Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line 4x + 9y - 2 = 0 (let x be the independent variable and y be the dependent variable.

Answers

Answer 1

Answer:

y = 9/4x -1/2

Step-by-step explanation:

4x + 9y -2=0

solve for y: 4x-2=-9y

(4x-2)/-9 =  

y =4/-9x-2/9

perpendicular means reciprocal of slope. So 4/-9 changesz to 9/4

For the point plug in y and x:

9/4*2+b=4

b = -0.5

I attached graph as proof

Find An Equation Of The Line That Passes Through The Point (2, 4) And Is Perpendicular To The Line 4x

Related Questions

One plumber charges a flat fee of $50 to come to the house and then
$20 per hour. If h represents the number of hours that the plumber spent
fixing the problem and C represents the total charge, which of the following
equations shows how to determine the total fee charged?

C=50+20h

C=(50+20)h

C=h+50+20

C=20+50h

Answers

Answer:

C=50+20h

Step-by-step explanation:

Since 20 is going to be added every hour, that is the h value. Since 50 is the the initial payment, that is the other value

The equation for total fees charged, if One plumber charges a flat fee of $50, The per hour fees = $20, is C = 50 + 20h, so option A is correct.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.

Given:

One plumber charges a flat fee of $50,

The per hour fees = $20,

Write the equation for the total charged fees as shown below,

Total charge = One-time fees + per-hour fees × number of hours

Assume C represents the total charge, h represents the number of hours, then,

C = 50 + 20 × h

C = 50 + 20h

To know more about equation:

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Find the measure of each angle indicated

Answers

Step-by-step explanation:

90+115+65=270

360-270=90

Answer:

U=90°

What is the volume in cubic cm for a rectangular prism with length 10 cm, width 4 cm and height 10 cm?
F 400
G 40
H 24
J 100

Answers

Answer: 400

Step-by-step explanation: L x W x H

10 x 4

40 x 10

400

Can you mark brainliest if this is right?

Three friends went to a fundraiser at a local restaurant. Each plate cost $7.95, which included a drink. A tip of 20% was left for the waitress. How much was the total cost of the meals including tip?

A.$23.85
B. $24.05
C. $28.62
D. $29.65

Answers

I think it might be D but I’m not 100% sure

Answer:

C. $28.62

Step-by-step explanation:

3 · $7.95 = $23.85

[tex]\frac{y}{23.85} :\frac{20}{100}[/tex]

y · 100 = 20 · 23.85

100y = 477

100y ÷ 100 = 477 ÷ 100

y = $4.77

$23.85 + $4.77

$28.62

WILL MARK BRAINLIEST PLS HELP​

Answers

Answer:

64

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 4 by 256. 256/4 is equal to 64. Therefore, the answer is 64 paving stones.

If this has helped please mark as brainliest

Find the measure of the angles

Answers

Step-by-step explanation:

Make sure the bottom line of the angle points to 0. Then slowly go up until the other line hits a number. In this case, it's 40 degrees

Which of the following graphs represents this inequality?

15\le7n-2\left(n-10\right)<3515≤7n−2(n−10)<35

Answers

Answer:

Step-by-step explanation:

Which is larger?Helppp


Answers


greater
less
less
equal
absolute val of 4

Find the area of a circle with a radius of 21 inches.

Answers

Answer:

A≈1385.44in²

Step-by-step explanation:

A=πr2=π·212≈1385.44236in²

Answer:

1384.74 inches.

Step-by-step explanation:

The formula for area of a circle is:

[tex]a=\pi *r^2(3.14*radius*radius)[/tex]

[tex]\pi =3.14, r=radius.[/tex]

According to the word problem, the radius of the circle is 21 inches.

Now, we can just plug the numbers into the formula.

[tex]\pi *21^2(3.14*21*21)=1384.74[/tex]

Therefore, the area of the circle is 1384.74 inches.

HELP HELP HELP HELP PLZZZZZZZ

Answers

Answer:

Step-by-step explanation:

So, lets just go by segment to segment, using the process of elimination to see which graph is correct.

So the first segment of all the graphs is 18-19.9.

Lets look at the numbers given to us, and see how many times values between these two numbers occur. I see 19.9 and 18.6. This is two values.

This eliminates answer C, which has three values(a frequency of 3).

All the others have 2 values however, so lets keep going.

Next we have 20-21.9. I see 9 values that are in between 20-21.9:

20.7, 21.2, 20.5, 20.4, 21.6, 21.4, 21.5, 21.5, 21.9

Both B and D have graphs with 9 values that are between 2-21.9, however A only has 8 values.

Now lets look at 22-23.9. I see 8 values between 22-23.9:

22.2, 22.7, 22.1, 23.1, 23.8, 22.6, 23.9, 23.4

This eliminates D, which only has 7 values, but B does have 8 values.

So this means that B is the answer!

Hope this helps!

