in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n

Answers

Answer 1

Answer:

n = 16

Step-by-step explanation:

The slope from the origin to each point must be equal

(0,0) and (n, 8)

m = 8/n

(0, 0) and (32, n)

m = n/32

Set the slopes equal

8/n = n/32

cross multiply

256 = n²

Take the square root of both sides

n = 16


Related Questions

What is the equation of the line that passes through the point (−4,−8) and has a slope of 4?

Answers

Answer:

i hatee maths thank u

Step-by-step explanation:

how many solutions are there to the system of equations graphed below if the lines are parallel ?

Answers

A. Zero

They're parallel so they will never intersect therefore: no solutions :]

Find the value of x

Answers

Answer:

X+6+2x=180

6+3x=180

3x=172

x=57 1/3

Wendy has $17 to buy seed for her birdfeeders. Each bag of seed costs $2. How many bags of seed can she buy?

Answers

Answer:

It depends if there is tax or not, if there isn't she can buy 8 of them.

Step-by-step explanation:

$17 is the total so we need to see how many $2 fit in $17.

8×2=16, and 16 is the closest number we can get to.

what is the answer to
2/3x = − 1/2x + 5

Answers

Answer:

x = 30/7

Step-by-step explanation:

2/3x = − 1/2x + 5

multiply by 6 to clear the fractions

4x = -3x + 30

add 3x to both sides

7x = 30

Divide both sides by 7

x = 30/7

what is nine times a number x, in algebraic expression?​

Answers

Answer:

Not possible to answer.

the answer would be 9x :)

Please help me with this question!!

Answers

Answer:

ok so for g times h you would have to foil it and then you would multiply it by f of X

Find the area of the triangle on problem #7 and what statement in true for the triangle on #8

Answers

Answer:

Step-by-step explanation:

Using the pythagorean theorem, a^2+b^2=c^2

32/2=16, 20 would be the hypotenuse, so it would be 20^2-16^2=a^2 because we want to find the middle line. 400-256=144. sqrt(144) = 12.

Then since it is an isosceles triangle, we can simply do 12*16=192

The answer for 7 is 192ft^2

For #8, the answer is short leg * sqrt(3) = long leg

On another note, you can find the hypotenuse of a 30-60-90 triangle by doubling the shortest leg

calculate the amount that will be in the bank after 4years if R3500 was invested at 9% p.a. simple interest​

Answers

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

I need help.
The question is in the picture

Answers

Answer: In attached

Step-by-step explanation:

Use the given functions to set up and simplify

Attachment has your answer.

I’m not good at typing functions on this app so this image is all I could give.

Answer:

there you go..........

Find the surface area plzzzzzz

Answers

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The Solution to a system of linear equations is the _____
of their graphs.

Answers

Intersection of their graphs

Hope this helps in a timely manner

NEED HELP ASAP

The function f(x) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 1/3. What is the equation of function g?

Substitute a numerical value for k into the function equation.

Answers

Step-by-step explanation:

x' = ⅓ x => x = 3x'

f'(x) = 7(3x')+1

= 21x' + 1

so g(x) = 21x + 1

30. A model train is 4 inches long. If the
scale factor is 1 in : 48 it, what is the
actual length of the train?
F 192 feet
H 12 nches
G 12 feet
s 192 inches

Answers

I think it is 192 inches long?

Xavier shoots a basketball in which the height, in feet, is modeled by the equation, h(t) = -4t^2+10t +18, where t is time, in
seconds. What is the maximum height of the basketball?

Answers

Answer:

h = 24.25 feet

Step-by-step explanation:

Xavier shoots a basketball in which the height, in feet, is modeled by the equation.

