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

Simplify (3^z)^6 in exponent notation

Answers

Answer:

3^6z

Step-by-step explanation:

you multiply 6 and z since they are exponets and one is in a (

Answer:

3 to the power of 6z of 3^6z

Step-by-step explanation:

If x= 9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

D

Step-by-step explanation:

Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2

how many odd _2-digit positive integers can be written using the numbers 2,4,5, and 8?​

Answers

Answer:

4 different odd integers:  25, 45, 55, 85

Step-by-step explanation:

At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________

Answers

Answer:

Your answer is 31 for 1 shot points, and 45 for 2 shot points.

Step-by-step explanation:

Please help!

6:2(1+2)=??

Answers

[tex]6 \div 2(1 + 2) = 9[/tex]

Explanation :

[tex]6 \div 2(1 + 2)[/tex]

[tex] = 3(3)[/tex]

[tex] = 9[/tex]

alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it


i need this awnser

Answers

117°

same side interior angles theorem

f(x)=−x 2 −4x−19 find f(-9)

Answers

Answer= Let f" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">ff be the function defined by

f(x)=x2−4x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">f(x)=x2−4xf(x)=x2−4x

for x≥2" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x≥2x≥2. Find the inverse function indicating its domain and the range.

When I try to make x" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">xx the subject I get +" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">++and −" role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: left; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">−− two answers for the inverse function. Is it the proper answer? The answer I got is

x=2±y+4." role="presentation" style="box-sizing: inherit; margin: 0px; padding: 0px; border: 0px; font-style: normal; font-variant: inherit; font-weight: normal; font-stretch: inherit; line-height: normal; font-family: inherit; font-size: 15px; vertical-align: baseline; display: inline; text-indent: 0px; text-align: center; text-transform: none; letter-spacing: normal; word-spacing: normal; overflow-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; position: relative;">x=2±y+4−−−−√.x=2±y+4.

Is it correct and how do I determine the domain and range of the function? Thanks

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

Can somebody help me with this one?

Answers

since BD bisects the angle, both sides are equal

6x=5x+10
subtract 5x from both sides
x = 10

answer: x=10

Journal: Explain how you can check your answers on algebraic equations to know that you are right! Example: 2x = 12*

um if someone could help that would be great this one is not a big deal;-;​

Answers

2x = 12
x= 12/2
x=6
Made

BRAILIEST for correct answer!! Pls help
What's the slope of a line that passes through (−12,15) and (0,4)?

Answers

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

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

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

what is 2247 divided by 7 ​

Answers

and 8

Step-by-step explanation:

and and and and and and and and and 8

Answer is 321
Hope this helps

The difference between double a number and 4 is 16

Answers

Answer:

2x - 4 = 16

Step-by-step explanation:

'the difference' shows that its subtraction so u have to put a - in the equation

'double' means 2 and since you dont know the value of 'a number' you replace it with a variable like x. combine them and you get 2x

so far it should look like 2x -

4 is equal to 4 so just put a 4 in front of the subtraction sign

it'll look like 2x - 4 now

'is 16' basically means is equal to 16 so now ur equation should look like:

2x - 4 = 16

if you wanted to solve that u could add 4 to both sides then divide both sides by 2 and get x = 10

Answer:

x = 10

Step-by-step explanation:

2x - 4 = 16

2x = 20

x = 10

Hope that helps!

Pls help extra points and mark brainlist

Answers

Answer:

80 + 30h

Step-by-step explanation:

(10 * 8) + (10 * 3h)

=80 + 30h

[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.

[tex]\tt 10*8=80\\10*3h=30h[/tex]

Then, we add them together to get the answer.

[tex]\tt 80+30h[/tex]

CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.

Answers

Answer:

55.9

Step-by-step explanation:

The ball takes 3 seconds to go up 55.9 meters.

3^2=9

-4.9 x 9 = -44.1

30 x 3 = 90

-44.1 + 90 = 45.9

45.9 + 10 = 55.9

Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save

Answers

Answer:

$42

Step-by-step explanation:

7/14=1/2 so he saved 1/2 of 84

Brady is conducting an experiment using a spinner with four different colors: red, orange, blue, and green. He spun the spinner 40 times and recorded the following data.



Based on the data in the table, if Brady spins the spinner 240 times, he predicts the spinner will land on red roughly A. 48, B. 24, C. 12, D. 36 times. He also predicts the spinner will land on green roughly A. 108, B. 72, C. 48, D. 36
more times than it will land on red.

Answers

Answer:

out of 240, the prediction of landing on Red would be 36

out of 240, the prediction of landing on Green would be 108

Step-by-step explanation:

out of 240, the prediction of landing on Red would be 36 because:

240 x 0.15 = 36

out of 240, the prediction of landing on Green would be 108 because:

240 x 0.45 = 108

Hello - I'm trying to find the answer for $6,000 x 10% x (1/12) to find the monthly interest rate

Answers

Answer:600

Step-by-step explanation:

Make the number 6 x 1000

Take 10% of the 1000

Now put the 6 and the 100 together

Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?

Answers

Answer:

5 Miles

Step-by-step explanation:

First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.

Answer: How many miles can he run in one hour?

six miles

But for a normal person it's one mile per 10 minutes or about six miles per hour.

8. Which of the following Mathematical expressions is equivalent to a cubed of a number x increased by
ten" ?
A. 3x + 10
B. 10x3
C. x3 – 10
D. x3 + 10​

Answers

Answer:

B

Step-by-step explanation:

Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how old is Jennie to which Jennie replied “In two years I will be twice as old as I was three years ago”. How old is Jennie?​

Answers

I believe she is 6 I am not positive about it

exact volume of this cylinder ​

Answers

I am taking this quiz but I'm pretty sure its....c

Answer:

Volume=πr2h=π·42·8≈402.12386

Step-by-step explanation:

For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3

Answers

It’s B you would multiply

Mr. Arnold's class children make hand prints in the round clay mold for their parents the mall has a diameter of 12 cm what is the molds radius

Answers

Answer:

6

Step-by-step explanation:

the radius is half of the diameter

hope this helped :)

16/20 – 1/4 =


I need help please thank you

Answers

Answer:

11 / 20

Step-by-step explanation:

16 / 20 - 1×5 / 4×5

16 / 20 - 5 / 20

16 - 5 / 20

= 11 / 20

Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?

URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

25% of the board is covered with checker pieces.

Step-by-step explanation:

Answer:

If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%

Step-by-step explanation:

8/64 or 16/64

Sorry if the picture is scuffed. Pls help fast

Answers

Answer:

C

Step-by-step explanation:

the domain would be all positive real numbers, including zero

Match the event with the most appropriate probability word: The roll
a standard fair dice will show the square root of 49.
Impossible
Unlikely
Certain
Evens
Likely
Other:

Answers

Answer:

Impossible

Step-by-step explanation:

Impossible is the answer as the root of 49 is 7 and dice has numbers up till six only

I NEED HELP ASAP how do you solve -2x(3y +9) in the distributive property pls thank you

Answers

Answer:

-6xy-18x

Step-by-step explanation:

To solve -2x(3y+9), multiply -2x by 3y and 9.

-2x(3y)+-2x(9)

Solve

-6xy-18x

Answer:

-24 i think

Step-by-step explanation:

ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:​

Answers

Answer:

20 boys in the class

Step-by-step explanation:

40% of 50 is 20

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