through: (0, 3) and (-4, -1)

Answers

Answer 1

Answer:

[tex]m = 1[/tex] -- Slope

[tex]y = x + 3[/tex] --- Equation

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (-4,-1)[/tex]

Required

The slope and the equation

The slope (m) is calculated using:

[tex]m=\frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m=\frac{-1-3}{-4- 0}[/tex]

[tex]m=\frac{-4}{-4}[/tex]

[tex]m = 1[/tex]

The equation is calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 1(x - 0) + 3[/tex]

[tex]y = 1(x) + 3[/tex]

[tex]y = x + 3[/tex]


Related Questions

3. Blackberry is also in the business of selling phones. The data for the profit that Blackberry makes on selling tablets is represented by the following equation with profit being P(b) and b being number of blackberry phones sold (both variables in millions):

P(b) = -x2 + 8x – 8

a. Use the quadratic formula to solve the equation. What do these points tell us about the graph?




b. Complete the following table. Based on the table, estimate the vertex for the function. Is the vertex a max. or a min. point?



Blackberry: Profit from Smart Phones Sold

Smart Phones sold (in millions) b Profit (in millions of dollars) P(b)
-1
0
2 4
3
4
5 7
6


c. Sketch a graph for Blackberry. Label the x and y axis (for b and P(b))

Answers

Here is my answer. I left the latter question in a. as I don't actually know the answer. Anyway, I hope this is helpful although not complete.

Find 10.8% of 405. Round to the nearest tenth.

Answers

Answer: 43.7

Steps:
405 * 10.8%
405 * 0.108 = 43.74
43.74 = 43.7

BRAINLIEST! HELP! Please help me! I NEED PART D AND E! I’m so lost :(

If you can show your work so I understand that would be awesome! Thanks so much!!

Part A-The pyramids have always fascinated Kristina, so she wants to build to model pyramids to put on her mantle. She wants her model of Khufu’s pyramid to have a volume of 73.5 inches and a height of 4.5 inches. What would the side length of the base of the pyramid be is this a rational or irrational? Why?

Part B- The volume of Khafre’s pyramid is about 9/10 the volume of Khufu‘s pyramid. If Kristina wants to make the second model pyramid so it’s volume is 9/10 of the volume of the first model pyramid, what volume should she make the second model pyramid?

Part C- if the height is 4.41 inches and the volume is the volume found in Part B, what will the side length of the pyramids base be? Is the number rational or irrational? Why?

Part D- for the model to be scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu‘s pyramid to scale? If not, is it close?

Part E- Is the model of Khafre’s pyramid to scale? If not, is it close?

Answers

Part A

Given:

Volume of square pyramid = 73.5 cubic inches

height of square pyramid = 4.5 inches

To find:

1)Side length of square pyramid.

2)if side length of square pyramid is rational or irrational

Steps:

1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]

Side length = [tex]\sqrt{\frac{3*73.5}{4.5} }[/tex]

Side length = [tex]\sqrt{\frac{3*73.5*10}{4.5*10} }[/tex]         (multiplying both sides to make it a whole number)

Side length = [tex]\sqrt{\frac{3*735}{45} }[/tex]

Side length = [tex]\sqrt{\frac{735}{15} }[/tex]                  (3 gets canceled out)

Side length = [tex]\sqrt{49}[/tex]

Side length = 7 inches

Therefore, the side length of the square pyramid is 7 inches long

2) 7 is a rational number, so the side length of the square pyramid is a rational number.