Which two triangles are congruent? Complete the congruence statement.​

Answers

Answer:

ΔSTU ≅ ΔBDC

Step-by-step explanation:

In ΔSTU and ΔBDC,

∠S ≅ ∠B [Given]

∠T ≅ ∠D [Given]

SU ≅ BC [Given]

Since, two corresponding angles and non included side of the angles are equal in measure.

Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]

ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????

Answers

Answer:

rotation

Step-by-step explanation:

it says i'm wrong, but i don't see why. could someone explain it? (or maybe the system's just incorrect)

Answers

Answer:

i think the answer should be 4y(m+3)/a^2

Step-by-step explanation:

A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the pie eating contest or the chili
cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?

A. The Chili Cook-off would be more skewed.

B. The Pie Eating Contest would be more skewed

C. The Chili Cook-off would be more symmetrical.

D. The Pie Eating Contest would be less symmetrical.

Answers

Answer:

I am doing this question right now once I submit I will come back and tell you

Step-by-step explanation:

If all 20 students joined the same event, the shape of the histogram will change as compared to the original. A.) The Chili Cook-off would be more skewed and D.) The Pie Eating Contest would be less symmetrical.

What is a skewed histogram?If most of the data are on the left side of the histogram but a few larger values are on the right, the data are said to be skewed to the right.If most of the data are on the right, with a few smaller values showing up on the left side of the histogram, the data are skewed to the left.

If 20 students get added to the 0-19 age group in Chili Cookoff contest, the frequencies of the number of students would be 50, 50, 40, 10. Since,  the frequencies are decreasing with increasing age group, the histogram is skewed.

What is symmetric histogram?

If the data are symmetric, histogram have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it looks about the same on both sides.

If we add 20 to the 0-19 age group in Pie eating contest, the frequencies of the number of students would be 40, 40, 60, 50. Since the frequencies are monotonically increasing and then decreasing, the histogram is symmetrical but it doesn't look exactly same on either side.

Learn more about symmetric and skewed histogram here

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15 in.
8 in
8 in.
6. Erica wants to build the birdhouse shown. She bought a 30-inch by 44-inch sheet of plywood.
Does Erica have enough wood to make the birdhouse? Explain.
Find the area of the base and the sides.

Answers

This question really needs to be answered trying to get my points dude

Coach Dom took the football team out for pizza. He bought 6 pies at $6.35 each. He left a 18 % tip. How much did Coach Dom spend in all?

Answers

Answer: $44.96

Step-by-step explanation:

6 × 6.35 = 38.1

38.1 × .18 = 6.86

38.1 + 6.86 = 44.96

What is the name for the total area of the surface of a solid?prism area net area surface area facial area

Answers

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

Answer:

Surface Area

Step-by-step explanation:

In the equation »+2, 2y2-y+3
y-2
the value of a is:
y+1' 32-1
y-1
02
01
04

Answers

Answer:

jajaja que no te he buscado en mi hija pero si

Which of the following operations could you perform on both sides of the
given equation to solve it? Check all that apply.
9x+ 5 = 5x + 21
O A. subtract 16
B. divide by 9
O C. divide by 4
D. subtract 5
O
E. divide by 3
F. subtract 5x
No

Answers

Answer:

C, D and F

Step-by-step explanation:

Procedure:

9x+5=5x+21

4x+5=21 (subtract 5x)

4x=16 (subtract 5)

x=4 (divided by 4)

I believe the answer is e nd c .

the graph of a function is shown below

Answers

Answer:

B. In Section P, the function is linear and increasing.

Step-by-step explanation:

Answer:

B. In Section P, the function is linear and increasing.

PLS HELP!! need the answer asap

Answers

Answer:

8

Step-by-step explanation:

[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]

[tex]3x + 12 + 7x + 88 = 180[/tex]

[tex]10x + 100 = 180[/tex]

[tex]10x = 80[/tex]

[tex]x = 8[/tex]

Is it possible to find two data sets A and B such that A has a greater median and mode, while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.

Answers

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The median is the middle value (or the average of the two middle values)

The average or mean is:

[tex]m = \frac{x_1 + ... + x_n}{N}[/tex]

The mode is the value that is more repeated.

The range is the difference between the largest value and the smallest value.

Now, let's try to construct two sets A and B that meet the required conditions:

Let's suppose two sets of 5 values each:

A = {2, 2, 3, 4, 5}

The median of A is 3.

The range of A is = 5 - 2 = 3

The average of A is: (2 + 2 +3 +4 +5)/5 = 16/5

And the value "2" appears two times, so the mode is 2.

Now, let's try to find a data set B such that:

The mode is smaller than 2  (so for example, we can have a "1" that repeats two times)

The median is smaller than 3 (let's have a median equal to 2)

The average is larger than 16/5

The range is larger than 3

This is ratter simple:

B = {1, 1, 2, 6, 9}

The median of B is 2.

