Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *

Answers

Answer 1

Step-by-step explanation:

Given :-

Centre = (-13,-2) Diameter = 24

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

Standard equation of circle :-

[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]

Where (h,k) is centre and r is radius.

[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]


Related Questions

Part 1 l: Jose and Tamika are married with three children . If they decided to combine their income taxes and complete one tax form , what is their filing status ? . Part 2: Jose makes $54,923 and Tamika has an earned income of $49,500 for the year. Using your answer from part 1 how much will they owe in taxes?

Answers

Answer:

that is you ni report kits

What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT

Answers

c. closing costs is the correct answer.
The answer is D. Closing costs

What is 3(4x−8) in simplified form?

7x−11

12x−8

12x + 24

12x−24

Answers

12x-24
Explain: 3(4x-8) —> 3*4x= 12x. 3*-8= -24
Therefore: 12x-24

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3(4x - 8)}}\\\huge\text{DISTRIBUTE 3 WITHIN the PARENTHESES}\\\huge\boxed{\mathsf{= 3(4x) + 3(-8)}}\\\huge\boxed{\mathsf{= 12x - 24}}\\\\\huge\boxed{\textsf{Answer: Option D. \bf 12x - 24}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Plz help me

Use the discriminant to determine The number of solutions to the quadratic equation -x^2+10x-2=0

Answers

Answer:

x=-5

Step-by-step explanation:

i just solved the problem

Answer:

=5±√23

Step-by-step explanation:

        -10+2√23

= -------------

               -2

         -10-2 √23

= -------------

                -2

Solve: 4 (x + 2.5) = 48

Answers

Answer:x=19/2

Step-by-step explanation:

4(x+2.5)=48

Step 1: Simplify both sides of the equation.

4(x+2.5)=48

(4)(x)+(4)(2.5)=48(Distribute)

4x+10=48

Step 2: Subtract 10 from both sides.

4x+10−10=48−10

4x=38

Step 3: Divide both sides by 4. 4x/4 = 38/4 = 19/2

Answer:

4(x + 2.5) = 48.

4x + 4 x 2.5 = 48.

4x + 10 = 48.

4x + 10 -10 = 48 -10

4x = 38

Divide both sides by 4.

X = 9.5.

X = 10 if approximated.

Convert the time. Enter your answer in the box.

4 minutes 53 seconds =
seconds

Answers

Answer:

293 seconds

Step-by-step explanation:

60*4=240

240+53=293

Find the measure of angle x

Answers

Answer:

Angle x would be equal to the sum of its two opposite angle

x= 47 + 110

x= 157°

Which describes the relationship between EG and DF 2 Select all that apply.
ty
F
E
21
ס
o
2
4
A
perpendicular
B bisect each other
C. parallel
D. congruent

Answers

Answer:

A  perpendicular

B bisect each other  

D. congruent

Step-by-step explanation:

Given

Attached quadrilateral

Required

Relationship between EG and DF

First, we have that: DEFG is a square

EG and DF are diagonals

Using the property of diagonals of a square, we have:

EG and DF to be perpendicular

EG and DF to be congruent

EG and DF to be bisect each other

The table represents a proportional relationship. Complete the table and write an equation that describes the relationship

Answers

Answer:

Which table?

There's non

Can you post the table.

Using the picture above Find the measure of arc EF

Answers

Given:

Measure of arc CG is 125 degrees.

The measure of angle CDG is 85 degrees.

To find:

The measure of arc EF.

Solution:

Intersecting chords theorem: If two chords intersect each other inside the circle, then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using the intersecting chords theorem, we get

[tex]m\angle CDG=\dfrac{1}{2}(m(arcCG)+m(arcEF))[/tex]

Let x degrees be the measure of arc EF.

Substituting the given values, we get

[tex]85^\circ=\dfrac{1}{2}(125^\circ+x)[/tex]

[tex]2\times 85^\circ=125^\circ+x[/tex]

[tex]170^\circ -125^\circ=x[/tex]

[tex]45^\circ=x[/tex]

Therefore, the measure of arc EF is [tex]45^\circ[/tex].

7x+8y= 8

Slope

Y intercept

Answers

Answer:

Slope = -7/8

Y-intercept = (0, 1)

Step-by-step explanation:

Answer:

[tex]slope = - \frac{7}{8} [/tex]

y- intercept= 1

Step-by-step explanation:

Rearrange the equation such that it is in the form of y=mx+c. This form is known as the slope-intercept form, and m is the gradient while c is the y-intercept.

7x +8y= 8

8y= -7x +8

Divide by 8 on both sides:

[tex]y = - \frac{7}{8} x + 1[/tex]

Thus, the slope is [tex] - \frac{7}{8} [/tex] and the y-intercept is 1.

Another way to find the y-intercept is to substitute x= 0 into the equation since the y-intercept occurs at x= 0.

7x +8y= 8

When x= 0,

7(0) +8y= 8

8y= 8

y= 8 ÷8

y= 1

Thus, the y-intercept occurs at y= 1 or the coordinate (0, 1).

