consider the line y=6/7x-7

find the equation of the line that is perpendicular to the line and passes through the points (6,3)

find the equation of the line that is parallelto the line and passes through the points (6,3) ​

Answers

Answer 1

Answer:

y = -7/6x + b

Step-by-step explanation:

Perpendicular lines require the reciprocal of the slope and opposite sign to the original slope. Then, you substitute the x and y coordinates into the equation to find the y-intercept. Done.

y = 6/7x -7     (6,3)

y = -7/6x + b

3 = -7/6(6) + b

3 = -7 + b

7     7

10 = b

y = -7/6x + b

Answer 2

Answer:

see below

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 6/7x. Its slope is (6/7). A line perpendicular to this one will  have a slope of -7/6.

Plug this value (-7/6) into your standard point-slope equation of y = mx + b.

y = -7/6x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -7/6(6) + b

To find b, multiply the slope and the input of x (6)

3 = -42/6 + b

3 = -7 + b

Now, add 7 to both sides to isolate b.

10 = b

Plug this into your standard equation.

y = -7/6x + 10

This equation is perpendicular to your given equation (y = 6/7x -7) and contains point (6, 3)

If two lines are parallel to each other, they have the same slope.

The first line is y = 6/7x - 7. Its slope is (6/7). A line parallel to this one will also have a slope of 6/7.

Plug this value (6/7) into your standard point-slope equation of y = mx + b.

y = 6/7x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (6, 3). Plug in the x and y values into the x and y of the standard equation.

3 = 6/7(6) + b

To find b, multiply the slope and the input of x (6)

3 = 36/7 + b

Now, subtract 36/7 to both sides to isolate b. To make this easier to visualize, convert 3 to have a denominator of 7.

21/7 - 36/7 = b

-15/7 = b

Plug this into your standard equation.

y = 6/7x - 15/7

This equation is parallel to your given equation (y = 6/7x - 7) and contains point (6, 3)

Hope this helps!


Related Questions

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Answers

4^3

Hope this helps!!!!

Find the radius and the diameter to the nearest hundredth when C = 7π yd. Use 3.14 for π.
60 POINTS PLEASE GIVE VALID ANSWER

Answers

Answer:

Diameter = 7

Radius = 3.5

Step-by-step explanation:

Hi! Ace here.

So, the formula to find circumference is dπ or 2rπ

So to find the diameter, you do the circumference/π

To find the radius, you'd do the circumference/2π

Plug-in those numbers and there you go!

Hope this helps, let me know if you have any questions.

I know this was a very vague explanation so I encourage you to ask any questions. Thank you!

Someone help me it's due right now help please helpppppppp

Answers

Answer:

The answer is c

the line needs to start at $5 then go up in increments of $2 each hour after. Time is in 2 hour blocks, meaning each block should increase by $4

find the area of EFG​

Answers

Answer:

12ft

Step-by-step explanation:

help its pre- algebra

Answers

Answer:

bananas: 2480

plantains: 20

Step-by-step explanation:

equations:

b+p=2500

b=124p

just plug then in and solve

Answer:

20 plantains and 2480 bananas

Step-by-step explanation (b is bananas + p is plantains):

2500 = b+p

b=124*p

2500=(124*p)+p

2500=125p (divide by 125)

20=p

b=124(20)

b=2480.

20

Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.​

Answers

Answer:

4 miles/1 day=56 miles/X days

X=56/4=14

Step-by-step explanation:

Answer:

She runs 14 miles.

explanation:

I got it right on my test (before I saw the other answer).

There are 285 sixth graders going on a class trip to the museum.each bus can hold
25 students. How many buses will be needed to transport all the students? Will all the buses be fuller? If not how many students will be on the last bus.
the buses be filled? If not, how many stuc

Answers

Answer:

12 Busses

10 in the last bus

Step-by-step explanation:

275 in 11 busses and 10 in 12th bus


pa^2 + qb^2 + pb^2 + qa^2​

Answers

Answer:

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if_ is added to a number, the sum will remain the same. Hence _ is called the _in the whole number​

Answers

Answer:

Step-by-step explanation:

If 0 is added to a number, the sum will remain the same.

I Need The Awnsers For This

Answers

Answer: m<2= 126 and is supplementary angle

Consider C = {vowels in the word "clinic"}. Find n (C)

A. 6

B. 4

C. 2

D. 12

Answers

Answer:

D galiba ama emin değilim

Answer:

C. 2

Step-by-step explanation:

As you know

Vowels are a , e , i , o , u

"Cl 'i' n 'i' c" so that's 2

3x+4x+5x= need help asap​

Answers

Answer:

12x

Step-by-step explanation:

3 + 4 + 5 = 12

Answer:

12x

Step-by-step explanation:

we add all of them and we get 12x

What is the exact circumference of a circle with a radius of 15 cm?

A. 107 cm

B. 157 cm

C. 307 cm

D. 60 cm​

Answers

Step-by-step explanation:

Given. radius (r) = 15 cm

Circumference (C)

= 2 π r

= 2 * 3.14 * 15

= 94.2 CM

I Got this answer.....