The mode of B is 1

The range of B is: 9 - 1 = 8

The average of B is: (1 + 1 + 2 + 6 + 9)/5 = 19/5

So, we just found an example for two data sets A and B such that A has a greater median and mode, while B has a greater average and range.

So the answer is yes, it is possible.

IF a man converted Rs.150000 into pound sterling.

After one week Nepalese rupees devalued by 5% then find

the he has profit or loss. ( 1 pound sterling = Rs.77.02)​

Answers

Answer:

The man has made a profit, for with the same money he bought more British Pounds than he could have bought a week later.

Step-by-step explanation:

Given that a man converted Rs. 150000 into pound sterling, and after one week Nepalese rupees devalued by 5%, to find if you have obtained a profit or a loss, the following calculation must be performed:

150,000 / 77.02 = X

1,947.55 = X

150,000 / (77.02 x 1.05) = X

150,000 / 80.87 = X

1,854.82 = X

Therefore, the man has made a profit, for with the same money he bought more British Pounds than he could have bought a week later.

{3x+y=7{-2x+y=-3 please

Answers

Answer:

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

y=[tex]\frac{23}{5}[/tex]

Step-by-step explanation:

Look at the pictures!

Seventeen percent of U.S. residents are in their thirties. Consider a group of nine U.S. residents selected at random. Find the probability that three or four of the people in the group are in their thirties.

Answers

Answer:

0.1764

Step-by-step explanation:

This problem meets requirement that enables us to use the binomial probability relation :

Probability of success, p = 17% = 0.17

number of trials = 9

(1 - p) = 1 - 0.17 = 0.83

The binomial probability relation :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 9C3 * 0.17^3 * 0.83^6

P(x = 3) = 84 * 0.001606258054361897

P(x = 3) = 0.134925676566399348

P(x = 3) = 0.13492

P(x = 4) = 9C4 * 0.17^4 * 0.83^5

P(x = 4) = 126 * 0.000328992613544003

P(x = 4) = 0.041453069306544378

P(x = 4) = 0.04145

P(x = 3 or x = 4) = P(x = 3) + p(x = 4)

= 0.13492 + 0.04145

= 0.17637

= 0.1764

There are 20 bears in a zoo. What will be their population after 3 years, if the population doubles each year?

Answers

Answer:

160

Step-by-step explanation:

20 x 2 = 40

40 x 2 = 80

80 x 2 = 160

It stops at 3 years.

Answer:

120

Step-by-step explanation:

20+40+60 = 120

If we double it, we have to keep adding 20 each year and stop at 3 so the answer is 120

HELP WILL GIVE RIGHT ANSWER 100 POINTS


The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:


A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 220 at increments of 44. A straight line joins the ordered pairs 0, 0 and 2, 44 and 4, 88, and 6, 132


Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?


The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.

The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.

The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.

Answers

Answer: 6

6b+9y=0 then divide

Step-by-step explanation:

A study of color in tiger beetles is conducted to gain evidence to support the contention that the proportion of yellow beetles may vary from locality to locality. A sample of 500 beetles caught in one season near East Setuket, NY, yielded 92 yellow ones. A catch of 251 from Queens, NY, contained 14 yellow individuals. What distribution can be used to derive the exact sampling distribution for proportion of yellow tiger beetles

Answers

Answer:

Binomial distribution

Step-by-step explanation:

Each tiger:

For each tiger, there are only two possible possible outcomes. Either it is yellow, or it is not. The probability of a tiger being yellow is independent of any other tiger. This means that the binomial probability distribution is used to solve this question.

A large tank is filled to capacity with 700 gallons of pure water. Brine containing 4 pounds of salt per gallon is pumped into the tank at a rate of 7 gal/min. The well-mixed solution is pumped out at a rate of 14 gallons/min. Find the number A(t) of pounds of salt in the tank at time t.

Answers

Answer:

[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Step-by-step explanation:

The net mass flow rate dA/dt = mass flow rate in - mass flow rate out

mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min

Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.

Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min

So, dA/dt = mass flow rate in - mass flow rate out

dA/dt = 28 lb/min - A(t)/50 lb/min

dA/dt = 28 - A(t)/50

dA/dt = [1400 - A(t)]/50

separating the variables, we have

dA/[1400 - A(t)] = dt/50

integrating both sides, we have

∫dA/[1400 - A(t)] = ∫dt/50

-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50

1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50

-1 × ㏑[1400 - A(t)] = t/50 + C

-㏑[1400 - A(t)] = t/50 + C

㏑[1400 - A(t)] = -t/50 - C

taking exponents of both sides, we have

[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]

when t = 0, A(0) = 0. So,

[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]

So,

[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

maeve painted 25% of the wall. jonathan painted 1.5 times as much as the wall maeve painted. what fraction of the entire wall did maeve and jonathan paint

Answers

If somebody sends links report them

Answer:

37.5x

Step-by-step explanation:

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