Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Answers

Answer 1

 

Center:  ( 6 , 8 )

Radius: 5

Answer 2

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]


Related Questions

5 + {[2 X (14 - 9)] - 1}​

Answers

Answer:

14

Step-by-step explanation:

[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]

if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2

Answers

Answer:

2.5/40=2/y

2.5y=40x2

2.5y=80

y=80/2.5

y=32

PLZZ HELP!!!
Which graph shows the solution to the system of equations 2x + y = 4 and 3x - 2y = 6?

Answers

Answer:

the last one

Step-by-step explanation:

__________________

Determine the volume if the figures below round to the nearest hundredth

Answers

Answer:

48 m³

4,186.67 km³

Step-by-step explanation:

volume of pyramid =

⅓×6×6×4 = 48 m³

volume of ball =

4/3 × 3.14 × 10³ = 4,186.67 km³

what is the volume of a bow with a width of 3/2 inches a length of 5/2 inches and a height of 4 inches

Answers

Answer:

v=LxWxH

v= 3/2x5/3x4

v=15/6x4

v=10in³

The interest for a bank account is compounded quarterly. The equation 480(1.08)12 is used to calculate the value of the account after some amount of time.
The yearly interest rate for the account is
8%
3%
2%
32%
12%

Answers

Answer:

8%

Step-by-step explanation:

1.08 is an increase of 0.08, which is 8%

Answer: 3%

Step-by-step explanation:

since the total amount ended up being 12 your going to divide by 4 which is the quartly amount which is how u end up with 3%.

4(x+2) help please.

Answers

Answer:

4x + 8

Step-by-step explanation:

4(x+2)

4*x + 4*2

4x + 8

[tex] \large\sf \leadsto 4(x + 2)[/tex]

[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]

[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]

How do I solve this?

Answers

Answer:

find all numbers, stick together o make an uqaion and solve . simplifi if needed

Step-by-step explanation:

probability of an even number both times

Answers

Answer:

1/4

Step-by-step explanation:

The possible outcomes are :

1,2,3,4,5,6

We can see that there is a 3/6 (or 1/2) chance the outcome is even

Let E= odds of getting an even

we're looking for E∩E

Because each roll is independent of the last we can multiply to find their intersection

.5*.5= .25 or 1/4

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer: 4.2

Step-by-step explanation:

Here's the formula for how to find the hypotenuse: (a and b are the two legs for the triangle-- it doesn't matter which leg is a and which leg is b, but c MUST be the hypotenuse)

[tex]a^2+b^2=c^2[/tex]

[tex]1.9^2+3.8^2=c^2[/tex]

[tex]3.61+14.44=c^2[/tex]

[tex]18.05=c^2[/tex]

[tex]\sqrt{18.05} =c[/tex]

[tex]c=4.2[/tex]

Solution,
Given from question
h= ? , b=1.9mm and p=3.8mm
We know h^2 = b^2 + p^2
So = (3.8)^2 + (1.9)^2
= 14.44+3.61
=18.05
We know h^2 = 18.05 so
:• h = 4.25mm so
C = 4.25 mm answer

Find the surface area of the hemisphere 6cm

Answers

Answer:

452.4 cm^2

Step-by-step explanation:

[tex]a = 4\pi {r}^{2} \\ a = 4 \pi \times (6)^{2} \\ a = 452.4 \: cm^{2} [/tex]

I hope that is useful for you :)

Solve for x. please help as fast as possible

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

6x=36

÷6 ÷6

x=6

hope this helps,have a great day!!

~Pinky~

What is the volume of the rectangular prism? Help pls

Answers

Answer:

10ft³

Step-by-step explanation:

3 x 5 x 2 = 30

30 x 1/3 = 10ft³

When oil is spilled in water, it creates a thin film of water approximately 1 micron thick. A barrel of oil is approximately 42 gallons of oil. If we spill a barrel of oil on the water, what is the area covered by the oil slick

Draw a sketch showing the relevant dimensions.
State your answer in square meters.
State your answer in square kilometers.

Answers

9514 1404 393

Answer:

158,987 m²0.158986 km²

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Why did the farmer open a bakery?

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

Step-by-step explanation:

Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...

Can you please help me

Answers

Answer:

is there amultipe choice answer if so list them down

Step-by-step explanation:

Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!

Answers

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sqrt 4^2+3^2=5

c= /4^2 + 3^2
c= 16 + 9
c= 25
I think this is it

can someone help me please​

Answers

Answer:

perimeter: 36

area: i dont know sorry

Step-by-step explanation:

In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.

Answers

Answer: B. objective is expressed in terms of the decision variables

Step-by-step explanation:

Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.