[tex]h(t) = -4t^2+10t +18[/tex] ....(1)

For maximum height,

Put dh/dt=0

So,

[tex]\dfrac{dh}{dt}=\dfrac{d}{dt}(-4t^2+10t +18)\\\\=-8t+10[/tex]

So,

-8t = -10

t =1.25s

Put t = 1.25 s in equation (1)

[tex]h(t) = -4(1.25)^2+10(1.25) +18\\\\=24.25\ feet[/tex]

So, the maximum height of the basketball is equal to 24.25 feet.

Part A

Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?

Answers

Answer: hello your question has some missing data attached below is the missing data

answer:

The second scatter plot

Step-by-step explanation:

The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot

Answer:

Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.

Step-by-step explanation:

If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.

(in other words the other person who answered is correct)

Find the circumference of a circle with radius, r = 6.5m.
Give your answer in terms of pie

Answers

Answer:

13π m

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*6.5

=13π m

Answer:

13[tex]\pi[/tex] m

Step-by-step explanation:

The formula for circumference is 2r[tex]\pi[/tex], so...

2r[tex]\pi[/tex]

2(6.5)[tex]\pi[/tex]

=13[tex]\pi[/tex]

Which linear function has the steepest slope?
y = negative 8 x + 5
y minus 9 = negative 2 (x + 1)
y = 7 x minus 3
y + 2 = 6 (x + 10)

Answers

Answer:

y minus 9 = negative 2 (x + 1)

Step-by-step explanation:

i put it onto desnos graphing calculater and thats what i got

Answer:

A

Step-by-step explanation:

bannana

Please help me i'm struggling!

Answers

Answer:

c

Step-by-step explanation:

Answer:

x is greater than or equal to 3

So it is the first answer.

Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.​

Answers

Given:

The equation is:

[tex]\sqrt{x+7}+5=x[/tex]

To find:

Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.

Solution:

We have,

[tex]\sqrt{x+7}+5=x[/tex]

Subtract 5 from both sides.

[tex]\sqrt{x+7}=x-5[/tex]

Taking square on both sides, we get

[tex]x+7=(x-5)^2[/tex]

[tex]x+7=x^2-10x+25[/tex]

[tex]0=x^2-10x+25-x-7[/tex]

[tex]0=x^2-11x+18[/tex]

Splitting the middle term, we get

[tex]x^2-2x-9x+18=0[/tex]

[tex]x(x-2)-9(x-2)=0[/tex]

[tex](x-2)(x-9)=0[/tex]

[tex]x=2,9[/tex]

Now, substitute [tex]x=2[/tex] in the given equation.

[tex]\sqrt{2+7}+5=2[/tex]

[tex]\sqrt{9}+5=2[/tex]

[tex]3+5=2[/tex]

[tex]8=2[/tex]

This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.

Substitute [tex]x=9[/tex] in the given equation.

[tex]\sqrt{9+7}+5=9[/tex]

[tex]\sqrt{16}+5=9[/tex]

[tex]4+5=9[/tex]

[tex]9=9[/tex]

This statement is true. So, 9 is a solution of given equation.

Therefore, 2 is an extraneous solution and 9 is a solution of given equation.

grade 7 work please help

there is 2 questions 5 and 6

Answers

Answer:

For 5 the yellow square stays the same, while the blue adds 2 each time.

5. 1(2x) something like that.

6. 3 is 6 4 is 7 5 is 8

I have gotten too old for this, my bad somethings just dont make sense anymore.

Answer:

5.

a. 2 blue blocks added

b. 2 blue blocks are added on the top blue blocks

c.y = 2x +3

6.

a.