I got 94.25 cm. Are those the only options?

Subtract the expressions.
(5j-2q+2/5) - (4-3j-1/2q)

Answers

The answer is,

[tex]8j - \frac{3q}{2} - \frac{18}{5} [/tex]

Zoo tickets cost seven dollars a person if the zoo brought in 1302 on Friday how many people visited that

Answers

Answer:

the awnser would be. 1302÷7=186

Step-by-step explanation:

you divide.

Answer: 186 people

1302 ÷ 7 = 186

I need help!
Benjamin had 1/3 of a can of paint left after he painted his room. Instead of throwing it away, he decided to use 3/4 of the remaining paint to make a picture for his sister. How much of the paint will he use to make the picture for his sister?

Answers

Answer:

1/4 of a can

Step-by-step explanation:

He had 1/3 of a can.

He used 3/4 of the 1/3 of the can.

He used 3/4 * 1/3 of a can.

3/4 * 1/3 = 3/12 = 1/4

Answer: 1/4 of a can

What percent of the crimes in 2000 were robberies if robberies were 408,016, burglaries were 2,050,992, larceny was 6,971,590 and vehicle thefts were 1,160,002?

Answers

Answer:

3.9%

Step-by-step explanation:

Total number of crimes = 408016 + 2050992 + 6971590 + 1160002 = 10590600

percent of robberies = 408016/10590600 = .038526 ≅ 3.9%

What is the slope of the line shown below?

Answers

Answer:

you've gotta show us the slope so that we can help u

Find the length of the missing side.
13
B
A
5
A) 13.9
B
7.
© 11
D) 12
E Not enough information.

Answers

Answer:

D

Step-by-step explanation:

12 cm,

Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides

So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.

Square root of 144 is the length of the missing side, i.e. 12 cm.

the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5

Answers

Answer:

option one

Step-by-step explanation:

the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3

Rosa bought 90 feet of rope for ​$20.70. She needs 50 more feet. If the unit price is the​ same, how much will she pay for the extra 50 feet of rope​?

Answers

Answer:

she will pay 11.50 for the extra rope

if

sin150°=1/2 fiind sin75°​

Answers

Answer:

thank u for free points

Step-by-step explanation:

......

Which of the following gives the correct negation of the statement "P: x is an even number"?
Question 2 options:

A)

P: ∼x is not an even number.

B)

∼P: x is an even number.

C)

P: ∼x is an even number.

D)

∼P: x is not an even number.

Answers

Answer:

The answer is D

Step-by-step explanation:

The negation of a statement has the opposite meaning of the original statement. The negation of a statement is formed by adding the word “not”.

Consider statement P again:

P: x is greater than 9.

The negation of P is:

∼P: x is not greater than 9.

Note that the symbol ∼ is used before a statement to show that it's a negation.

The negation of the statement is x is an odd number or x is not an even number.

What is Conditional Statement?

A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

We have,

P: x is an even number.

As, Negation indicates that the conditional statement's statement is false.

Conditional:  P: x is an even number.

Negation:  ~P: x is an odd number or x is not an even number.

Learn more about Conditional Statement here:

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Pls help !! Due in 30 minutes !! Seiko takes pottery classes from two different studios. Paula's Pottery charges $18 for clay and charges $10 per hour.
Sally's Ceramics charges $4 for clay and charges $12 per hour. After how many hours will the studios cost the same?

Answers

After 7 hours the studios will cost the same

6/10 times 1/5 pls hurry

Answers

Answer:

is your answer 6/50

Step-by-step explanation:

6/10 X 1/5 = 6/50

A rectangle has a width of 9 km and a length of 6 km. How does the area change when each dimension is multiplied by 3? The area is increased by a factor of 3. The area is increased by a factor of 6. The area is increased by a factor of 9. The area is increased by a factor of 18.

Answers

Answer:

The answer is increased by 9

Step-by-step explanation:

How much WORK is done when you push on a wall with 500 N, and the wall moves 0.5 m?

Answers

Answer:

the amount of work that is done when the wall is moving 0.5 m is 250 jewels

Step-by-step explanation:

1) write out the equation

(W=F×d)

2) plug in the numbers into the equation

W= F×d= 500 ×0.5 m

3) solve the problem

W=F×d=500 × 0.5m =250 jewels

PLEASE HELP ASAP!!!
Which is a solution to the following system of inequalities?
4x - 3y<9
x+3y>6

А(-2, 1)

B(3, 1)

C(0,4)

D(1,1)

Answers

Answer:

B.

Step-by-step explanation:

its the same as saying..

4x - 3y = 9

x + 3y = 6

add both equation together

5x = 15

i.e X = 3

substitute x= 3 in equation 2

3 + 3y = 6

3y = 3

divide both sides by 3

y = 1

What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?
A. 13, 21, 29
B. 22, 29, 36
C. 15, 22, 29
D. 8, 15, 22

Answers

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

Answer:

A

Step-by-step explanation:

u subtract each number by 8 then once u get to 5 u start adding them all by 8

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Answers

Answer: C= 26

Step-by-step explanation:

24^2+10^2=26^2

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