Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Answer:

Example of an equation with an undefined slope: x = 2

Step-by-step explanation:

The standard form of linear equations with an undefined slope is x = a, whose graph represents a vertical line. The value of a in the standard form is the x-intercept, (a, 0).  

The slope is the ratio of the vertical change in y-values to the horizontal change in x-values.

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}}[/tex]

The slope of a vertical line is undefined because if we were to solve its slope, the denominator will be zero. As we know, division by zero is an undefined operation.  

For example, suppose that we have the following points (2, 5) (2, 10).

Let (x₁, y₁) = (2, 5)

     (x₂, y₂) = (2, 10)

Substitute these values into the slope formula:

[tex]\displaystyle\mathsf{Slope(m) =\:\frac{\triangle y}{\triangle x}\:=\frac{y_2 - y_1}{x_2 - x_1}\:=\:\frac{10\:-\:5}{2\:-\:2}\:=\frac{5}{0}}[/tex]

Dividing the numerator, 5, by the denominator, 0, will have an undefined quotient.

Thus, the equation of the vertical line will be: x = 2, where a = 2.

Answer:

10,   C = circumference = 2 pi 11 = 69.11 since the radius = 6

PR = C / 2 = 34.6  since PR is 1/2 the circumference

PS = 34.6 - 16 = 18.6    since PS is 16 ft short of C/2

Answer:

Step-by-step explanation:

Answer: 27/28 or 0.9642857

Step-by-step explanation:

5/7 + 1/4 = 5 · 4/7 · 4 + 1 · 7/4 · 7 = 20/28 + 7/28 = 20 + 7/28 = 27/28

Answer:

90

Step-by-step explanation:

first you do 11 + 11 =22

23+45=68

now im postitive you add 68 and 22 and get you final answer which is ...

90

Answer:

1 23/45

Step-by-step explanation:

Start by multiplying numerators and denominators to get the LCD in all fraction denominators

=11×45/11×45+23×11/45×11

Then rewriting the equation with the equivalent fractions

=495/495+253/495

With like denominators we can operate on just the numerators

=495+253/495

=748/495

Simplifying the answer

=68/45

=68/45

=1 23/45

Answer:

[tex]y= \frac{1}{2}x+3[/tex]

Step-by-step explanation:

Rearrange equation to isolate y variable.

[tex]16y=8x+14[/tex]

Divide by 16 on both sides.

[tex]y=\frac{1}{2} x+7[/tex].

To make the line parallel to the given equation and pass through (3,0),

we will move the y intercept to 3.

[tex]y= \frac{1}{2}x+3[/tex]

Answer:

x = 12.81

Step-by-step explanation:

Given:

Let's simplify.

Therefore, r ≈ 2.82.

Hoped this helped.

Answer:

r= 5/√  π

or

r=2.820948 or simplified =2.82

​

Step-by-step explanation: it could be either one of these

Answer:

Each goat gets 3 carrots and there are 4 extra carrots left

Step-by-step explanation:

5*3=15

OR: If you wanted to do it exact you give each goat 3 carrot's and an 1/8th of one and you'd have no extra carrots left.

5*3.8=19

Answer:

the answer is simple 3 remainder of 4

Step-by-step explanation:

so he had 5 goats and 19 carrots  

19/5=3.8 which mean 3 and 4  left

[tex]\huge \bf༆ Answer ༄[/tex]

According to the given information, The Triangle should be ~

It's because the Triangle has two equal sides 6.6 inches each. and One right angle (90°) ~

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

x (x + 2) - 6 (x + 2) = 0

(x - 6) (x + 2) = 0

Then the solutions are x = 6 or x = -2.

Answer:

blue

Step-by-step explanation:

a b c d e

1 2 3 4 5

27-25=2

so b, or blue

Answer:

The line representing the number of ounces of chicken required to serve x people is steeper than the line representing the number of ounces of fish required to serve x people.

Step-by-step explanation:

I took the test

Comparing the two graphs, we can conclude that: the graph representing the number of ounces of chicken required to serve x people has a steeper slope than the graph representing the number of ounces of fish that will serve x people

Recall:

Given the following:

Graph representing the number of ounces of chicken required to serve x people: y = 7x

The slope is 7.

Graph representing the number of ounces of fish required to serve x people: y = 5x.

The slope is 5.

Learn more about slopes on:

https://brainly.com/question/12242745

Answer:

1/36.

Step-by-step explanation:

She gets 1 on the first dice and 1 on the second.

This is the only way Sarah can get a sum of 2.

The total  possible outcomes is 6*6 = 36.

So the required probability is 1/36.

The equation that can be used to represent the weight of the dog when he was 6 months old is 64/x.

The equation that can be used to represent the dog's current weight is: 64 = 3x

Where x represents the weight of the dog when he was 6 months old

In order to determine the value of x, divide both sides of the equation by 3

x = 64/x

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

the answer is below

Step-by-step explanation:

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

Step-by-step explanation:

I think you mean you want to find out 40% of a number,, when 60% of it is 180, so I'll answer that:

60% = 180

÷6

10% = 30

x4

40% = 120

(if you want to find 100%, multiply 30 by 10)

Hopefully this helps :)

I'm pretty sure the answer would be D) P = 20.2x + 1.3 but the answer should be P = 19.2x + 1.3, but it isn't listed so it would be D

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

From what I understand from the question,

you're looking for the difference between f(x) and f(x+4)

lets take the points f(-3) and f(1)

the difference is 0.5 - -1.5=2

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

Answer:

3 km

Step-by-step explanation:

He starts by going 5 km east, then he turns around and goes 2 km west. So he is now 3 km from his house.

Answer:

i'm assuming you want to solve for t?

t=(2√3+3)/6

Answer:

is it $120?

Step-by-step explanation:

Answer:

1,988$

Step-by-step explanation:

4x7=28x71