The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.

Therefore, the correct option is B

An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:

x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31

Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)

Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:

Answers

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

PLEASE HELP WILL MARK BRAINLYIST HELP

Answers

Easy it 7/8. Hope this help. Don’t forget to mark me as BRAINLYIST THANKS
Your answer is A. 1/8 gallons/daily
Explanation
1/2 divided by 4 = 1/8

Just trust me, and mark me brainliest ty

Have a nice day!

What expreassion is equivalent to 5(d+1)

Answers

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.

125 ft to yd what is the answer

Answers

Answer:

your answer is 41.6667

Answer:

41 2/3 yards

Step-by-step explanation:

Divide by 3 because 3ft in one yard

125 / 3 = 41 2/3 yards

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).

What is the measure of the smallest angle in the triangle?

O A. 17°

O B. 190

O c. 25°

OD. 57°

Answers

Answer:

c. 25°

Step-by-step explanation:

Sum of angles in a triangle:

The sum of the measures of the angles of a triangle is 180º.

In this question:

Angles of 3x, 2x-13 and 5x + 3.

The sum is 180º. So

[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]

[tex]10x - 10 = 180[/tex]

[tex]10x = 190[/tex]

[tex]x = \frac{190}{10}[/tex]

[tex]x = 19[/tex]

Measure of each angle:

3x = 3(19) = 57º

2x - 13 = 2(19) - 13 = 38 - 13 = 25º

5x + 13 = 5(19) + 3 = 95 + 3 = 98º

The smallest angle is 25º, and the correct answer is given by option c.

which expression has a value equal to 28 divided by 4

Answers

Answer:

28/4

7

56/8

14/2

63/9

70/7

√49

∛343

to bake a cake, the recipe calls for 6 eggs. Arline wants to bake 24 cakes for her schools bake sale. how many eggs will she need in all for the 24 cakes?

Answers

The answer is 144.

Answer:

144 eggs

Step-by-step explanation:

1 cake = 6 eggs

24 * 6 = 144 eggs in total.

A longer way to do it is by adding 6, 24 times.

6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6 = 144

But by multiplying, it makes it easier to find the answer.

Find the value of x

Answers

Answer:

x=-0.5 or x=-1/2

Step-by-step explanation:

The one above answered it !

Solve the equation of 4y=20 then find the value of y?

Answers

Answer:

y=5

Step-by-step explanation:

Answer:

4y=20

y=20/4

y=5

Step-by-step explanation:

Hope this helps u!!

!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above

Answers

Answer: A

Step-by-step explanation:

4.7+2.8 = 7.5

And

7.5 -4.7 = 2.8

Other Questions
How should Simon use the theory of relativity todescribe what the astronaut must do in order to hit thebutton?Simon is writing a story about an astronaut whosespacecraft has been boarded by space pirates. Theastronaut has her lucky penny in her hand behind herback as the space pirates break into the control room.She has just locked the controls so that the ship isaccelerating in the direction of the control room'sceiling. Simon wants the astronaut to use the penny tohit a button on the control panel to turn off the lightsand escape. The button is located a short distancebehind and below the astronaut's hands.O The astronaut should toss the penny straight up asit will appear to fall in an arc because objects in anaccelerating frame of reference behave in the sameway as they would in a gravity field.O The astronaut should just let the penny go, as thecontrol panel will accelerate upward and curvetoward the astronaut because there is no gravityfieldO The astronaut should toss the penny horizontallystraight behind her as it will appear to fall in an arcbecause objects in an accelerating frame ofreference behave in the same way as they would ina gravity field.The astronaut should toss the KEY QUESTION: WHAT WAS THE IMPACT OF PSEUDOSCIENTIFIC IDEAS OFRACE ON THE JEWISH NATION BY THE NAZI GERMANYDuring 1946? 5. What are four reasons why the Industrial Revolution began in Great Britain? 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PSYCHOLOGY QUESTIONA group of neurons that serve as the physical representation of memory is known as the a) didoed b) fluxxc) engram What expreassion is equivalent to 5(d+1) An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5 x2: 30 42 47 47 43 41 48 44 43 50 56 60 y: 210 110 103 103 91 76 73 70 68 53 45 31 Use the following R Code to complete the regression analysis: x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5) x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60) y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)Required:According to the output, what is the least squares regression equation = bo + b1x1 + b2x2: Which of the following are ways that deserts form? (Choose all that apply.)- weathering of rocks- equatorial winds- rain shadow- cold ocean currents What are your thoughts on putting Rizals image in the one peso coin instead of a thousand peso bill?