A drone flies in a circular path around an object that is 100 feet east and 50 feet north of the drone operator. The drone's path takes it over a point that is 40 feet east and 30 feet south of the drone operator. Find an equation for the drone's path. Does the drone cross a north-south line through the operator's position? If so, where? If not, explain why. Suppose the drone operator is facing the object. Is the drone ever "behind" the drone operator? Why/why not?

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Let's plot the points for visibility

Operator position is origin (0, 0)Drone passes through points:(100, 50) and (40, -30)

The path makes a line. The equation in slope-intercept form:

y = mx + b

Slope:

m = (-30 - 50)/(40-100) = -80/-60 = 4/3

y -intercept:

50 = 4/3*100 + bb = 50 - 400/3 = - 250/3

The equation:

y = 4/3x - 250/3

Questions:

Does the drone cross a north-south line through the operator's position?

No, as y-intercept is not zero. See attached

Suppose the drone operator is facing the object. Is the drone ever "behind" the drone operator?

No. See attached
A Drone Flies In A Circular Path Around An Object That Is 100 Feet East And 50 Feet North Of The Drone

Related Questions

What is the truth value of the following statement? If a number is divisible by 3, then it is odd. True or False?

Answers

Answer: not true

Step-by-step explanation: :) Yay

using inductive reasoning, find the next two terms in the sequence. 1,1,2,3,5,8,13,__,__.

Answers

Answer:

20,29

Step-by-step explanation:

Answer:

21, 34

Step-by-step explanation:

1+1 is 2, 1+2 is 3, 2+3 is 5, 5+8 is 13 ext....

3. What is the value of |—9|?
A. 18
B. 9
C. 0
D. -9

Answers

Answer:

B) 9

Step-by-step explanation:

The answer s 9 because the absolute value symbols in the question mean the distance away from 0. In this case, -9 is 9 away from 0 so the answer is 9.

hope this helped!

'y
6-1, 5)
10
x
10
-2
-2
Which is the equation of the given line in slope-intercept form?

Answers

Answer10x

Step-by-step explanation:

Answer:

can you include a picture of the question

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x + x + 0.5x + y + y – 2. Who is correct? Explain

Answers

Answer:

both

Step-by-step explanation:

Both Gabriel and his sister are correct. The two expressions are equivalent. Gabriel’s sister just needs to combine her like terms to get the same expression as Gabriel

The wholesale price of a sweater is $35. The retail price of the sweater is 10% more than the wholesale price. What is the retail price of the sweater?

Answers

Answer:

$38.50

Step-by-step explanation:

35/10 =3.5

35+3.5=38.5=$38.50

If 10% of xis 20, what is 23% of X? ​

Answers

Answer:

46%

Step-by-step explanation:

Answer:

46%

Step-by-step explanation:

Hope it helps

if it does make me the brainliest pls

please help ? i’ll mark brainliest !

Answers

Answer:

Step-by-step explanation:

D

a value of x cannot give two or more values of y.

Answer:C

Step-by-step explanation:because 19 has two y

Jessica had 105 dollars to spend on 8

books. After buying them she had 17

dollars. How much did each book cost ?

Use b to represent your unknown

variable.

Answers

Answer:

each book cost 11 dollars

Step-by-step explanation:

If she had 17 dollars left at the end, subtract that from the total amount she had. 105-17= 88. Then youdevide 88 by 8 (because she got 8 books) and yu get 11

What is 115% of 4? Round to the nearest hundredth​

Answers

Answer:

4.6

Step-by-step explanation:

Answer:

4.6

Step-by-step explanation:

1. We assume, that the number 4 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 4 is 100%, so we can write it down as 4=100%.