It is a rational number because,

it can be written in the form p/q,  where

1) q [tex]\neq[/tex]0

2) p and q are co-prime

3) p and q are integers

Part B

Given:

Volume of Khafre's pyramid = 9/10 of Khufu's pyramid's volume

Volume of Kristina's first pyramid = 73.5 cubic inches

To find:

Volume of Kristina's second pyramid

Steps:

Volume of Kristina's second pyramid = 9/10 the volume of Kristina first pyramid

Volume of second pyramid = [tex]\frac{9}{10}*73.5[/tex]

Volume of second pyramid = 9 [tex]*[/tex] 7.35

Volume of second pyramid = 66.15 cubic inches

The volume of the second pyramid should be 66.15 cubic inches

Part C

Given:

Height of pyramid = 4.41 inches

Volume of pyramid = 66.15 cubic inches

To find:

1) Side length of pyramid

2) if the side length is rational or irrational

Steps:

1) Side length = [tex]\sqrt{\frac{3v}{h} }[/tex]

Side length = [tex]\sqrt{\frac{3*66.15}{4.41} }[/tex]

Side length = [tex]\sqrt{\frac{3*66.15*100}{4.41*100} }[/tex]         (multiplying both sides to make it a whole number)

Side length = [tex]\sqrt{\frac{3*6615}{441} }[/tex]

Side length = [tex]\sqrt{\frac{6615}{147} }[/tex]                   (3 gets canceled)

Side length = [tex]\sqrt{45}[/tex]

Side length of pyramid is [tex]\sqrt{45}[/tex] inches

2) [tex]\sqrt{45}[/tex] cant be written in the form of a fraction, so it is an irrational number

(if u want i can explain this more)

Part D

Given

Height of model pyramid = 4.5 inches

Height of Khufu's pyramid = 755.75 feet (had to search the internet for the answer, so I am not sure if it is correct)

Side length of model pyramid = 7 inches

Side length of Khufu's pyramid = 481.4 feet (had to search the internet for the answer)

To find:

1)If the model is to scale with Khufu's pyramid

2) If the model is close to scale with Khufu's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model

Ratio = 4.5 in : 7 in

         = 45 : 70

         = 9 : 14

         = 0.6428

Now lets find the ratio of the height to the side length of Khufu's pyramid

Ratio = 481.4 feet : 755.75 feet

         = 5776.8 in : 9069 in

         =  0.6369

Therefore the model is not to scale with Khufu's pyramid

2) Yes the scale is close

Part E

Given:

Height of model pyramid = 4.41 inches

Height of Khafre's pyramid = 448 feet

Side length of model pyramid = [tex]\sqrt{45}[/tex] inches

Side length of Khafre's pyramid = 706 feet

To find:

1) If the model is to scale with Khafre's pyramid

2) If the model is close to scale with Khafre's pyramid

Steps:

1) First lets find the ratio of the height to the side length of the model pyramid,

Ratio = 4.41 in : [tex]\sqrt{45}[/tex] in

= 4.41 : 6.7082

= 0.6574

Now lets find the ratio of the height to the side length of Khafre's pyramid

Ratio = 448 ft : 706 ft

= 5376 in : 8472 in

= 0.6345

Therefore the model is not to scale with Khafre's pyramid

2) No, the model is not close to scale,  (it depends by what is meant by close, for me its 0.01)

Happy to help, and I hope you learnt something from this answer that will help you in the future

If you didn't understand any topic pls ask

Here are 7 numbers.
3.51
3
.
1.1
4.
4.5
2.5
2.81
Calculate the mean of these 7 numbers.

Answers

Answer:

3.06

I hope this helps you :)

What is the approximate distance from one corner of the soccer field to the opposite comer?

Answers

?= sqrt((100)^2+(60)^2)=116.52yards

The answer is 116.52 yards or if you round up to nearest yard 117 yards

Quick answer please

Answers

Answer:

D) 20m³

Step-by-step explanation:

1/2x4x2x5=20

The area of a rectangular sheet of metal is 135 square inches. The perimeter is 48 inches. What are the dimensions of the sheet?

Answers

Answer:  The length is 15 inches and breadth is 9 inches

Step-by-step explanation:

Given : Area of rectangular sheet = 135 square inches

Perimeter of rectangular sheet = 48 square inches

Now Area of rectangular sheet = [tex]Length\times Breadth[/tex] =  135 square inches

perimeter of rectangular sheet = [tex]2\times (Length+Breadth)[/tex] = 48 square inches

Thus [tex](Length+Breadth)[/tex] = 24 square inches

Thus Length = 15 inches

Breadth = 9 inches

last year megan had 63 books in her collection now she has 112 books what is the percentage increase

Answers

The answer (I think) is 56

Answer:

56.25%

Step-by-step explanation:

Divide

63/112 = .5625

Convert to a percentage

56.25%

does anyone know this lol i just need a short explanation

Answers

Answer: pretty sure it’s because the left and bottom sides add up to equal the top side

Step-by-step explanation:

What is the volume of this regular prism?

