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

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

Answers

Answer 1

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2


Related Questions

Ariane borrows $200 on a 2−year loan. She is charged 5% simple interest per year. How much interest is she charged for 2 years? What is the total amount she has to pay back?

Answers

Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

i need a step by step explanation

Answers

Answer:

1/2c-4

Step-by-step explanation:

First, you distribute the fraction on the outside to the numbers inside of the parenthesis. So, you distribute 1/2 to c, which gives you 1/2 x c = 1/2c. Then, you distribute the 1/2 to -8, which gives you 1/2 x -8 = -4. You combine these expression together and get your final answer as 1/2c-4.

PLEASE HELP ILL GIVE YOU BRAINLIEST

Answers

Answer:

78.54

Step-by-step explanation:

So the rounded answer would be 100. I honestly am not 100% sure. I just looked it up. sorry if it is wrong! :c

Which situation represents a non-proportional relationship?



The cost of purchasing p pounds of salmon for $7.99 per pound.

The amount a student makes mowing m number of lawns charging $35 per lawn.

The amount of water draining at a rate of 2.5 gallons per minute.

The total cost of renting a jet ski for $25 per hour plus a fee of $50.

Answers

Answer:

Correct option:

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

Step-by-step explanation:

Proportional relationships are associations between two variables where the ratio of these two variables are correspondent. Or, in a proportional relationship, one variable is a constant value times the other variable. This constant is known as the "constant of proportionality".

The first three options represents a proportional relationship.

But the last option does not.

"The total cost of renting a jet ski for $25 per hour plus a fee of $50."

That is,

TC = 25·h + 50

The relationship is linear not proportional.

Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?

Answers

Answer:

Y=3.68x

Step-by-step explanation:

Answer:

Its should be y=$3.68(X)

–sin2(x) = cos(2x) from [–π,π]

I need help on this

Answers

If the equation is

- sin²(x) = cos(2x)

rewrite the left side using the Pythagorean identity,

sin²(x) = 1 - cos²(x)

and the right side using the double angle identity for cosine,

cos(2x) = 2 cos²(x) - 1

Then the equation transforms to

- (1 - cos²(x)) = 2 cos²(x) - 1

Solve for cos²(x) :

-1 + cos²(x) = 2 cos²(x) - 1

cos²(x) = 0

Take the square root of both sides to get

cos(x) = 0

Solve for x :

x = cos⁻¹(0) + 2   or   x = cos⁻¹(0) - π + 2

x = π/2 + 2   or   x = -π/2 + 2

where n is any integer. We get solutions in the interval [-π, π] when n = 0, giving the solutions

x = π/2   or   x = -π/2

Find the value of x that makes the equation true:

x + 3 = 4

Answers

Answer:

x = 1

Step-by-step explanation:

Subtract 3 from both sides

x+ 3 - 3 = 4 - 3

gives x=1

A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?

Answers

this is a scalene triangle

Answer:

Scalene Triangle

Step-by-step explanation:

A scalene triangle is a triangle that’s supposed to have all three sides with unequal lengths.

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

Which relationship between x and y in the equation shows a proportional relationship?
y=3x
y=5(r+3)
y=x-2
y=5x +3

Answers

Answer:

Y=3x

Step-by-step explanation:

Proportional relationships always have multiplication or division

Which function could be represented by the graph on the
coordinate plane?

Answers

The last option f(x)=(x-8)^2 -6

The reason is that whatever is in the parenthesis is always opposite. So since the graph is on the right side that means it’s -8 not positive 8. And the -6 represents a vertical translation and the graph is placed below zero.

Answer:

f(x)=(x-8)^2 -6

Step-by-step explanation:

Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?

Answers

Answer: .8409 or 37/44

Step-by-step explanation:

At 10 AM Han and Tyler both started running towards each other from the opposite end of 10 mile path along the river. Han runs at a pace of 12 minutes per mile.Tyler wanted a piece of 15 minutes per mile.how far does Han one after an hour?

Answers

Answer:

Han will run 5 miles in 1 hour.

Eighty percent of all dentists surveyed agree: Zilch toothpaste tastes best.

