write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18)

need this for test

Answers

Answer 1

Answer:

[tex]y-6=-\frac3{13}(x-5)[/tex]

Step-by-step explanation:

Get the slope of the line between the two points. As usual, [tex]m= \frac{\Delta y}{\Delta x}= \frac{8-(-18)}{4-(-2)}=\frac{8+18}{4+2}=\frac{26}{6}=\frac{13}3[/tex]

You want the perpendicular to it, so take it's inverse and change its sign:

[tex]m_p=-\frac3{13}[/tex]

At this point, it's just using the point-slope form, and you're done - unless you're required to provide the line in a specific way, which usually means just crunching numbers and rewriting the equation

[tex]y-y_0=m_p(x-x_0)\\y-6=-\frac3{13}(x-5)[/tex]

Answer 2

Answer:

y=-3/13x+7.15384615385

Step-by-step explanation:

y=mx+b

We want to find the slope first so will find the slope of the line that is perpendicular to our line.

y2-y1/x2-x1

-18-8/-2-4=

-26/-6=

13/3

The slope of the other line is 13/3

To find the slope of our line we can do the opposite reciprocal of 13/3 which is -3/13.

Let's plug that in with the other values to find y-intercept

6=-3/13*5+b

6=-1.15384615385+b

b=7.15384615385

I have no idea why our number is super weird but um yea


Related Questions

Alright, -3r + 4(-3r + 2) = 53 how do I break it down and solve??

Answers

Answer:

r = -3

Step-by-step explanation:

-3r + 4(-3r +2) = 53

-3r + -12r + 8 = 53

                -8     -8

-3r + -12r = 45

-15r = 45

Divide both sides by -15 to get

r = -3

Answer:

r = -3

Step-by-step explanation:

expand 4(-3r+2)

= -12r+8

add similar variables

= -15r+8=53

subtract 8 from both sides

= -15r+8-8=53-8

simplify

= -15r=45

divide 45 by -15

= -3

scale factor of 2 to 3.5 inches

Answers

the answer is 1.75 because 3.5/2 is 1.75

Two consecutive vertices of a regular octagon are located at (1, 4) and (4,8). This octagon's perimeter is.....?

Answers

Answer:

40 units

Step-by-step explanation:

An octagon is a polygon with 8 sides. A regular octagon is an octagon in which all their sides and angles are equal to each other.

Since the vertices of a regular octagon are located at (1, 4) and (4,8), hence the length of the side is gotten using the formula for calculating the distance between two points [tex]X(x_1,y_1)\ and\ Y (x_2,y_2)[/tex].

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

Hence:

[tex]Length=\sqrt{(4-1)^2+(8-4)^2}=5\ units[/tex]

Since all the sides of a regular octagon are equal, therefore:

Perimeter = 8 × length = 8 × 5 = 40 units

Utilizando la equivalencia indicada, resuelve el siguiente ejercicio:



1 galón = 3.785 litros

42 galones = ____ litros

Answers

Answer:

158.97 litros

Step-by-step explanation:

Multiply 42 by 3.785 to get 158.97.

Solo le multiplicas 3.785 litros x42 y te sale 158.97


First, rewrite 17/25 and 7/10
so that they have a common denominator.

Answers

Answer:

85/50. 35/50

You would times 17/25 by 5 and you would get 85/50 which would simplify to 1 35/50

you would multiply 7/10 by 5 to get 35/50

Please help me solve this I will give u brainlst :)

Answers

Equation: 2(.25) + p(.75) = 2.75
Answer: 3 pencils

Make w the subject of the relation p=2 (k+w)​

Answers

Answer:

hope that will help you

Answer:

w = ( p - 2k )/2

Step-by-step explanation:

Hi there !

p = 2(k + w)

2k + 2w = p

2w = p - 2k

w = ( p - 2k )/2

Good luck !

An object is moving at a speed of 6 miles per month. Express this speed in feet per hour

Answers

Answer:

44 feet/hour

Step-by-step explanation:

6mi/month(5280ft/1mi)(1month/30days)(1day/24hrs)

Assuming the month has 30 days, object moves at 44 feet/hour. You want all the units to cancel till you get the ones you need, in this case feet/hr.

