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

B
1
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(4x+6)
(5x -5)
7
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Answers

Answer:

B

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pleasee help!! im confused

Answers

Answer:

28k + 68

Step-by-step explanation:

7(8 + 4k) + 12

first, you use the distributive property on the parentheses

56 + 28k + 12

then you add like term, 56 + 12 = 68

68 + 28k

numbers with variables go first

28k + 68

How many numbers can fit in a number place?

Answers

1

theres 1 number for each number place

(5, 4) (7,10)
find the slope

Answers

Answer:

3

Step-by-step explanation:

The difference between the y coordinates is 6.

The difference between the x coordinates is 2

The slope is rise over run so in this case, the rise is 6 and the run is 2.

This makes our slope:

6/2

This can be simplified to 3/1 so the slope is 3.

Which of the following relations describes a function?
OA. {(-3,-4), (-4,-3), (3, 4), (4,3)}
OB. {(3,-1), (3, 1), (4, -1), (4, 1) }
OC. {(3, 3), (3, 4), (4,3), (4,4)}
OD. {(0,0), (0, 3), (3, 0), (3, 3) }

Answers

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

Factorise the expression 6x^2-13x+6 and hence solve the equation 6x^2-13x+6=0

Answers

Answer:

Part A

The factored form of the expression, 6·x² - 13·x + 6 is (2·x - 3) × (3·x - 2)

Part B

The solution of the equation 6·x² - 13·x + 6 = 0 are x = 3/2 or x = 2/3

Step-by-step explanation:

Part A

The given expression to factorize is 6·x² - 13·x + 6, which can be written as follows;

6·x² - 13·x + 6 = 6·x² - 4·x - 9·x + 6

The 13·x is split at - 4·x - 9·x

6·x² - 4·x - 9·x + 6

2·x·(3·x -2) - 3·(3·x - 2)

Bringing out the common factor (3·x - 2) gives;

(2·x - 3) × (3·x - 2)

Therefore, the expression 6·x² - 13·x + 6 in factored form is (2·x - 3) × (3·x - 2)

Part B

Solving the equation, 6·x² - 13·x + 6 = 0, therefore gives;

6·x² - 13·x + 6 = (2·x - 3) × (3·x - 2) = 0

Therefore, either (2·x - 3) = 0 and x = 3/2 or (3·x - 2) = 0 and x = 2/3

From which we have 6·x² - 13·x + 6 = 0 when x = 3/2 or 2/3 and x = 3/2 or x = 2/3 are the solution of the equation 6·x² - 13·x + 6 = 0.

Which function represents the sequence -5.5, -4.75 -4,-3.25... ?​

Answers

The answer I think should be
C main

Ricardo open a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals . The account earns 1% simple interest. What is the total amount that Ricardo will have in his account at the end of 3 years ?
A:$168.00
B:$56.00
C:$576.80
D:$565.60

Answers

Answer:

C

Step-by-step explanation:

In a game of spinning wheels, Ann got to spin a wheel twice. She scored –50 points for the first spin and 90 points for the second spin. If her score at the beginning was zero, then what would be her total score after the two spins?

Answers

Answer:

40

Step-by-step explanation:

-50 + 90 = 40

Select the correct answer.
Which function has the same zeros as g(x) = -x3 + x2 + 12x?
ОА. .
y
-30
-20
10
1-10
-8
-6
-4
-2
6
8
10
-10
20

Answers

Answer: -30

Step-by-step explanation:

-30 bc it has the same functions.

Answer:

points -3,0,4 on a graph

Step-by-step explanation:

correct on edmentum or plato

Which of the following shapes are congruent?

Answers

Answer:

2nd option.............................................

Savannah and Reagan both work in a grocery store. They each stocked the same number of shelves last Saturday, but it took Reagan less time. They've been told that they'll spend their entire 4-hour shifts next Saturday stocking shelves. If their average speeds are consistent, who will likely stock more shelves next Saturday?

HELP!

Answers

Answer:

Reagan

Explanation:

Since Reagan is able to stock the same number of shelves as Savannah while spending less time to do so, it means that Reagan is able to stock shelves faster than Savannah, thus Reagan is able to stock more shelves than Savannah given that their average speeds are constant and that they both work under 4-hour shifts.

Hope this helps :)

One angle is five degrees less than three times the degree measure of another angle. Together, the angles measures have a sum of 143°. What is the measure of each angle?

Answers

Answer:

a

Step-by-step explanation:

Is this set of ordered pairs a function ? (1,9) (0,8) (3,0) (4,9) (7,7).

Answers

Answer:

It is not a function because the output of 9 repeats.