Percent of Dentists Surveyed Disagree Agree Do you think this information is misleading? Why or why not?

a. Yes, because it does not state how many dentists were surveyed.
b. Yes, because it does not state on the graph what percentage agrees with the statement.
c. No, because the graph shows eighty percent of the dentists agreeing with the statement. d. No, because it states which toothpaste was used in the survey.​

Answers

Answer:

a. Yes, because it does not state how many dentists were surveyed.

Step-by-step explanation:

The graph doesn't show how many dentists were actually surveyed, which is a very important factor in interpreting results. Some people could have their own assumptions in this case. Some would think they only surveyed 5 dentists rather than 30 dentists, which affects the percentage or outcome of the result. The sample size in a survey is very crucial when it comes to conducting a research as well as analyzing the result. It will show a transparent distribution of the survey responses.

Answer:

A. Yes, because it does not state how many dentists were surveyed.

Step-by-step explanation:

How is the space between consecutive whole numbers divided on the number line?
O into halves
O into fifths
O into sixths
O into sevenths

Answers

Answer:

I think it’s is into fifths if I’m correct

Step-by-step explanation:

I need help please help me

Answers

Answer:

You're right- I'm pretty sure it's C.

What is 40% of 25 is it
A. 62.50%
B. 16%
C. 160%
D. 10%

Answers

40 percent of 25 is D. 10%

Step-by-step explanation:

D. 10 %

hope it helps!

.......

What is .63 converted into a decimal?

Answers

Answer: 63 as a decimal is 0.63

Step-by-step explanation:

Answer:

the answer to your question is 0.63

Mike has a collection of baseball cards and baseball figurines. If the ratio of cards to figurines is 5:7 and there are 25 cards in his collection, how many figurines does he have

Answers

Answer:

35 figurines

Step-by-step explanation:

if the ratio of cards to figurines is 5:7 and there are 25 cards, we multiply the ratio by 5 to make the 5 into a 25 and so can find out how mant figurines there are.

5*5:7*5= 25:35

so there are 35 figurines

I WILL GIVE BRAINLIST Answer the questions to compare 3/12 and 2/9 by using their decimal forms.

1. How can you find the decimal forms of 3/12 and 2/9?

2. Find the decimal form of 3/12 Show your work


3. Find the decimal form of 2/9 Show your work

Answers

Answer:

3/12=0.25

Step-by-step explanation:

3/12=1/4

1/4*25/25 =25/100

25/100 = 0.25

Answer:

1.  To find the decimal form of 2/9 and 3/12, you have to divide the numerator by the denominator.

2. 0.25

3. 0.22222222

Step-by-step explanation:

1. pretty much explained it

2. divided the numerator by the denominator

3. same thing as 2 (divided the numerator by the denominator)

ray bd bisects angle abc. solve for x

Answers

Answer:

x = 10

Step-by-step explanation:

Since, ray BD bisects ∠ABC,

Therefore, m∠ABD = m∠CBD

By substituting the values of the angles,

x° = (4x - 30)°

x - 4x = -30

-3x = -30

x = 10

Therefore, x = 10 will be the answer.

QUICK I GOT 2 MINUTES
We had dinner at Joe's Crab Sahck. The bill was $200. We had a coupon for 15% discount. We decided to pay the waitress 20% tip and a 7% tax. What was the amount of final bill?

Answers

Answer:

I think it is 224.

Other:

Brainliest? Thanks!

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

f(x) = 4x4-3x3–2x2-5 possible zeros

Answers

Answer:

f(x)= 1 correct me if wrong :)

Step-by-step explanation:

4 times 4 is 18

3 times 3 is 9

18-9=8

2 times 2 is 4

8-4=4

4-5=1

Evaluate x² + 2x - 4 if x = -4.

Answers

Answer:

the answer is ;4

Step-by-step explanation:

MULTIPLE CHOICE QUESTION
What is the COP of the table below?
X
Y
2
1
4.
2
6
3
8
4
K = 2/4
K = 4/2
K = 1/2
K = 2/1

Answers

Answer:

K = 2/1

Step-by-step explanation:

Constant of proportionality can be found using any two given pair of values.