4. We know, that x is 115% of the output value, so we can write it down as x=115%.

5. Now we have two simple equations:

1) 4=100%

2) x=115%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

4/x=100%/115%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 115% of 4

4/x=100/115

(4/x)*x=(100/115)*x       - we multiply both sides of the equation by x

4=0.8695652173913*x       - we divide both sides of the equation by (0.8695652173913) to get x

4/0.8695652173913=x

4.6=x

x=4.6

now we have:

115% of 4=4.6

I don’t understand need help

Answers

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

Simplify

1/4 + 4(1/2 - 3/4)^2

Answers

I think it’s 1/2

I hope this can help you

is 16.0 identified as a whole number?

Answers

Answer:

it is a rational number

Step-by-step explanation:

How do you know which function is the inner radius and which is the outer radius?

Answers

Step-by-step explanation:

Graphing them is the best way to tell (I put one from Desmos in th attachment scribbled on it a little to match our situation). Otherwise you'll just have to know which one is going to be where on the interval given; but that knowledge comes by graphing them a lot anyways.

Also remember to draw your strips/lines from the axis of revolution to the curves. The longer one will represent the outer radius of the volume and the shorter one the inner radius.

So:

Graph the functions.Draw your strips/linesOuter is longer, Inner is shorter

Comment with any questions.

Please help with this question.

The model represents an equation. What value of X makes the equation true?
A) 9
B) 9/4
C) -9
D) - 9/4

Answers

Answer:

-9

Step-by-step explanation:

Reggie travels 300 km in one hour what is Reggies speed in kilometers per hour

Answers

Reggie travels 300 km an hour

9squared plus 3 squared equals

Answers

90 is the answer. hope that helped

Answer:

90

Step-by-step explanation:

9^2  +  3^2  equals:

81     +  9    = 90

How can you tell Is something is a unit rate

Answers

Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.

For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.

For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:

interest/amount invested

revolutions/minute

salary/year

Conversationally, the word ''per'' indicates we are using a unit rate.

When factored, the trinomials x2 + 4x − 21 and x2 + 11x + 28 have one binomial factor in common. What is this factor?

x − 7
x + 7
x − 5
x + 5

Answers

Answer:

x + 7

Step-by-step explanation:

x2 + 4x − 21

set equal to 0

x2 + 4x − 21 = 0

factor

(x - 3) (x + 7)

x2 + 11x + 28

set equal to 0

x2 + 11x + 28 = 0

factor

(x + 4) (x + 7)

I neeeeeed help really fast, please!! 0 X 0 = ?

Answers

The answer is zero 0

Answer:

0

Step-by-step explanation:

I need help please. G

Answers

Answer:

EBD is 135, ABE is 45

Step-by-step explanation:

can you please give me a short brief answer

Answers

Answer:

120 yards 1.

Step-by-step explanation:

In the shape, it is a rectangle with a triangle cut out from it. What is the area of the shape:

Area of rectangle = length × width

12 × 15 = 180 yards²

Area of triangle = ½ × base × height

½ × 10 × 12 = 60 yards²

Now subtract the area of triangle from the area of rectangle:

180 - 60 = 120 yards ²

One size of pizza served at Joe’s Pizza Parlor is 10in. in diameter. What is the area of this particular (circular) size pizza? (Pie=3.14)

Answers

Answer:

78.5 in.²

Explanation:

Formula For Area Of Circle: Area = πr²

π: 3.14

r (Half Of Diameter): 5

r²: 25

3.14 · 25 = 78.5

What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?

Answers

Answer:

(4,3),y=(7)/(4)x+1

Step-by-step explanation:

To find an equation that is parallel to y = 7 4 x + 1 y=74x+1, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. ( 4 , 3 ) (4,3) m = 7 4

Using the point-slope form y − y 1 = m ( x − x 1 ) y-y1=m(x-x1), plug in m = 7 4 m=74, x 1 = 4 x1=4, and y 1 = 3 y1=3. y − ( 3 ) = ( 7 4 ) ( x − ( 4 ) )

Solving for y:

Multiply − 1 -1 by 3 3. y − 3 = ( 7 4 ) ( x − ( 4 ) ) y-3=(74)(x-(4)) Simplify ( 7 4 ) ( x − ( 4 ) ) (74)(x-(4)).

y − 3 = 7 x 4 − 7

y = 7 x 4 − 4 y=7x4-4 Reorder terms. y = 7 4 x − 4

Nfjjrjejeejjetyggbhccccccftdurfgo

In the diagram below, we are given A(1,5) and B(1,3). The area of rectangle ABCD is 10 units' What are the coordinates of point C? A.(5,3) B(6,3) C(5,5) D(6,5)​

Answers

Answer:

(6,3)

Step-by-step explanation:

One way you can do it is by using an coordinate grid or doing the x values of C-B which will give you 5 and x values of A+B which is 2. Them multiply 5*2= 10

X + x + x + x = 28
Solve for X

Answers

Steps to solve:

X + x + x + x = 28

~Combine like terms

4x = 28

~Divide 4 to both sides

x = 7

Best of Luck!

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

[tex]x+x+x+x=28[/tex]

Add the "x" variables together:

[tex]4x=28[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{28}{4}[/tex]

[tex]x=7[/tex]

35-40 first with the correct answers will get brainliest

Answers

Answer:

35.w/g=m

36. P=1/2Q-15

37. R=IV

38. b=-mx+y

39. a) t=-d-e+f

     b) t=19.175

40. No, X=-2.4

Step-by-step explanation:

Explanation for 40:

2(x-4)-4x=-6x+9x+4

first do the parentheses

2x-8-4x=-6x+9x+4

next combine like terms

-2x-8=3x+4

add 2x to each side

-8=5x+4

subtract 4 from each side

-12=5x

divide both sides by 5

x=-2.4

10. Shawna's Bikesrents bikes for $20 plus $4
per hour. Jaidee paid $52 to rent a bike. For how
many hours did she rent the bike?

Answers

Answer:

she rented to bike for 8 hours

Step-by-step explanation:

52-20=32

32/4=8

WILL GIVE BRAINLIEST!!!
100 POINTS!!!!
PLEASE HELP DUE TODAY!!!!!

Arguments:
A There is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

B There is no need for students to use a compass and straightedge, and all geometric constructions should be done using a drawing program.

What needs to be done:

A summary of your argument. The summary should begin with the argument statement you chose.

In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better.

A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites

Answers

Three reasons why the other method is not better is because to use drawing program would mean you would need some sort of technology and electricity to use it and some places, like third world countries, do not have access to that, so most probably you would have to resort to paper. Also, drawing programs are based off the skills needed to create geometric figures with a straightedge and compass. And lastly, what if we had no more technology anymore? Then how would we use a drawing program? Drawing programs are only reliable when electricity is located.

SO THE ANSWER IS A hope it help :)

I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

The compass and straightedge can be used anywhere. The compass and straight edge have been around for lots of years. They are a valuable tool for students in math and in real world applications. The compass and straightedge are portable and handy to use any given time. That is why there is a need for students to understand and be able to construct geometric figures using a compass and straight edge.

The compass and straight edge have been used to accurately create geometric figures for thousands of years. This shows that they are accurate and useful to us. Using technology is less reliable for many reasons. Technology can break, or glitch and shut down, making you lose all your work. You cannot draw on physical objects with an iPad like you could with a pencil or pen. Having a physical copy of things makes things easier to keep track of. Having a blueprint would be better than having a drawing on your phone. You can get another blueprint, but if your phone breaks and that drawing isn't saved, it's gone.

These are only a few reasons why I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

60 inches of plastic are folded to make a picture frame. The height of the finished frame is 6 inches. How long is the frame?

Answers

Step-by-step explanation:

This is a perimeter problem

P=2l+2w

60=2(6)+2w

-12 -12

48=2w

W=24inches

HOPE IT WILL HELP YOU

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