Answers

9.70 cubic inches

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Answer:

9.70 cubic inches

Step-by-step explanation:

Surface Area (SA) = √(25 + 10 * √5) * a² + 5 * l * h

2

Volume (V) = √(25 + 10 * √5) * a² * h

4

Manipulate the radius and height of the cone, setting different values for each. Record the radius, height, and exact volume of the cone in terms
of m). The first one has been done for you. Also calculate the decimal value of the volume, and verify that it matches the volume displayed by the
tool (You might see some discrepancies in the tool due to rounding of decimals.)

Answers

Answer:

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= 2000π unit³

Volume= 6284 unit³

Step-by-step explanation:

The decimal value of the volume already given= 600π

The decimal value of the volume already given= 600*3.142

The decimal value of the volume already given= 1885.2 unit³

For radius 11 unit height 12 unit

Volume= πr²h/3

Volume= 11²*12/3 *π

Volume= 484π unit³

Volume= 1520.73 unit ³

For radius 4 unit height 6 unit

Volume = πr²h/3

Volume= 4²*6/3(π)

Volume= 32π unit³

Volume= 100.544 unit³

For radius 20 unit height 15 unit

Volume= πr²h/3

Volume= 20²*15/3(π)

Volume= 2000π unit³

Volume= 6284 unit³

Hope this helps, best of look to all who needed help!!

Solve these equations. Show solutions on a number line. |x - 14| = 14

Answers

Answer:

how are we supposed to get a number line if you didn't provide it i would answer it/

Step-by-step explanation:

Answer:

x=0 or x=28

im not sure

2. Next Christmas, I'm buying my Valentine a brand new car. I estimate that it will cost me about
$32,000 so I'm planning on putting down a 20% down payment. Chase Bank is offering to give me a
car loan with 4.5% annual interest compounded monthly for 5 years. What will my monthly payment
be?
A =R2-(1+1)
1
L

Answers

bungee sgch rkaos cus xuie. how d uurneciif enc uksnw elzowncuejicnf u

Pleaseeeeeeeeeeeeeeeee help nowwwwwwwwwwwwwww

Answers

A is the correct answer
A is the correct answer

can anyone help me? :)

Answers

Answer:

7\11

Step-by-step explanation:

you just multiply to get an integer then convert that

what is 8 with an exponent of 2 equal to ?

Answers

Answer:

64

The Exponent 2 is like multiplying 8 by itself.

Ex: 8 x 8

HOPE THIS HELPED :)

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

it would increase

Step-by-step explanation:

find an equivalent ratio in simplest terms 18:99​

Answers

Answer:

2:11

Step-by-step explanation:

divide both sides by 9

Therefore, 18/99 simplified to lowest terms is 2/11.

what is the value of x?

Answers

Answer:

can be anything

Step-by-step explanation:

there's no context

Answer:

The letter "x" is oftenly used in algebra to mean the value that not shown yet it is even called a variable or sometimes even unknown in example x+5=10 , the 'x' is the variable.

I hope this will help u

Use the following probability model to answer the question.
Event: For each adult resident in a city we ask how many
vehicles they own.
Number of Vehicles
Probability
0.04
0
1
0.41
0.38
0.13
UWN
0.03
0.01
Find the probability that an adult resident has 3 or more
vehicles. Give your answer as a number between 0 and 1.

Answers

Answer:

Step-by-step explanation:

Number of Vehicles Probability

0 0.04

1 0.41

2 0.38

3 0.13

4 0.03

5 0.01

X= 1

.13+.03+.01=0.17 (the amount with 3 or more cars)  

0.17/1(Total amount of all probability)= 0.17 has 3 or more cars.