(1,9) (4,9)

:D

Is 18x-2y = 26 linear or non linear?

Answers

Answer: it’s a linear function

Step-by-step explanation:

18x-2y=26 as -2y= -18x + 26 by adding 18x to both sides, and then y=9x - 13 by dividing both sides by -2. So, it represents a linear function

Answer:

It's linear

Step-by-step explanation:

18x-2y=26

Because it has two variables x and y

A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.

Answers

Answer:

8 full servings

Step-by-step explanation:

1/2 cup of mix left

Bhurashi can do 1/3 part of work in 6 days. (I) In how many days would she complete the whole work​

Answers

We can write this as an algebraic expression, 1/3x = 6, where x represents the amount of work Bhurashi has done. This means that by multiplying 3 on both sides, we get x (100% of the work) = 18 (days).

Help!! Please and thank you

Answers

Answer:

       110.9 cm³

Step-by-step explanation:

[tex]V=\frac13\cdot A_b\cdot H[/tex]

[tex]A_b[/tex]  - Base Area

H - Height of the pyramid

Base is regular triangle:  [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]

The volume:

                    [tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]

Write 12 1/3 as an improper fraction.

Answers

Answer: 37/3

Step-by-step explanation:

12 1/3 = 12*3+1/3 = 37/3

Answer:

[tex]\frac{37}{3}[/tex]

Step-by-step explanation:

[tex]12\frac{1}{3}[/tex]

When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:

[tex]12*3=36[/tex]

Then, add the numerator the the product:

[tex]36+1=37[/tex]

Now, put the sum over the denominator to get your solution:

[tex]\frac{37}{3}[/tex]

-

To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].

Divide [tex]37[/tex] into [tex]3[/tex]:

[tex]12[/tex] with a remainder of [tex]1[/tex]

Put the remainder over the denominator:

[tex]12\frac{1}{3}[/tex]

Therefore, our solution is correct!

Chase wants to earn at least $900 this month in commission. What is the minimum amount he needs to sell in order to earn $900 if he earns a 3.3% commission on everything he sells? Round to the nearest dollar.

Answers

Answer:

$27,272.73= sales

Step-by-step explanation:

Giving the following information:

Desired commission= $900

Commission rate= 3.3% = 0.033 of sales

To calculate the sales required, we need to use the following formula:

Commission= sales*commission rate

900= sales*0.033

900/0.033= sales

$27,272.73= sales

Answer: $27,273

Step-by-step explanation:   900a=3.3100                 Write the proportion. Let a represent the amount he needs to sell.

    900a=3.3100                 Because  3.3×272.72=900 , multiply 100 by  272.72  to find a.

90027.271=3.3100                100 ×  272.72  ≈ 27,273,  so a = 27,273.

Chase needs to sell $27,273 to earn $900 in commission.

Will mark Brianliest answer correctly !!!!!!!!!! Pleaseeee helpppp !!!!!!!!!!!!!!!!!

Answers

it would be 2 Square root 10
2 is the square root of 10

How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee

Answers

Answer:

3 I did the test to btw

Step-by-step explanation:

did the test

Find y.
A. 6
B.2
C.7
D.4

Answers

Answer:     HOPE THIS HELPS GOD BLESS  PLEASE TOUCH THANKS

C.8

 Step-by-step explanation:

The graph of a Function f(x) is shown below:

What is the domain of f(x)?

Answers

Answer:

69

no

U will not get answers on a test noob

Answer:

Step-by-step explanation:

domain includes alll values of x so are from -1 to 2 except 0

[-1, 0) ∪ (0, 2]

Anyone know the answer??

Answers

The slope to a parallel line would be : 2/1
The slope to a perpendicular line would be -1/2

what is y-5=3(x+2) in slope intercept form​

Answers

Answer:

y=3x=11 .

Step-by-step explanation:

Because this y=mx+b converted in Intercept form is the answer i already gave you :).

How many tables that seat eight are required to provide places for 62 people at a banquet

Answers

Answer:

8

Step-by-step explanation:

62 divided by 8 is 7.75

you can't cut people so round it up and you get 8

For the function y = 4x – 2, what is the value of the function when x is equal to -3?

Answers

y= -14 !!! positive

Answer:

the value of y would be -14

Write the equation of the line in slope intercept form that passes through the point (6, -1) and has a slope of -2.

Answers

Answer:

Y=6X-32

Step-by-step explanation:

Answer:

y-y1=m(x-x1)

y-6=-2(x-(-1))

y-6=-2(x+1)

y-6=-2x-2

y=-2x+4

Step-by-step explanation:

Use long division to calculate 276 ÷ 15

Answers

Answer:

18.4

Step-by-step explanation:

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