Lucas is walking on a circular path modeled by the equation (x + 8)^2+ (y - 3)^2= 64 and Noal is walking on another circular path modeled by the equation (x - 10)^2 + (y - 3)^2= 100, where their
distances are given in meters. What is the maximum distance between the walkers at any given time?
18 meters
21 meters
36 meters
40 meters
pls help guys

Answers

Answer 1

The maximum distance between the walkers at any given time is (a) 18 meters

Lucas' equation on the circular path is given as:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

Noah' equation on the circular path is given as:

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

The equation of a circle is represented as:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

Where:

Center = (a, b)Radius = r

So, we rewrite both equations as follows:

[tex](x + 8)^2 + (y - 3)^2 = 64[/tex]

[tex](x + 8)^2 + (y - 3)^2 = 8^2[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 100[/tex]

[tex](x - 10)^2 + (y - 3)^2 = 10^2[/tex]

The radii of both equations are:

[tex]r_1 = 8[/tex]

[tex]r_2 = 10[/tex]

The maximum distance between the walkers at any given time is the sum of the radii

[tex]r = r_1 + r_2[/tex]

So, we have:

[tex]r = 8 + 10[/tex]

This gives

[tex]r = 18[/tex]

Hence, the maximum distance between the walkers at any given time is (a) 18 meters

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Answer 2

Answer:

36 meeters

Step-by-step explanation:

trust me bro


Related Questions

What is the equation for the line in slope-intercept form?
Enter your answer in the box.

Answers

Answer:1+1

Step-by-step explanation:

1+1=2

Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?

Answers

Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.

Total amount paid = $829Number of days used = 7 days

From the information that was given in the question, the equation to solve the question will be:

= (829 - 45) / 7

= 784 / 7

= $112 per day.

The correct option is $112 per day.

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James joins Club One which charges a monthly membership of $19.99. In 6 months, will he spend less than $120 in all?

Answers

Yes because if you do 19.99 times 6 you get 119.94

What is the multiplicative inverse for dividing 5\6 by 7\11

Answers

Answer: The value of 5/6 is 5 and the value 7/11 is 7.

Step-by-step explanation:

As a car ages, its value decreases. The value of a particular car with an original purchase price of $27, 200 is modeled by the following function, where
c is the value at time t, in years.
c(t) - 27, 200(1 -0.21)
a. What is the value of the car when it is 4 years old?
The value of the car after 4 years is Sl
b. What is the total depreciation amount after 5 years?
After 5 yehrs, the total depreciation amount is s[

Answers

a. The value of the car when it is 4 years old is approximately $13,645.23.

b. The car has depreciated by about $16,367.54 after 5 years.

To find the value of the car when it is 4 years old, we can substitute t = 4 into the given function:

c(4) = 27,200(1 - 0.21)^4

c(4) = 27,200(0.79)^4

c(4) ≈ 13,645.23

b. To find the total depreciation amount after 5 years, we need to find the difference between the original purchase price ($27,200) and the value of the car after 5 years. Using the function given, we can find the value of the car after 5 years by setting t = 5:

c(5) = 27,200(1 - 0.21)^5

c(5) = 27,200(0.79)^5

c(5) ≈ 10,832.46

Therefore, the total depreciation amount after 5 years is:

27,200 - 10,832.46 ≈ $16,367.54

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20/50 = 30/x solve for x

Answers

Answer:

x = 75

Step-by-step explanation:

20/50 = 30/x

Divide the numbers and find x. If you plug back in 75 for x and simply, you should get the same fraction for each, 4/10.

BRAINLIEST HELPPPP PLEEEASE

Answers

Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.

Answer: x + y = 0

a torist walks 10.5 inches in 3 seconds. how far does it walk per second​

Answers

Divide distance by time:

10.5 inches / 3 seconds = 3.5 inches per second

Answer: 3.5 inches per second

Answer: 31.5

Step-by-step explanation: you multiply the inches by the second.

if 5/7 of x is 5/21 then what's x?

Answers

[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]

Answer:

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

Hope you could get an idea from here.

Doubt clarification - use comment section.

Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.

Answers

Answer:

  25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (312.8 mi)/(12.5 gal) = 25.024 mi/gal

What is the midpoint of the line segment with endpoints (-4, 5)
and (4, 3).

Answers

Answer:

(0,4)

Step-by-step explanation:

use midpoint formula

The diagonal of a rectangle big-screen TV screen measures 152cm. The length measures 132cm. What is the height if the screen?​

Answers

Answer:

75.36cm

Step-by-step explanation:

We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;

height = [tex]\sqrt{5680} = 75..36 cm[/tex]

Ulises lives 2.5 miles from school. Convert the distance to feet.

Answers

Answer:

The answer is 13,200 feet.

Step-by-step explanation:

1 mile equals 5,280 feet, So all we have to do is multiply 5,280 by 2.5 miles.

5,280 * 2.5 = 13,200.

If you don't have a calculator you can multiply be splitting the parts.

5,280 * 2 = 10,560

+ 2,640 = 13,200

You get the 2,640 feet by dividing 5,280 by 2 because the 0.5 in 2.5 is half of a mile and 5,280 feet is a whole mile. Meaning that we have to cut the 5,280 in half to find the 0.5 in 2.5

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

13200 feet. Guaranteed

Step-by-step explanation:

Find all real zeros of the function f(x)=2x(x-1)2(x-5)2

Answers

The zeros are 0,1,-1,5,-5

Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?

A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept

Answers

Answer:

D. The point at x = 0 is x-intercept itself.

Step-by-step explanation:

First, substitute x = 0 in f(x) = sin(x) and examine the point and values.

When x = 0, sin(0) = 0.

Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.

The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.

Thus, A and B are not correct choices.

The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.

Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.

Answer: D is Correct on edmentum/plato

Step-by-step explanation:

/I could use some help i dont know this

Answers

Answer:

4.5+19.75=24.25

Step-by-step explanation:

The national debt of a county is the total amount of money the government of that country owes. Imagine everyone in the United States was asked to help pay off the national debt. How much would each person have to pay?

(*Hint: Use the numbers below in your calculations.*)

According to npr.org, as of Feb. 2019, the US national debt was $22 trillion.
According to the United States Census Bureau, as of 2018, the US population was 327.2 million people.


PLEASE ANSWER

Answers

Answer:

Each person have to pay $67,237

Step-by-step explanation:

Amount each person would pay = Total amount of debt/ Size of Population

= 22000000000000/327200000

= 67237. 164

Approximately $67,237

Answer: 46572

Step-by-step explanation:

It is how you do the math  look over your answers you got this

If f(x) = 4x2 + 2x + 7, find the value of f(-5).
=
A. -103
B. -83
C. 97
D. 117

Answers

D. 117
4(5)^2+2(5)+7
4(25)+(10)+7
100+10+7= 117

HELP PLS, ill reward w brainlist or whatever those things r JUST HELP

Answers

Answer:

I am not exactly sure of the answer, i am just trying to help

I think the angle O is 135

The triangle BOC is a right angle triangle which means that O is 90 degrees so when K splits it in half it becomes 45 degrees in both BOK and COK. The triangle you are asked to find the angle of is AOK so the 45 degrees from the BOK triangle and add it to the the 90 degrees from the BOA triangle you will get 135 degrees for the angle O in the triangle AOK.

I dont know if you understan what i am trying to say

Cuál sería el interés producido durante tres años, por un capital de s/30 000, al 5%

Answers

Answer:

2%

Step-by-step explanation:

Answer: la respuesta a tu pregunta es 2%

que tengas un gran día / noche!

