Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

Answers

Answer 1

Answer:

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

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

So

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

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

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

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

[tex]y = -\frac{1}{2}x + 3[/tex]


Related Questions

Carl has visited 49 of the 50 states.
What percent of the states has he visited?
Need help quick

Answers

Answer:

98%

Step-by-step explanation:

find the missing value ​

Answers

Answer:

I have made it in above picture

Select the correct answer from each drop-down menu.


A camp director developed the function m(c) = 12c + 80 to model the total cost of taking c campers on a field trip to the movies.


In the camp director’s function, the number of campers is the _______ variable and the total cost of the trip _________


1. ( independent, dependent )

2. ( changes by a constant factor per camper, Changes by a constant amount per camper )

.

Answers

Answer:

(a) Independent variable

(b) The constant factor is 12

Step-by-step explanation:

Given

[tex]m(c) = 12c + 80[/tex]

c = campers

m = total cost

Solving (a) What type of variable is the number of campers (c)

The total cost (m) is dependent on the number of campers (c) for its own value.

In other words, if c changes from 5 to say 7, the value of m will also change.

This implies that the number of campers is an Independent variable

Solving (b): Constant factor

This in other words means, rate of change (or slope)

A linear function is:

[tex]y = ax + b[/tex]

Where a represents the slope

By comparison with: [tex]m(c) = 12c + 80[/tex]

Hence, the constant factor is 12

Answer:

dependent, changes by a constant factor per camper.

Step-by-step explanation:

Which set of numbers shows the lower extreme, the lower quartile, the median, the upper quartile, and the upper
extreme for the box-and-whisker plot shown?

(14, 13, 28, 45, 54)

(6,12, 28, 44, 54)

(12, 20, 28, 44, 54)

Will give brainly
Please help me
(6,19,27, 44,54)

Answers

B: (6,12,18,44,54)

I just did this and this was correct.

Answer:option B

Step-by-step explanation:i got it right trust me

Find the area of the shaded polygons

Answers

Answer:

8

Step-by-step explanation:

you can find matches that make 1 and add them all up

Answer:

8 because of rsm

Step-by-step explanation:

I need help on this 1+s=3

Answers

Answer:

s = 2

Step-by-step explanation:

3 - 1 = 2

1 + 2 = 3

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

someone please help thanks

Answers

Answer:

Don't take my word for it because I havent dont this in a while but I believe it is the top right

The answer to this question is 1/2

a solution set always include....

Answers

A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. ... If the two sides are equal, the equation is true and thus the value is a solution.

A television station shows 3 commercials every 12 minutes. At this rate, how many commercials will the station show in 84 minutes?

Answers

Answer:

21

Step-by-step explanation:

84/12=7x3=21

Answer:
It will take 72 mins to see 18 commercials.
Step-by-step explanation:
If a television station shows commercials every 12 mins, then to figure out how long it takes to see 18 commercials you will have to do 18 / 3 which is 6. Then do 12 * 6 and you will get 72 mins.
Another method is finding the unit rate of how long does it take to see one commercial. So in order to do that, you will have to do 12 / 3, and you will get 4. So, to see one commercial it will take 4 mins. But you want to find how long will it take to see 18 commercials. So you do 18 * 4 which equals 72 mins.

solve please
- 4 + 5x = 11
x=____

Answers

Step-by-step explanation:

Given

- 4x + 5x = 11

or 5x = 11 + 4

or 5x = 15

or x = 15 /5

Therefore x = 3.

Hope it will help :)❤

Answer:

x=3

Step-by-step explanation:

-4+5x=11

+4 on both sides

5x=15

÷5 on both sides

x=3

Hope this helps =]

Graph a line with the given slope that passed through the given point.
slope: 0, point: (0, -2)

Answers

Answer:

Graph the line y = -2.

Step-by-step explanation:

A line with zero slope is a horizontal line.  Find (0, -2) on the y-axis and draw a horizontal line through it.  This will fully address this question.

For Gianna's lemonade recipe, 8 lemons are required to make 10 cups of lemonade. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.

Answers

Answer:

4   5

8    10

24     30

Step-by-step explanation:

Hoshi walks 10 meters in 3 seconds. She walks the same at this rate for 50 seconds. How far does she walk?

Answers

10m ----> 3 sec

x meters ----> 50 sec

50(10) = 3x

500 = 3x

devide both in 3

x = 166.66 m
166.7 m is the correct, rounded answer

6. If a person adopts a pet, it's either a cat or a dog. 25% of the time, it's a cat and 75% of the time, it's a dog. If you meet someone at the shelter that adopted three pets, what's the probability that they got either: three cats or three dogs? Show your calculation and give your single answer as a decimal.