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability that an adult resident has 3 or more is 0.17

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The probability distribution of the number of vehicles is given as,

P(x) where x is the number of vehicles.

P(0) = 0.4

P(1) = 0.41

P(2) = 0.38

P(3) = 0.13

P(4) = 0.3

P(5) = 0.1

The probability that an adult resident has 3 or more.

= P(3) + P(4) + P(4)

= 0.13 + 0.03 + 0.01

= 0.17

Thus,

The probability that an adult resident has 3 or more is 0.17

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2

find equation for the line with slope -10/7 and goes through point (-35, -1)​

Answers

Answer:

y = -10/7x - 51

Step-by-step explanation:

y - y1 = m(x - x1)

y + 1 = -10/7(x + 35)

y + 1 = -10/7x - 50

y = -10/7x - 51

Suppose a white dwarf star has a diameter of approximately 1.8083 to the power of 4 km. Use the formula 4n to the power of 2 to find the approximate surface area of the star.

Answers

ANSWER:

The surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.

EXPLANATIONS:

Diameter of the star = 1.8083 x [tex]10^{4}[/tex] Km.

Surface area of the star = 4[tex]n^{2}[/tex]

Where n is the radius of the star.

So that;

n = [tex]\frac{ 1.8083 * 10^{4} }{2}[/tex]

   = 0.90415 x [tex]10^{4}[/tex]

n =  0.90415 x [tex]10^{4}[/tex] Km

Thus,

Surface area = 4 x [tex](0.90415*10^{4} )^{2}[/tex]

                     = 326994889

Surface area = 3.2700 x [tex]10^{8}[/tex] [tex]km^{2}[/tex]

Therefore, the surface area of the star is 3.2700 x [tex]10^{8}[/tex] square kilometres.

PLEASE HELP ME........​

Answers

Answer:

the answer is A!!!

i think it right not sure

What are indications of a computer hardware problem? Check all that apply.

The printer is printing in black and white.

The keyboard keys are getting stuck.
plz

The computer monitor is going blank.

The pointer of the mouse freezes.

The images on the monitor look sharp.

Answers

Step-by-step explanation:

the answer is the keyboard keys getting stuck, it's something you can touch and feel, thus it's an hardware problem

Answer:

The printer is printing in black and white

Step-by-step explanation:

Please help!
Alex knows 18% of the students surveyed at his school are dropped off by car, while 22% walk or ride bikes, and the rest ride the bus. Which table could represent this information?
Please hurry, im on a unit test!

Answers

walk 14% ride bike 8% Car 18% Bus 60%
OPTION B
CAN I GET BRAINLIEST PLS

Answer:

Option a  doesn't equal 100.

option b equals 100

c doesnt equal 100

d doesnt equal 100

the answer is b

Emilio made 51 potholders. Each potholder cost him $2.80 to make. If he sells each potholder for $3.26, how much profit will he make =)

Answers

Answer:

Your answer will be $166.26

Step-by-step explanation:

i found this out because i multiplied 51 times 3.26

if m=6 and n=12 what is 2m+5

Answers

Answer:

17

Step-by-step explanation:

2m+5

2(6)+5

12+5

17

Answer:

2m+5

2(6)+5 ( if m=6, n=12 )

2×6+5

12+5

17

Step-by-step explanation:

Hope it is helpful.....

Which of the following statements is NOT true about the graph of a system of equations with no solutions?

A. The lines will have the different slopes.
B. The lines will have different y-intercepts.
C. The lines will share none of the same points.
D. The lines will have the same slope.

Answers

Answer:

A

Step-by-step explanation:

A would be the best answer here because equations with no solutions would be parallel. That means they would have the same slope but with different y-intercepts. Since where the equations share points would be the solution, they cannot share points either.

can anyone tell me time it's 11:24PM for me​

Answers

Answer:

It's 11:55

Step-by-step explanation:

Which table represents a quadratic function?

Answers

Answer:

Step-by-step explanation:

the bottom one forms a straight line.. so not that one

but the top one looks more like a cubic function .. maybe it could be a quadratic.  

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