Write an equation of a line through (5,6) and perpendicular to the line through (4,8) and (-2,-18). please help, will mark brainliest. You also get 10 points

Answers

Answer 1

Answer:

y = 4 1/3x+ 6  

Step-by-step explanation:

Step 1. The slope-intercept form is given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs at x=0 or point (0,b).

-18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  =  y=4 1/3 x+b

Step 2. -18 -8 / -2 - 4 =  -26 / -6  = 4 1/3  perp = - 4 1/3  is a vertical line or parallel to the y-axis. So a line perpendicular to x= 4 1/3  is a horizontal line parallel to the x-axis.

Step 3. Therefore y= 4 1/3  is a horizontal line parallel to the x-axis. Now, the line needs to pass through point (5,6) or x=5 and y=6. Then, y=b=6 or y=6 is the equation of the line. but then  x = 4 1/3   so y = 4 1/3x + 6  

Step 4. ANSWER: The equation is  y = 4 1/3x+ 6  where slope m=4 1/3 and y intercept b=6.  


Related Questions

[tex]\sqrt{-(-9)^2}[/tex]

Answers

See attachment for answer and explanation.

Evaluate the integral of
X-1/ (x+1) (x^3 + x^2 + x )^0.5

:)

Answers

Add and subtract 1 in the numerator then cancel x-1
Remains 2 / (x^3 + x^2 +x)^0.5
Take root x outside then complete the square
You will find the answer

how to write a sine function that has an amplitude of 5 a midline of 4 and a period of 2/7

Answers

Answer:

sin(kx) has period 2π/k so, you want 2 + 5sin(16π/7 x)

Step-by-step explanation:

Which is the following is equivalent to sin 35 ?
Answers A-D
A
COS 35
B COS 55
Csin 55
Dtan 35

Answers

Answer:

1

Step-by-step explanation:

=sin 55 cos 35 + cos 55 sin 35 =sin (55+35)=sin 90=1

Suppose that 12 inches of wire costs 36 cents.
At the same rate, how much (in cents) will 47 inches of wire cost?

Answers

1 inches = 3 cents
47 inches = 47 x 3 = 141 cents

(1.8 dollars)/(1 euro) = (x dollars)/(200 euros)

Answers

Answer:

300 dollars

Step-by-step explanation:

$1.8=£1/x dollars=£200

cross multiplying

x=200×1.8

x=$360

Answer:

218.26

Step-by-step explanation:

1 [tex]\frac{913}{10000}[/tex]  USD = 1 EURO.

I calculated it on E to USD calculator.

The Internal Revenue Service (IRS) provides a toll-free help line for taxpayers to call in and get answers to questions as they prepare their tax returns. In recent years, the IRS has been inundated with taxpayer calls and has redesigned its phone service as well as posting answers to frequently asked questions on its website (The Cincinnati Enquirer, January 7, 2010). According to a report by a taxpayer advocate, callers using the new system can expect to wait on hold for an unreasonably long time of 15 minutes before being able to talk to an IRS employee. Suppose you select a sample of 50 callers after the new phone service has been implemented; the sample results show a mean waiting time of 13 minutes before an IRS employee comes on line. Based upon data from past years, you decide it is reasonable to assume that the standard deviation of waiting times is 11 minutes. Use α=0.05

Required:
a. State the hypotheses.
b. What is the p-value?
c. Using α=0.05, can you conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Answers

Answer:

a)Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

b)p value = 0.1003

c)We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

Step-by-step explanation:

Null hypothesis : [tex]H_0:\mu \geq 15[/tex]

Alternate hypothesis : [tex]H_a:\mu < 15[/tex]

[tex]\mu = 15\\\bar{x}=13\\\sigma = 11\\n = 50[/tex]

Sample size is more than 30 . So, we will use Z test

[tex]Z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}\\Z=\frac{13-15}{\frac{11}{\sqrt{50}}}\\Z=-1.285[/tex]

Use z table to find p value

p value = 0.1003

α=0.05

p value<  α

So, we reject null hypothesis

Hence We can conclude that the actual mean waiting time is significantly less than the claim of 15 minutes made by the taxpayer advocate.

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Answers

Answer:

GHJK=-240

Step-by-step explanation:

G=-4

H=-2

J=-6

K=5

[tex]-4*-2*-6*5=-240[/tex]

GHJK=-240

I think this is how you do it????