Answers

Answer:

0.0156 probability that they got three cats.

0.4219 probability that they got three dogs.

Step-by-step explanation:

For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three people:

This means that [tex]n = 3[/tex]

What's the probability that they got three cats?

25% of the time it's a cat adopted, which means that [tex]p = 0.25[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]

0.0156 probability that they got three cats.

What's the probability that they got three dogs?

75% of the time it's a dog adopted, which means that [tex]p = 0.75[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219[/tex]

0.4219 probability that they got three dogs.

I’ll give points and brainalist for correct answer / explanation

Answers

Answer:

i think you forgot to attach the image lol

Step-by-step explanation:

The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.

7 x + 12 y = 54. 5 x + 10 y = 60.


Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.

Answers

Answer:

1,3,4

Step-by-step explanation:

:)

Answer:

1,2,3,4

Step-by-step explanation:

i am just smart and dont cheat ;)

Help please I give brainliest serious plz

Answers

Answer:

brainlisdt pplease

Step-by-step explanation:

First is piramid. Last is a trapazoidal prism

A rectangular poster has an area of 26 square feet. It is 4 1/3 feet wide at it's base. What is the height of the poster?

Answers

Answer:

6 square feet

Step-by-step explanation:

Area = L * w

26    =  L * 4 1/3

26  =   L * 13/3

L  = 26 divided by 13/3

L = 26 * 3/13  =  6

answer = 6

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

B

Step-by-step explanation:

B option 2nd histograms  matches with the data given in table...

Given: c=58, b=15, angle B=15 degrees a= ?

a. 60
b. 52
c. 56

Answers

Answer:

c. 56

Step-by-step explanation:

To Find a= it would be opposite of angle A.

We could use trig ratios for this question.

Cos B= a/c

Cos 15= a/58

a = (cos15)(58)

a=56

What is the slope-intercept equation for the line below?
(4, 3)
(0, 1),

Answers

The answer is to the question is D

Answer:D is correct

Step-by-step explanation:

y=1/2x+1

Find the surface area of a basketball with a diameter of 10 in.




400π in²

10π in²

100π in²

25π in²

Answers

Answer:

100 pie

Step-by-step explanation:

Find the surface area of a basketball with a diameter of 10 in.

100π in²

10π in²

400π in²

25π in²

The surface area of the basketball is 100π square inches.

The correct option is C.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The shape of the basketball is spherical.

The diameter of the basketball is 10 inches.

So, the radius of the basketball = 10/2 = 5 inches.

The surface area of the basketball,

= the surface area of the sphere.

= 4πr²

= 4π(5)²

= 2π25

= 4 x 25π

= 100π square inches.

Therefore, the surface area is 100π square inches.

To learn more about the surface area of the sphere;

https://brainly.com/question/14692728

#SPJ6

Which angle measure is a complement of an angle whose measure is 62 degrees?

A 96
B 118
C 16
D 28

Answers

A 96 dint trust me tho
I not sure that’s the answer I got thi

angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.

Answer:

D 28 is your answer

someone help me!! i’ll mark brain list!!

Answers

hello this is super easy i can help you

I’ll give brainalist and points for answer / explanation

Answers

The correct answer is D


Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)

Answers

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

Please can yo help me I am very bad at word problems.

Answers

Answer:

1. 60, 122 feet

2. a + s = 12

6a + 4s = 59

Step-by-step explanation:

I can't do all of them but I'll do the first 2:

1.

let w be the width of the rectangle

Then the length would be 2w + 2

Using those, the perimeter would be:

2w + 2 + 2w +2 + w + w = 364

solving:

[tex]6w + 4 = 364\\6w = 360\\w = 60[/tex]

This means the length would be:

[tex]2(60)+2\\120 + 2\\122[/tex]

2.

let a be the number of adult tickets

let s be the number of student tickets

Then:

The total number of tickets is 12, so:

a + s = 12

And the total cost is 59, so:

6a + 4s = 59

ik this is alot but please help me. ​

Answers

Answer:

help u in what please ask the question so we can anwser

giving brainliest!!
pls help asap *easy*

Answers

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: [tex]\frac{4}{3} \pi r^{2}[/tex]

V = [tex]\frac{4}{3}[/tex] × (3.5)²π

V = [tex]\frac{4}{3}[/tex] × 12.25π

V ≈ 16.333 in³

In deenas class, 3/12 of the students voted for cats as their favorite pet, and 5/12 voted for dogs. What fraction of the class voted for cats or dogs as their favorite pet?

Answers

Answer:

8/12 or 2/3

Step-by-step explanation:

5/12+3/12=8/12

8/12 simplifies to 2/3

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