Constant of proportionality = y/x

Therefore, using (1, 2) , we have

Constant of proportionality = y/x = 2/1 = 2

Or it can be written as: k = ²/1 = 2

Figure AAA is a scale image of Figure BBB.

Answers

Answer:

that hard than i though

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

−4(m+3)=24
m=?
If you know the answer, please let me know. I really need help. Thank you.
(If the answer is right, this person will be the smartest)

Answers

Answer:

Your answer is going to be m=-9

Step-by-step explanation:

(-4(m+3))/-4=(24)/-4

m+3=-6

   -3  -3

m=-9


A team won 13 games, lost 15 games, and tied 2
games. What percent of its games did the team win? I need help please!!

Answers

Answer:

43%

Step-by-step explanation:

First, find the total amount of games:

13 + 15 + 2

= 30

Then, to find the percentage of games won, divide 13 by 30:

13/30

= 0.43

So, the team won approximately 43% of its games

Answer: Approximately 43.3%

Work Shown:

13+15+2 = 30 games total

Divide the number of games won (13) over the number total (30)

13/30 = 0.433 approximately which converts to 43.3% of the games won

To convert from decimal form to percent form, move the decimal point over to the right two spaces. Another example would be 0.83 converts to 83%

help me ples 20 point

Answers

Answer:

40%

Step-by-step explanation:

6/15 * 100 = 0.4 * 100 = 40%

Answer:

40% of the pieces of fruit in the Bowl are apples.    

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

Total number of pieces of fruit  in a bowl = 15 pieces

Number of pieces of apple in a bowl = 6 pieces.

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Other Questions
Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him THE WORLD WITH A THOUSAND MOONS CHAPTER 1: Thrill Cruise By Edmond Hamilton Lance Kenniston felt the cold realization of failure as he came out of the building into the sharp chill of the Martian night. He stood for a moment, his lean, drawn face haggard in the light of the two hurtling moons. He looked hopelessly across the dark spaceport. It was a large one, for this ancient town of Syrtis was the main port of Mars. The forked light of the flying moons showed many ships docked on the tarmaca big liner, several freighters, a small, shining cruiser and other small craft. And for lack of one of those ships, his hopes were ruined! A squat, brawny figure in shapeless space-jacket came to Kenniston's side. It was Holk Or, the Jovian who had been waiting for him. "What luck?" asked the Jovian in a rumbling whisper. "It's hopeless," Kenniston answered heavily. "There isn't a small cruiser to be had at any price. The meteor-miners buy up all small ships here." "The devil!" muttered Holk Or, dismayed. "What are we going to do? Go on to Earth and get a cruiser there?" "We can't do that," Kenniston answered. "You know we've got to get back to that asteroid within two weeks. We've got to get a ship here." Desperation made Kenniston's voice taut. His lean, hard face was bleak with knowledge of disastrous failure. The big Jovian scratched his head. In the shifting moonlight his battered green face expressed ignorant perplexity as he stared across the busy spaceport. "That shiny little cruiser there would be just the thing," Holk Or muttered, looking at the gleaming, torpedo-shaped craft nearby. "It would hold all the stuff we've got to take; and with robot controls we two could run it." "We haven't a chance to get that craft," Kenniston told him. "I found out that it's under charter to a bunch of rich Earth youngsters who came out here in it for a pleasure cruise. A girl named Loring, heiress to Loring Radium, is the head of the party." The Jovian swore. "Just the ship we need, and a lot of spoiled kids are using it for thrill-hunting!" Kenniston had an idea. "It might be," he said slowly, "that they're tired of the cruise by this time and would sell us the craft. I think I'll go up to the Terra Hotel and see this Loring girl." "Sure, let's try it anyway," Holk Or agreed. With the Jovian clumping along beside him, Kenniston made his way from the spaceport across the ancient Martian city. Read the following lines from the text: And for lack of one of those ships, his hopes were ruined! This line suggests Kenniston is (3 points) desperate angry dramatic realistic A landscaping service company charges customers a one-time fee and an hourly rate of $15. For 1 hour of service, the company charges $45. 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