Answer:

-240

Step-by-step explanation:

Given;

evaluate ghjk if g=-4,h=-2,j=-6,and k =5

Substitute:

GHJK ⇒ (-4)(-2)(-6)(5)

(-4)(-2)(-6)(5)

(8)(-6)(5)

-48(5)

-240

~Learn with Lenvy~

Writing Linear Equations

Answers

Answer:

1.  y=-3x+7

2.  y=3/4x+10

3. y=-5x-2

4. y=12x-6

5. y=1/2x+9

Step-by-step explanation:

for numbers 2, 4, 3, and 5 all you have to do is look at the slope they give you. in a linear equation (y=mx+b) the m is the slope. because there is only one equation with the slope they give you, that is the corresponding answer. but for 1, its a bit more complicated. because they give you a point you have to plug the x value into your equation. for exaple for 1. they give you 0 as the x value so you plug it into one of the equations. and if that equation gives you 7 as the y, then you have your answer.

Which is a tangent of circle P?pls helpt ASAP!!!!

Answers

Answer: Choice C)  line n

Explanation:

Tangent lines touch the circle at exactly one point.

WILL GIVE BRAINLIEST WILL GIVE BRAINLIEST

Answers

Answer:

9

Step-by-step explanation:

The correct answer would be 9

circumference of a clock with the radius of 16 centimeters?

Answers

Answer:

100.5309649cm

Step-by-step explanation:

The formula for the circumference of a circle is:

2πr

if the radius is 16cm, we just need to substitute 16 for r:

2π(16)

= 32π

= 100.5309649cm

You can round this however you like, however I would recommend doing either 3 significant figures either 2 or 3 decimals places :)

can i please get some help!!

Answers

Answer:

3 cis(43)

Step-by-step explanation:

When we divide number in polar form, we divide the modulus, and subtract the degrees.

36/12=3

45-2=43

3 cis(43)

3. Mrs. Galicia started a savings account for her family and started it with an initial deposit of $1600. The account earns 3.75% interest compounded quarterly.
(a) Write an equation to represent the anount of money in the account as a function of time in years.
(b) How much money will be present in the account in 5 years. *please show plug in step*

Answers

Hey there!

--› Initial deposit: 1600

--› rate = 3.75%

a) First, convert R as a percent to r as a decimal

r = R/100

r = 3.75/100

r = 0.0375 rate per year,

Substitute into formula

= A = P(1 + r/n)nt

A = P(1 + 0.0375/4)^4t

A = 1,600.00(1 + 0.009375)^4t

b)

A = 1,600.00(1 + 0.009375)^4t

A = 1,600.00(1 + 0.009375)^4(5)

A = 1,600.00(1 + 0.009375)^(20)

A = $1,928.28

The amount of money that will be present in the account in 5 years is P(5) = $1923.36

Exponential equations

The standard exponential equations is expressed as:

p(t) = p0(1+r)^t

where:

Po is the initial deposit = $1600Rate "r" =3.75% = 0.0375time "t" = 5 years

Substitute

P(t) =1600(1+ 0.0375)^t
P(t) = 1600 (1.0375)^t

Hence the equation to represent the aount of money in the account as a function of time in years is P(t) = 1600 (1.0375)^t

If t =5 years

P(t) = 1600 (1.0375)^t

P(t) = 1600 (1.0375)^5
P(5) = $1923.36

Hence the amount of money that will be present in the account in 5 years is P(5) = $1923.36

learn more on compound interest here: https://brainly.com/question/24924853

#SPJ2

The radius of a circle is 2 centimeters. What is the circle's area?

Answers

Answer:

12.56

Step-by-step explanation:

2x2=4

4×3.14=12.56

area = 12.56

Solve the following equation, and check your solution. Be sure to show all work in order to receive full credit.

Solve -17 + n/5 = 33. steps plsss

Answers

Answer:

17=n<

Step-by-step explanation:

17

Answer:

Step-by-step explanation:

17+ n/5=33

17+33-n/5

N= 50..

50/5

In a closely contested school bond election, polling indicates that 50% of voters are in favor of the bond. Assume central limit theorem conditions apply. Suppose a random sample of 80 voters is selected

Answers

The central limit theorem is used to consider sample sizes of at least 30

The mean of the distribution is 40, and the standard deviation is 4.47

How to determine the mean

The given parameters as:

p =50% --- the proportion

n = 80 --- the sample size

The mean is then calculated as:

[tex]\bar x =np[/tex]

So, we have:

[tex]\bar x =80 * 50\%[/tex]

[tex]\bar x =40[/tex]

How to determine the standard deviation

The standard deviation is calculated as:

[tex]\sigma = \sqrt{np(1 -p)[/tex]

So, we have:

[tex]\sigma = \sqrt{80 *50\% * (1 - 50\%)[/tex]

Evaluate the root

[tex]\sigma = 4.47[/tex]

Hence, the mean of the distribution is 40, and the standard deviation is 4.47

Read more about the central limit theorem at:

https://brainly.com/question/17186021

The value of 8 in 5.18 of the value of 8 in 5.81

Answers

Answer:

the value of 8 in the first one is 8

in the second one is 80

Find the slope of the line graphed

Answers

Answer:

1. 5/-2

2. 0/1

3. 6/2

Step-by-step explanation:

rise/run when calculating slope

In AUVW, u = 55 inches, w = 43 inches and angle W=134^ . Find all possible values of angle U , to the nearest degree .

