During an airplanes ascent, the plane reaches a horizontal distance from the airport of 1 km and then 7 km. The plane ascends at a slope of 2/3. Find the vertical distance (y) in feet that the plane traveled during the indicated spots

Answers

Answer 1

Answer:

The vertical distance in feet that the plane traveled was 4 Km

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

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

The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]

Operating:

[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]

Solving for y2-y1, we get the vertical distance traveled by the plane:

[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]

Thus, the vertical distance in feet that the plane traveled was 4 Km


Related Questions

please help me, this isn't a test or quiz I just need some help.

Answers

the right is answer is B) alternate exterior

4 • 7 – 6 2 ÷ 3 also show your work

Answers

Answer:

7   1/3

Step-by-step explanation:

Lets do this in steps ok? K!

Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!

Step 1-- 4 x 7=28

Step 2-- 62 divided by 3 = 20      2/3

Step 3-- 28- 20   2/3

Step 4-- 27   3/3 - 20    2/3= 7    1/3

Hope this helps ∞<3

Answer:

[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]

[tex]4\cdot7[/tex] = [tex]28[/tex]

[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]

[tex]28-62[/tex] = [tex]-34[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50​

Answers

Answer:

2.25 should be the right answer

Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^





(Please don't answer with anything random just for the points)

Answers

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?

Answers

The total score for the basketball game was 50 points.

What is percentage?

Percentage is a part of the whole number. It is denoted by % sign.

1 %= 1/100.

Given that,

Points scored by Marco in basketball game = 20

Also, points scored by Marco is 40% of the total score,

Implies that,

40% = 20

1 % = 20 / 40

To determine total score, find value of 100%,

100 % = (20 / 40) x 100

          = 50

The total score for the basketball game was 50.

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HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)

Answers

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

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Garret paid 20$ for five movie tickets find the cost per ticket



Megan paid 22$ for 7 books determine the cost per book

Answers

Answer:

Step-by-step explanation:

Cost of a ticket = Total cost ÷ number of tickets

                         = 20 ÷ 5

                         = $ 4

2) Cost of 7 books  = $ 22

Cost of a book = 22 ÷ 7

                         = $ 3.11

Answer:

4 dollars each for 1st question and 3.1 dollars for second question

PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER

Answers

Check yes for: (2,0) (-2,1) (0,3) (0,-1) (3,2)

Answer:

WHATT IS THIS MATH IT LOOKS SO HARD:0

Am not sure what this answer is

Answers

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

the correct answer would be D/ 100 pieces

Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

x = 97

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 72

Leg b = 65

Hypotenuse c = x

Step 3: Solve for x

Substitute [PT]:                    72² + 65² = x²Exponents:                           5184 + 4225 = x²Add:                                      9409 = x²Isolate x:                               97 = xRewrite:                                x = 97

footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park, the vertices of the footpath are (−4, 2), (8, 2), (11, 7), and (−1, 7).

Answers

Answer:

35.7

Step-by-step explanation:

Step one

Given the coordinates

ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).

AB=(−4, 2), (8,2)

BC=(8,2), (11, 7)

CD=(11, 7),(-1, 7)

DA=(-1, 7),(-4,2)

The distance between points AB=

[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]

[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]

The distance between points BC=

[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]

The distance between points CD

[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]

The distance between points DA

[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]

Hence the perimeter of the footpath= 12+5.8+12+5.8

=35.7


Suppose it takes John 45 minutes to run 4 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute

Answers

Answer:

28 minutes

Step-by-step explanation:

4 miles = 45 minutes

4 kilometers = (m) minutes

45 ÷ 4= 11.25

4 kilos= 2.48548 miles

2.48548 x 11.25= 27.96165

m = 28 minutes

- I hope this helps have a great day

John will covers 4 km distance in 28 minutes.

What is Rate of change?

A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.

Here, it is given that John takes 45 minutes to run 4 miles and is known that :

1 mile ≈ 1.61 km

that is for,

4 mile ≈ 6.44 km

John covers 6.44 km in 45 minutes, John will cover 4 km in :

6.44 km ⇒  45 minutes

1 km ⇒ 45/6.44 minutes

4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes

Therefore, John will covers 4 km distance in 28 minutes.

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Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?

Answers

Answer:

It takes aditi 5 hours to walk 17 miles.

Step-by-step explanation:

First, find her speed in miles per hour.

1.7 miles in half an hour.

1.7 * 2 = 3.4

3.4 miles per hour.

To find the time, use the distance formula.

Distance = rate * time

17 = 3.4 * time

17/3.4 = time

5 = time

PLS HELP ILL MARK AS BRAINLESS

Answers

Answer: Area is 2250 and the peremiter is 210

Step-by-step explanation:

Answer:

Area :2250

Perimeter: 210

Step-by-step explanation:

For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.

4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?

Answers

Answer:

15000

Step-by-step explanation:

please help which one of these answers is it?

Answers

Answer:

[tex] m\angle ABC = 35\degree [/tex]

Step-by-step explanation:

(3x - 70)° = x° (corresponding angles)

3x - 70 = x

3x - x = 70

2x = 70

x = 70/2

x = 35

[tex]

m\angle ABC = (3x - 70)\degree \\\\

m\angle ABC = (3\times 35- 70)\degree \\\\

m\angle ABC = (105- 70)\degree \\\\

\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]

Where is the blue dot on the number line?

Answers

it should be -2.1
if not then sorry

Answer: The blue dot is -2.1

Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?

Answers

Answer:

8 minutes

Step-by-step explanation:

48/3 = 16

That means he can download 16 songs in 1 minute.

128/16 = 8

This means he takes 8 minutes to download 128 songs.