1,4

2,5

3,6

4,7

5,8

b. starting off with 4 triangles and ending with a bottom triangle a triangle is added first from the top, then the bottom for each increase (increment)

c. y = x+4

Step-by-step explanation:

all the answers are up

Alan recorded the points he scored on the basketball court in ms2 school yard. What is the mean absolute deviation of his scores

Answers

Answer:

The mean absolute deviation is: 7.44

Step-by-step explanation:

Given

[tex]Scores: 98, 78, 84, 75, 91[/tex]

Required

The mean absolute deviation

First, calculate the mean

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{98+78+84+75+91}{5}[/tex]

[tex]\bar x = \frac{426}{5}[/tex]

[tex]\bar x = 85.2[/tex]

The mean absolute deviation (M) is:

[tex]M = \frac{1}{n}\sum|x - \bar x|[/tex]

So, we have:

[tex]M = \frac{1}{5}(|98 - 85.2|+|78 - 85.2|+|84 - 85.2|+|75 - 85.2|+|91 - 85.2|)[/tex]

[tex]M = \frac{1}{5}(|12.8|+|-7.2|+|-1.2|+|-10.2|+|5.8|)[/tex]

Remove absolute brackets

[tex]M = \frac{1}{5}(12.8+7.2+1.2+10.2+5.8)[/tex]

[tex]M = \frac{1}{5}*37.2[/tex]

[tex]M = 7.44[/tex]

Please help I’ll give brainliest

Answers

Answer:

B. $1650

Step-by-step explanation:

the middle share = 3/(2+3+5) × $5500

= 3/10 × $5500 = $1650

please help me with this .

Answers

Answer:

20:1

Step-by-step explanation:

every 20 dollar she spends she save 1 dollar

Question 1 of 5 Shelley has a bag containing three balls: one red, one yellow, and one green. All balls are equally likely to be chosen. Shelley will choose one ball without looking in the bag. What is the probability that Shelley will choose the yellow ball out of the bag? ​

Answers

1/3 or 33.3333% :)) hope this helps

Answer:

1/3=33 1/3%

Step-by-step explanation:

Since there is 3 balls.

Mary has 2 blouses (1 Red and 1 blue) and 3 pair of slacks (1 yellow and 1 white and 1 green).


If Mary choose 1 blouse and 1 pair of slacks at random , what is the probability that the outfit she chooses will include a pair of green slacks?

Answers

Answer:

1/3, the information with the blouses is there to distract you

What are the measures of

1
and

2
? Show your work or explain your answers.

Answers

Answer:

Step-by-step explanation:

angle 2 is 75 degree because angle 2 and 75 dgeree are corresponding angles corresponding angles are always equal.

angle 1 + angle 2 = 180 degree (being linear pair)

angle 1 = 180 - 75

angle 1 = 105 degree

∠1 = 105° and ∠2 = 75°

What are parallel lines?

"These are the lines in the same plane that are at equal distance from each other and never meet."

What is transversal?

"It is a line that passes through two lines in the same plane at two distinct points."

What are corresponding angles?

"The angles which are formed in matching corners or corresponding corners with the transversal when the transversal intersects two parallel lines."

For given question,

Line c and line d are parallel lines.

These parallel lines are intersected by a transversal.

We can observe that ∠2 and the angle that measures 75° are corresponding angles.

We know that the corresponding angles are congruent.

⇒ ∠2 = 75°

Also, the sum of all angles on either side of the line is 180°

⇒ ∠1 + ∠2 = 180°

⇒ ∠1 + 75° = 180°

⇒ ∠1 = 105°

Therefore, ∠1 = 105° and ∠2 = 75°

Learn more about parallel lines and transversal here:

https://brainly.com/question/17432060

#SPJ3

For each steak, lobster, or chicken dinner in a restaurant, you have a choice of french fries or mashed potatoes. You get a choice of Water or Iced Tea to drink. If all combinations are equally likely to be ordered, find the sample space of the possible outcomes.

Answers

There should be 36 combinations that you should be able to do! I hope this helps!

John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.

Answers

Answer:

Monthly payment = 241.925

Step-by-step explanation:

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

Solving, we have i = 0.6434% monthly approximately

To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18.  We therefore conclude that the "future values" fall on the same day, and that they are equal.

We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts.  By the end of the operations, one will balance the other (they are equal).

We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.