Answers

I like marshmallows and weird fives eat food

The set of all numbers less than or equal to -1.

Answers

Answer:

anything before -1 is lower than -1.  -1 = -1

Step-by-step explanation:

-10, -9, -8, -7, -6, -5, -4, -3, -2 etc. are in a sense before -1 on a time line and they are all less than -1

Set B represents the set of all the natural numbers less than or equal to -1

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set is represented by K

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

In Mathematics a set is  a collection of objects/elements that are constrained by some particular condition.

Let us consider a situation where "S" is the set and the elements are represented by "x"

A set is always denoted in curly braces. Expression (1) represents the set

[tex]\rm S =[/tex] { [tex]\rm x_1.x_2,x_3, x_4,x_5........x_n[/tex]}...........(1)

Set S  has elements that are represented as [tex]\rm x_1[/tex][tex]\rm\\where \; i \; represents\; the\; index\; of \; the \; element\\n = number\; of \; elements \; in \; the \; set \; x[/tex]

The set of all the natural numbers less than or equal to -1 is the set of all the negative integers including  -1.

So let us say B represents the set of all the natural numbers less than or equal to -1 . Then we can write it as follows

[tex]\rm B=\{-\infty ...........-4,-3,-2,-1\}[/tex]

Set B represents the set of all the natural numbers less than or equal to -1

if we include all the numbers the range of set includes every number from

[tex]\rm -\infty \; to -1[/tex] so the set becomes  

[tex]\rm K = \{ -\infty ,.....-1\}[/tex]

For more information please refer to the link below

https://brainly.com/question/4801204

A school buys 672 rulers to share among 21 classrooms. Each classroom gets the same number of rulers. How many rulers does each classroom get?

Answers

Divide rulers by rooms:


672/21 = 32

Each room gets 32 rulers

Answer:

32 rulers per classroom

Step-by-step explanation:

672rulers ÷ 21 classroom

=32 rulers per classroom

PLEASE HELP ME ASAP!!!!

Answers

Answer:

368 cm²

Step-by-step explanation:

Bottom: 12 * 10 = 120 cm²

Front and back (square): 2 * (10 * 10) = 200 cm²

Front and back (triangle): 12*8/2 = 48 cm²

Total = 120 + 200 + 48 = 368 cm²

A trend line passes through the points (-4, 9) and (1, -1). What is the equation of the trend line?

Answers

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

9. Every school day, Lucas bikes to school, 12 miles away at 8 miles per hour. Today, Lucas was thinking about planning his sister’s party in the evening, and, distracted, travelled the first four mile at only 6 miles per hour. At what speed must he travel the last eight miles to reach school in time?

Answers

Answer:

Step-by-step explanation:

The question may be answered easily by first determining how far we would ride the bike in 1 hour. Riding the bike 12 mph (miles per hour) for one hour, we would ride the bike 12 miles.

 

Since 20 minutes is 1/3 of a hour, divide 12 by 3 to find out how far the biker traveled in 1/3 of the time:4 miles. that is the answer and the steps!!

Select the correct answer.
Which number line shows the solution to this compound inequality?
0<2x + 6 < 16
OA. HE
-10 -8
-6 -4 -2 0 2 4
6
8
10 12 14
B. +++
- 10 -8
-6 -4
-2
0
2
4
6
8
10 12 14
Oc. + +
-10 -8
++
10 12 14
-6 -4 -2
0
2
4
6
8
OD.
httot
-10 -8 -6 -4 -2 0
2
4
6
8
10 12 14

Answers

Answer:

C.

Step-by-step explanation:

pa brnlst hehehheeh

thx m ltr

what is the value of 27-2m, when m=3​

Answers

it would be 21
hope this helps

Answer:

21

Step-by-step explanation:

27 - 2m = 27 - (2 x 3) then 27 - 6 is 21, so your answer should be 21.

Suppose f(x) is a function such that if p O f(x) can be odd or even.
O f(x) can be odd but cannot be even.
O f(x) can be even but cannot be odd.
O f(x) cannot be odd or even.

Answers

Answer: f(x) can be odd but cannot be even. I know this because I looked it up, but I hope this helps :)

what are the equivalent fractions of 4/7 and 3/5

Answers

Answer:

3/5= 6/10, 9/15, 12/20, 15/25, 18/30

4/7

= 8/14, 12/21, 16/28, 20/35, 24/42

Step-by-step explanation:

mark me brainliest!!

Hey there!

Remember, equivalent means equal.