Find the complex zeros of
[tex] f(x) = {x}^{3 } - 13 {x}^{2} + 59x - 87[/tex]

Answers

[tex]f(x) = 0 \\\\\implies x^3-13x^2+59x -87 =0\\\\\implies x^3 -3x^2 -10x^2 +30x +29x - 87=0\\\\\implies x^2(x-3) - 10x(x-3) + 29(x-3) =0\\\\\implies (x-3)(x^2 -10x +29) =0\\\\\implies x - 3 = 0 ~~ \text{or}~~x^2 -10x +29 = 0\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{-(-10) \pm \sqrt{(-10)^2 -4 \cdot 1 \cdot 29}}{2(1)}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm \sqrt{-16}}{2}\\\\\implies x =3~~ \text{ or} ~~ x = \dfrac{10\pm 4i }{2}\\[/tex]

[tex]\\\implies x =3~~ \text{ or} ~~ x =5 \pm 2i\\\\\text{Hence the complex roots are,}~ 5- 2i ~~ \text{and} ~~5 + 2i[/tex]

Multiply.

(−2/3) x (5/4)

Answers

Answer:

-5/6

Step-by-step explanation:

multiply the top

-10

multiple the bottom

12

you get

-10/12

or simplified

-5/6

Answer:

de 35

Step-by-step explanation:

a husband and wife discover that there is a 4% probability of their passing on a hereditary disease to 3 of their children if they plan to have their children what is the probability of the event that at least one child will inherit the disease

Answers

"4% probability of their passing on a hereditary disease to 3 of their children"

I'm not sure if this means that the possibility of them passing the disease to one child is 4%, or if the probability of them passing the disease to the collective three children is 4%.

In case its the first one:

To make this a little easier, if you think about it the only possible way for the condition "at least one child will inherit the disease" to be untrue is if all 3 children do not have the disease. Therefore we just need to calculate the probability of all 3 children not having the disease.

if the chance of having the disease is 0.04, then the chance of not having it is 0.96

for three children: 0.96*0.96*0.96

=  0.884736

to find the chance of this not happening:

1 - 0.884736

= 0.115264 ≈ 12%

there is a 12 percent chance at least one of the children will inherit the disease

In case its the second one:

the probability of all 3 children having the disease is 0.04,

the probability of 1 child getting the disease is unknown, x.

this means

x*x*x = 0.04

x ≈ 0.342

now we just basically repeat the steps above

1 - 0.342

= 0.658 (probability that one child does not get the disease)

0.658 * 0.658 * 0.658

= 0.284890312 (probability that all 3 children do not get the disease)

1 - 0.284890312

= 0.715109688 ≈ 72%

there is a 72 percent chance at least one of the children will inherit the disease

Work out the area of the shaded shape.

Answers

Answer:

61

Step-by-step explanation:

You can separate complex shapes like this one into 2 different shapes, to solve this question, find the area of both shapes, the rectangle, and the little square in the bottom right of the shape. It takes long to explain and I don't have much time but the answer is 61.

50 * 20 - 10 + 4 = ?

Answers

Answer: 994

Step-by-step explanation:

50 * 20 = 1000 - 10 = 990 + 4 = 994

A table of values of a linear function is shown below. Find the output when the input is n.

Answers

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

A force of 18 lb is required to hold a spring stretched 2 in. beyond its natural length. How much work W W is done in stretching it from its natural length to 7 in. beyond its natural length

Answers

Answer:

Step-by-step explanation:

Average force is (19 + 0)/2 = 9 lb

2 inches = 1/6 ft

W = Fd = 9(1/6) = 1.5 ft•lb

HELPPPP PLEASE I will give brainliest and I put it up for 100 points

Answers

..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨

Answer:

2xz⁵/y⁴

Step-by-step explanation:

Given expression:

[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]

Simplify considering like terms:

16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵

The simplified expression is:

2xz⁵/y⁴

what is the answer to this question?

posted a picture for better understanding:)

Answers

Answer:

-1.5 + 27

25.5

Step-by-step explanation:

-1.5 + 1 + 1.5 + 2 + 2.5 + 3 + 3.5 + 4 + 4.5 + 5

2. The table shows the elevation of four lakes.
Elevations of Bodies of Water
Lake
Lake Clipson
Lake Roney
Lake Harney
Lake Campbell
Elevation (ft)
117
66
81
97
Which lake has the highest elevation?
A Lake Clipson
® Lake Roney
© Lake Harney
0 Lake Campbell

Answers

IT SUPPOSED THE BE LAKE CLIPSON

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