Describe the Transformation and CHOOSE ALL THE
CORRECT ANSWERS! (MORE THAN 1 RIGHT
ANSWER).
f(x) = -2(x+3) 3 - 3

Answers

since f(x) does not have a value, it’s going to be 0. 0= -2(x+3)3-3, multiply the 3 and -2 0=-6(x+3)-3, 0=-6x-18-3, 6x+0=-6x-21+6x, 6x/6=-21/6, x= -7/2

For each of the following questions, say whether the random process is a binomial process or not, and explain your answer. As part of your explanation, you will want to comment on the potential validity of each of the four things that must be true for a process to be a binomial process.

a. One basketball player attempts 10 free throws and the number of successful attempts is totalled.
b. Ten different basketball players each attempt 1 free throw and the total number of successful attempts is totalled.

Answers

Answer:

a

This process follows is a binomial  process

b

This process is not a binomial  process

Step-by-step explanation:

Considering the first statement

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

  This process is a binomial  process because

The  number of trials is  finite Each trial  is independent of the other There is only two possible outcome  (make a basket and make no basket The probability of making a basket and not making a basket is constant throughout the trials

One basketball player attempts 10 free throws and the number of successful attempts is totaled.

   This process is not  a binomial  process because chance that is the probability of success and failure will remain constant throughout the trial is not equal (what this means is that given the number of player is more than on their probability of success and failure will differ.)

   

in 3 1/2 months John collected a debt of $70.00. What was the average amount of debt John collected per month?​

Answers

Answer:

The average amount of debt John collected per month is $20/ month

Step-by-step explanation:

Given;

total debt collected by John, = $70.00

total number of months, = 3 1/2 months  = 7/2 months

The average amount of debt John collected per month is given by;

[tex]Average \ amount \ per \ month = \frac{Total \ amount \ of \ debt}{total \ number \ of \ months} \\\\Average \ amount \ per \ month =\frac{70}{1} *(\frac{2}{7} )\\\\Average \ amount \ per \ month = \$20 \ / month[/tex]

Therefore, the average amount of debt John collected per month is $20/ month

quotient of Fraction 3 over 4 divided byFraction 3 over 4 .

Answers

Answer:

1

Step-by-step explanation:

The equation would look like this: ¾ ÷ ¾

When dividing fractions, you always flip the second one to receive the reciprocal, so the equation now looks like this: ¾ ÷ 4/3

If you cross simplify, the answer will end up being 1.

Juanita has fewer than 80 coins in her coin collection. She noticed that she can divide her coins evenly into groups of 3, 5, 15, or 25.​

How many coins does she have?

Answers

Find the LCM

3 = 3 times 1

5 = 5 times 1

15 = 5 times 3

25 = 5 times 5

Because they have one 5 and one 3 in common...

5 times 3 times 5 = 75.

She has 75 coins.

How do you do this question?

Answers

Answer: Choice A

Explanation:

The sequence converges to a nonzero value, so as n gets very large, the partial sums will grow forever (since we're effectively adding at least 1 to each term regardless how large n gets)

The reason why [tex]s_n[/tex] approaches 1 is because the 1/n term goes to 0 when n gets very large.

what is Hola, soy el chico nuevo de la clase y me gustan los coches, in english, and what is 100x100x38

Answers

Answer:380000

Step-by-step explanation:

Answer:

Hi, I'm the new kid in class and I like cars AND 380000

Step-by-step explanation:

Need help!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  a) GH or HG

  b) KL

  c) YZ or ZY

  d) EF

Step-by-step explanation:

A segment or line can be named by naming two points on it in any order. The points naming a line segment are its end points.

A ray is named by first naming its end point, then any other point on the ray.

a) GH or HG

b) KL

c) YZ or ZY

d) EF

Find the product.
(36 + 4) (262 – 6 + 4)

Answers

Answer:

10,400

Step-by-step explanation:

(36+4)= 40

(262-6+4)= 260

(40)(260)= 10,400

Answer:

10,400

Step-by-step explanation:

Add 36 + 4

40

Now we do the second parentheses.

262 - 6 = 256

256 + 4 = 260

Now we multiply.

40 multiplied by 260 = 10,400

Hope I helped :)

Please consider Brainliest :)

Select each transformation that carries a square onto itself.

Answers

Answer:

b,c,d

Step-by-step explanation:

cus I said so and it's right

16. Solve the equation by factoring.
2² - 62-27=0

a. z = 3 or z = 9
b. z = 3 or z = -9
c. z = -3 or z = -9
d. z = -3 or z = 9

Answers

Answer:

Step-by-step explanation:

B

Sarah is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters?

A. 150 millimeters
B. 1,500 millimeters
C. 100 millimeters
D. 1,000 millimeters

Answers

Answer:

B. 1,500 millimeters

The value of 2 in 724,638, is 20,00p?