So we need to find some fractions that are equal to 4/7 and 3/5.

We can easily do that.

First, let's take 4/7.

Let's multiply the top & bottom by 2:

8/14

4/7 and 8/14 are equivalent.

Let's multiply the top & bottom by 2:

16/28

We can keep multiplying...

Also, there's no reason why we cannot multiply by 3, 4, 5, 6, 7, 8...

In other words, there are infinitely many fractions equivalent to 4/7.

Same with 3/5:

6/10, 12/20...

Hope everything is clear.

Let me know if you have any questions; if so, please ask.

#LearningDoesn'tEnd

[tex]\rule{200}{2}[/tex]

Which number line best shows the position of 17?
0

J7
+++
+++
||||
-2 -1 0 1 2 3 4
-4
-3
7
01- ++ --
-4 -3 -2 -1 0 1
2 3
4

7
-- + Att
-2 -1 0 1 2 3 4
-4 -3
-
-
+- ?
-
+++
-3 -2 -1 0 1
7
| |--
2 3 4 5
-5 4

Answers

Answer:

C

Step-by-step explanation:

The square root should be about half of that number so half of 7 is 3.5.

Other Questions
Which part of the customer service resolution process requires active listening?A.testing products and servicesB.evaluating customer service managersC. assessing the situationD. creating Key Performance Indicators (KPIs) SHOW WORKTo make purple paint, we need to maintain a 3:2 ratio of red paint to blue paint. Red paint costs $20 a gallon and blue paint costs $25 a gallon. A coupon gives a 10% discount on red paint and a 20% on blue paint. If you have $500 for paint, what is the maximum amount of red blue paint you can buy to make purple paint? Which one is correct Two species of birds are being compared. Species A can fly 18.9 miles in 42 minutes, while species B can fly 20.3 miles in 58 minutes. Which species is slower, and at what speed can it fly? A Species A is slower, and it can fly 0.35 miles per minute. B Species A is slower, and it can fly 0.45 miles per minute. C Species B is slower, and it can fly 0.35 miles per minute. D Species B is slower, and it can fly 0.45 miles per minute.100 POINTS One theme of Gumption" is that people tend to lose hope in difficult times.How does Sylvester help to develop this theme?A. He makes fun of those around him instead of supporting his family.B. He chooses to do nothing rather than face continued rejectionC. He spends more time living in the past than thinking about the present.D. He damages his relationship with his wife by treating her with disrespect. A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation. The scale of a map says that 8 cm represents 5 km. What distance on the map in centimeters representan 5 km Johannes Kepler was a German astronomer who lived in the 17th century. He was the first scientist to accurately describe the motions of the planets around the Sun with mathematics. More than 50 years after his death, an English physicist named Isaac Newton developed a mathematical theory of gravity that applied to all objects, not just planets.The example described above suggests that A. scientific knowledge is never correct because it is constantly changing as new theories are developed and discoveries are made. B. scientists who make contributions to scientific knowledge often come from different backgrounds and live at different times. C. scientific knowledge does not change through time because the earliest scientists were totally correct. D. scientists tend to all come from the same region and live during the same time period. Please help. Will give brainliest 100 points. Please help. I'll give brainliest. In Exercises 15-18, find the measure of the exteriorangle. (See Example 3.)15.75642 Slove for x to the nearest tenth Why is it hard to sculpt with sand 3. Which ratio is not equivalent to 5 : 8?A. 10 out of 18B. 15 to 2420C.32D. 10:16 GIVING BRAINLIEST! Find the dimensions of the sports field at the right if the width is at least 60 yards. Which of these developments helped launch the industrial revolution? choose two answers. demand for goods increased. more families produced their own food. populations grew rapidly. many people moved back to rural areas. landowners hired more workers. We are all familiar with x-rays. They are used to detect broken bones and other injuries to our skeletal muscular system. Other waves in the electromagnetic spectrum are utilized in the medical field. One type of wave, considered a mutagen, is used in cancer therapy. What is that electromagnetic wave? H 125D 1803. A triangle has two sides that have lengths of14 feet and 22 feet. Which of the followinglengths could not represent the length of thethird side?A 8 ftB 12 ftc) 14 ft(D) 20 ft Annie went to John's house at 8 p.m. When she arrived there she saw a John's dead body in the bath room while searching for him. So she called the police. The police found out that there are 3 suspects. 1- the maid, 2- the chef, and 3- the gardener. The police asked them that What Were They Doing Around 7 and 8 p.m.? (1) The maid said " I was cleaning the table after John has eaten" (2) The chef said " I was making breakfast for John" (3) The gardener said " I was trying to replant the John's favorite flower because I accidentally cut it out. [Who Killed John?] Why is the Mayflower Compact important to the concept of a democratic society?