F(A,i,n) = A*((1+i)^n-1)/i

Step 1:

calculate the future value of the withdrawals

A = W = 25000 (annual withdrawal)

i = 8% (effective annual interest)

n = 4 years (beginning of 16,17,18,and 19th years)

F(A,i,n) = A*((1+i)^n-1)/i

= 25000( (1+0.08)^4 - 1)/(0.08)

= 112652.80

This is also the total deposit after eighteen years.

Step 2:

calculate the future value of the annual deposits D

A = D (total of annual deposits)

i = 8% (effective annual interest)

n = 18 years

Future value of deposits

F(A,i,n) = A*((1+i)^n-1)/i

= D( (1+0.08)^18 -1 ) / 0.08

= 37.45024373981167D

Since this must equal the total withdrawal, we equate the two to calculate D.

37.45024373981167D=112652.80

and solve for D

D = 112652.80 / 37.45024373981167

= $3008.0659

Step 3

Calculate monthly deposit, X

Effective interest rate is the actual interest paid at the end of the year AFTER compounding.  Most credit cards charge x% ("APR", annual percentage rate)annually.  Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.

Here, effective (annual) interest rate is 8%.  We need the monthly rate, i.

(1+i)^12 = 1.08

The actual monthly interest rate is therefore

i = 1.08^(1/12)-1

Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by

D = X*((1+i)^n-1)/i

3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)

or the monthly amount

X = $3008.0659 / ( 1.08^(1/12)-1)

= 241.925 per month.

=

On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =

Answers

Answer:

5

just took the test

Answer:

Step-by-step explanation:

its 5

Other Questions
Alex managers a team of several professional. He is cognizant that he needs to be aware of how stress might present in his workforce. Alex should be on the lookout for...A. employees that take a new job.B. employees who decline their health care benefits.C. employees who get sick a handful of times each year.D. employees who are paid less than their peers.E. employees that experience headaches, back discomfort, and migraines. can someone help with this ASAPP Heeeeellllllllpppppppp!!! What is the approximate distance between two points with coordinates (3,5) and (-4, -8)? Round your answer to the nearest hundredth. we(not/cycle) _all day If an relationship is proportional what is the missing value from the table? PLEASE HELP I AM MARKING BRAINLEST!!! PLEASE! which expression represents these words?8 more than the quotient of 32 and 4A. (32-4)+8B. 324-8C. (32-4)-8D. 324+8 The clock has a diameter of 22 inches. What is the circumference of the clock? pls help me ill give brainliest and no links ty! 2^58^4/16=2^5(2^a)4/2^4=2^52^b/2^4=2^cA=B=C= Please I'm gonna fail math If bc= 12 and cd is 5 then bd = identify the clause in the sentences Below,1. we feared that he would fail justin surveyed his freibds about how mant pets they have use the data in the table to find the median mode and range Which of the following is a factor in determining blood alcohol contract ? a. emotions b. physical activity c. body weight or none of the above Which of the following items is a major principle pertaining to selection under the Americans with Disabilities Act?A) It is unlawful to use criteria that will screen out individuals with disabilities unless the criteria are consistent with a business necessity.B) It is unlawful to screen out individuals with disabilities for any reason.C) It is always unlawful for employers to require employees to physical agility tests in a selection context.D) The employer can retain the right to refuse to hire individuals with disabilities if customers have a strong preference for not encountering disabled staff. Read this excerpt from "The World on Turtle's Back."The right-handed twin lives in the Sky-World and he is content with the world he helped to create. The left-handed twin lives in the world below. He, too, is content with the world of men. He delights in the sounds of warfare and suffering. These two beings rule the world and look after the affairs of men. During the day people have rituals to honor the right-handed twin. At night they dance and sing for the left-handed twin.According to this excerpt, the two brothers representgods and men.life and afterlife.good and evil.sky and earth. The question's attached in the file; I tried solving it in 4 different ways and ended up confusing myself more and more each time. which of the following functions best describes this graph they promise us higher wages ( make passive voice )