON? __________ Jayden paid a total of $155 to purchase 5 books from a book club. Each book cost the same amount. The total cost included a shipping and handling fee of $15. What was the price of each book? 3. A merchant sold a pen for $6.90, thereby making a profit of 15% on the cost to her. Calculate: a. the cost price of the pen to the merchant to the nearest cent. b. the selling price the merchant should request in order to make a 25% profit instead. What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?y minus 4 = 3 (x minus 1)1 minus y = 3 (x minus 4)y 1 minus 4 = 3 (1 minus x 1)1 minus y 1 = 3 (4 minus x 1) 6. Even when matter goes through a physical or chemical change the matter cannot be ____ or ___. Humans have found that we can eat the space cow, and it's delicious! There are no laws currently in place protecting the environment of Planet Z. What would happen to the populations of both the Space Cows and the Vaderians if humans began to hunt for Space Cows on Planet Z?Will it increase or decrease and why? 23 + 72 = ????What is the answer? Read and match each sentence with the correct subject or pronoun for the blank.1. ________ lees la carta.2. ________ desayuna en el restaurante.3. ________, seor, come en el restaurante?4. ________ necesito el mantel?A. YoB. Mi mamC. TD. Usted Erin is buying a tv with an original price of 650. She receives a 20% discount. How much will Erin pay, before tax, for the TV Alexis mills was a write in candidate for city inspector for quinton Junction. This means thatA, Alexis was nominated by her political party to run for city inspector.B, Alexis was selected to run for city inspector by the Quinton Junction city Council.C, alexis asked voters to put her name on the ballot for the job of city inspector.D, alexis was appointed to the job of city inspector by the Quinton Junction mayor. Determine the type of triangle that is drawn below.4.89K308096.264.89509What type of triangle