Answers

Step-by-step explanation:

total value would be 20,000

place value is hundreds of thousands

that's my opinion cuz I didn't fully understand it but I tried thanks

HELP QUICK WILL GIVE BRAINLIEST

Answers

Step-by-step explanation:

Given the graph of the absolute value function below write the function in the form?

Answers

Answer:

g(x)=|(2)(x+4)|-2

Step-by-step explanation:

B=0.5

h= -4

k= -2

Check all of the irrational numbers.

Answers

Answer:

√36, √17, 0.33333...., 1.2874....

Step-by-step explanation:

irrational numbers - a number that cannot be exactly expressed as a ratio of two integers.

y-intercept of (-2,2) and (-5,-4)

Answers

Answer:

-8

Step-by-step explanation:

NOBODY IS ANSWERING THIS PLEASE PLEASE PLEASE ANSWER ILL LOVE YOU FOREVER
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

It looks right

sorry if it’s wrong

what is the answer of the question I need urgent answer please ​

Answers

Step-by-step explanation:

therefore the answer is 25/9

describe how you can
identify if two lines are coinciding using substitution, elimination, and/or
graphing methods? *

Answers

Using Substitution:

To use substitution to identify if two lines intersect,

1. Rearrange one of the two given equations so that only one variable is on one side of the equation with all other values on the other side of the equation. (if needed)

2. Plug this new equation into the other (in place of a variable)

3. Solve the equation to get the answer of one of the variables

4. Plug this variable into one of the two original equations and solve for the second variable (if needed)

5. Plug both variables back into one of the original equations. If both sides of the equation are equal, the two lines do coincide.

Example:

Equation 1: 2x+3y=9

Equation 2: x+8=3

1. Rearrange equation 2

x+8=3

x=3-8

x=-5

2. Plug -5 into the first equation as x

2x+3y=9

2(-5)+3y=9

3. Solve this equation

-10+3y=9

3y=9+10

3y=19

y=[tex]\frac{19}{3}[/tex]

4. Plug x and y back into the first equation

2x+3y=9

2(-5)+3([tex]\frac{19}{3}[/tex])=9

-10+19=9

9=9

Therefore, these two lines do coincide. The point of intersection is (-5,[tex]\frac{19}{3}[/tex]).

Using Elimination:

To use elimination to identify if two lines intersect:

1. Multiply one or both of the equations by a factor so both equations have either an x or y coefficient that are equal or opposite of each other (if needed)

2. Add or subtract the two equations to get rid of one variable

3. Solve this new equation for a variable

4. Substitute this variable into one of the two equations to solve for the other

5. Plug both variables back into one of the equations. If both sides are equal, the two lines do coincide.

Example:

Equation 1: 2x+3y=4

Equation 2: 4x+2y=3

1. For this specific system of equations, we would multiply the first equation by 2.

2x+3y=4

4x+6y=8

Notice how now, both equations have 4x in them, so we can subtract them:

2. Subtract the new equation from the second original equation

 4x+6y=8

- 4x+2y=3

       4y=5

3. Solve

4y=5

y=[tex]\frac{5}{4}[/tex]

3. Substitute y back into the first equations (any of the two equations will work) to solve for x

2x+3y=4

2x+3([tex]\frac{5}{4}[/tex])=4

2x+[tex]\frac{15}{4}[/tex]=4

2x=4-[tex]\frac{15}{4}[/tex]

2x=[tex]\frac{16}{4}[/tex]-[tex]\frac{15}{4}[/tex]

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

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

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

x=[tex]\frac{1}{8}[/tex]

4. Plug both variables back into the first equation (either equation works)

2x+3y=4

2([tex]\frac{1}{8}[/tex])+3([tex]\frac{5}{4}[/tex])=4

[tex]\frac{1}{4}[/tex]+[tex]\frac{15}{4}[/tex]=4

[tex]\frac{16}{4}[/tex]=4

4=4

Since the left side equals the right side, the two lines are coinciding.

Using Graphing Methods:

To use graphing methods to identify if two lines coincide, we would just have to graph the line and identify if the two lines meet at a point of intersection/overlap each other.

I hope this helps!

Correct pair

3x+5y=6
4x+2y=-6

Answers

Answer:

Step-by-step explanation:

6x + 10y = 12

-20x - 10y = 30

-14x = 42

x = -3

4(-3) + 2y = -6

-12 + 2y = -6

2y = 6

y = 3

(-3, 3)

=
Drag up the correct symbol to make each statement true.

Answers

Answer:

1. >

2.>

3.<

4. <

Step-by-step explanation:

I am doing it from top to bottom

I hope this helps! :)

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