8 minutes because 48/3 is 16
so 128/16 is 8
and 128/48 is 2.6
3x2.6 is 8

Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.

Answers

Answer:
H. Add 2 to both sides of the inequality.

Explanation:
To get x by itself, I would add 2 on both sides.

15 3/4 < -2 + x
+2 on both sides
17 3/4 < x

Will give crown will post more

Answers

Answer:

2, 7, 27, 42

Step-by-step explanation:

y = 5*1 -3 =2

y = 5*2 -3 =7

y = 5*6 -3 = 27

y = 5*9 -3 = 42

Answer:

See below

Step-by-step explanation:

[tex]y = 5x - 3 \\ \\ \begin{vmatrix}x &\: \: \: y \\ \\ 1&\: \: \: \boxed{\red {\bold 2} } \\ \\ 2&\: \: \: \boxed{\purple {\bold 7} }\\ \\ 6&\: \: \: \boxed{ \orange {\bold {27} } } \\ \\ 9&\: \: \: \boxed{\pink{\bold {42} } } \end{vmatrix}[/tex]

One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake

Answers

Answer:

1/8

Step-by-step explanation:

One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.

Answer:

Each person will get 1/8 of the whole cake but 1/4 of half of the cake.

Step-by-step explanation:

Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.

This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.

Answers

Answer:

ha you said C O C K

Step-by-step explanation:

BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)

Answers

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

What is polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

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Plz help. Will give brainliest for the best answer

Answers

Answer:

17.3

Step-by-step explanation:

You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.

GwhbbsnNn mmNlnananK a Kknaba

Answers

dysodjd kfudoandudslfhsotn

Tablets are on sale for 15% off original price with the function p(t)=0.85t

Answers

The answer would be 45% there you go

A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%

Answers

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

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What is the value of X?

A: 15
B: 27
C: 45
D: 12

Answers

Answer:

D

Step-by-step explanation:

If x = -5, which inequality is true?

A. -4 - 3x > 7

B. -2 - 6x 14

D. 7 - x < 6

Answers

Answer:

A

Step-by-step explanation:

Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs

PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

A(4, -3) ;      B(2, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]

m = -2 ;  A(4,-3)

[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]

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You're driving a bumper car at a circus at18 m/sec, and you hit another car that's atrest. If you end up going at 6.0 m/sec, whatis the final speed of the other car, giventhat both cars have 100.0 kg mass, youhave 80.0 kg mass, and the other personhas a mass of 70.0 kg? plz help asap i need help fast asap i will mark you brainlist Which of these student responses to Weve Got a Job: The 1963 Childrens March is an example of a text-to-self connection?A. Washs adventures remind me of exploring the woods with my friends.B. Washs adventures remind me of Americas period of westward expansion. C. Washs adventures remind me of the book The Adventures of Tom Sawyer.D, Washs adventures remind me of a magazine article entitled Leisurely Life. All levels of government combined consume abouta. one-tenth of the nation's output.c. one-half of the nation's output.mancing forb. one-third of the nation's output.d. three-fourths of the nation's output. Which part of the Constituti on was upheld and expanded by Gibbons v. OgdenA.) Article 3B.) Article 8C.) Amendment 5D.) Amendment 1 in what geographic areas do most of the people of east asia and southeast asia live? Why? find the least number that must be added to 1400 so as to get a perfect squre. full explanation Please help me I do not know how Read the excerpt from act 1 of The Monsters Are Due on Maple Street. STEVEThe two of us can go, Charlie.(he turns to look back at the car)It couldnt be the meteor. A meteor couldnt do this.He and Charlie exchange a look then they start to walk away from the group.What do the stage directions tell the reader about Steves and Charlies point of view?They do not want to leave their homes and walk into town.They suspect something strange may be going on.They know what caused the flash of light but do not want to say it.They are angry at the group of people for making them leave. random............... need help with the few questions PLZ HELP IM TAKING MY EXAM!! which of the following best explains the impact of mrna being double stranded before translation A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150 Write the slope-intercept form of the equation of the line through the given point and slope.Point: (-1, 2)Slope: 1. 1) Which person would MOST likely be able to make a personal connection to the story of John Devine? A) An American who prefers the sound of English accents above any other accent. B) A traveler who, while in Japan, has trouble understanding others' broken English. C) An American who moved to Canada and realized that while the language is the same, people use phrases and words very differently. A bus driver who cannot understand the people D) talking in the back of the bus because they are too quiet to hear from the driver's seat. PLEASE ANSWER ASAP WILL GIVE 20 POINTS IF CORRECT PLS ANSWER NOWWhat is the product of 3.4 10^-14 and 1.8 10^28? 6.12 10^14 9.4 10^14 5.2 10^42 6.12 10^42 What is the temperature if it is 9 colder than 15 F 4(m+3)=24m=?If you know the answer, please let me know. I really need help. Thank you.(If the answer is right, this person will be the smartest) Read the excerpt from "Healthy Eating." Unless you're trying to lose weight, nutritionists like to avoid diets. "We were just laughing about that, like we could sell fairy dust and that's pretty much what a lot of these fad diets are about," said Natalie Castro-Romero, the corporate dietician at Baptist who oversees the company's 15,000 employees. "One very common thing that happens is people feel overwhelmed and they need a starter to get something going, like a detox, but theres no truth behind that." For some people, small changes can lead to big results. Which statement best describes the author's argument in this part of the article? A- Diet plans are helpful only for people who want to make a change. B- People should not feel pressured to start living a healthier lifestyle.C- People do not need to take drastic measures to start eating healthier. D- Diet plans cause much more harm than people think they do. 2. What property of liquids explains why water beads up on the car surface?