Note: slope and gradient have the same meaning and can be used interchangeably

A website offers a coupon such that each customer has a 15\%15%15, percent chance of getting the coupon each day they visit the site. Aya visits the website for 666 consecutive days.
What is the probability that Aya will be offered a coupon on at least one of the days she visits the website?
Round your answer to the nearest hundredth.

Answers

Answer:

0.62 im 99% sure

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

What is the value of x in the circle to the right?

Answers

9514 1404 393

Answer:

  10 1/16 cm

Step-by-step explanation:

The Pythagorean theorem can be used.

  (8 +x)² = x² +15²

  64 +16x +x² = x² +225

  16x = 161

  x = 161/16 = 10 1/16 = 10.0625 . . . cm

Six chicken nuggets have 204 calories. How many calories are in 9 chicken nuggets

Answers

Answer:

306 calories

Step-by-step explanation:

By looking at the problem, we can conclude the number of chicken nuggets and the calories are directly related, when the amount of chicken nuggets go up, the calories also go up, proportionally. Because of this, we can set up an equation:

6 / 204 = 9 / x

Where x is the amount of calories in 9 chicken nuggets.

Now, we can simplify by cross multiplying:

6x = 1836

x = 306 calories

Answer:

306 calories

Step-by-step explanation:

If 2/3x -1 = 4, then x=

Answers

Answer:

15/2

Step-by-step explanation:

2/3x-1=4

2/3x=4+1

2/3x=5

x=5/(2/3)

x=(5/1)(3/2)

x=15/2

A regular hexagon has a perimeter of 127 m. Find its area to the nearest tenth.

Answers

Answer:

1164.01

Step-by-step explanation:

First you realize there is 6 sides on a hexagon. Then, you divide the 127 by 6. Then you split the hexagons into 6 parts. This leads you to a triangle. Then if you divide the degrees so 360 total degrees/6 parts = 60. If you split that triangle in half, the angle becomes 30 degrees. Then you will realize the 30 degree is pointed at the 127/12. Because you know the x, (x)(Square root 3), 2x theorem (the 30, 60, 90 triangle), you get the height of the triangle which is about 18.33 . Then you do the area of Triangle = 1/2 * base * height. Therefore you should get 194.00 Because there is 6 parts to a hexagon, you then need to multiply by 6. Your final answer should be 1164.01. This should be correct, please correct me if I’m wrong, thanks.

can you please explain how i can work through these problems?

Answers

Did you add a photo? I cant see one

I am a 3-digit number divisible by 7, but not 2. The sum of my digits is 4. Hint it is not 121

Answers

Answer:

301

Step-by-step explanation:

3 + 0 + 1 = 4

301 / 7 = 43

301 / 2 = 105.5

Answer:

301

Step-by-step explanation:

301 divided by 7 = 43

301 is not divisible by 2

3 + 1 + 0 = 4

Hope this helps :)

VERY URGENT PLEASE HELP!!!!

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $59,904. The variable costs will be $9.25 per book. The publisher will sell the finished product to bookstores at a price of $22.25 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

4608

Step-by-step explanation:

In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=26°, and QO = 4.9 feet. Find the length of PQ to the nearest tenth of a foot.


The length of PQ is ____ ft.

Answers

Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

[tex]m\angle O+m\angle P+m\angle Q=180^\circ[/tex]        [Angle sum property]

[tex]26^\circ+m\angle P+90^\circ=180^\circ[/tex]

[tex]m\angle P+116^\circ=180^\circ[/tex]

[tex]m\angle P=180^\circ -116^\circ[/tex]

[tex]m\angle P=64^\circ[/tex]

According to Law of Sines, we get

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using the Law of Sines, we get

[tex]\dfrac{p}{\sin P}=\dfrac{o}{\sin O}[/tex]

[tex]\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}[/tex]

Substituting the given values, we get

[tex]\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}[/tex]

[tex]\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}[/tex]

[tex]\dfrac{4.9}{0.89879}\times 0.43837=PQ[/tex]

[tex]2.38989=PQ[/tex]

Approximate the value to the nearest tenth of a foot.

[tex]PQ\approx 2.4[/tex]

Therefore, the length of PQ is 2.4 ft.

Which angle measure is equivalent to the angle 17π/4
A. 45 degrees
B. 135 degrees
C. 230 degrees
D. 315 degrees

Answers

Answer:

A is correct

Step-by-step explanation:

17*180=3060

3060/4= 765

765-360=405-360=45

What is the measure of BPC?

Answers

Answer:

[tex]\angle BPC=100^{\circ}[/tex]

Step-by-step explanation:

Assuming P is the center of the circle:

The angle BPC encompasses arc BC. Notice angle CEB also encompasses this arc and the measure of angle CEB is given as [tex]50^{\circ}[/tex]. The measure of an angle with a point on the circle that encompasses an arc is equal to half of the measure of an angle with a point on the center of circle. Therefore, the measure of arc BPC is equal to [tex]2\cdot50^{\circ}=\boxed{100^{\circ}}[/tex]

Chandra needs to make 3 gallons of punch. How many cups of frozen strawberries are needed? Use the drown-down menus to complete the answer.

Answers

The number of cups of frozen strawberries that are needed to make 3 gallons of punch is equal to 48 cups.

How to calculate the cups of frozen strawberries needed?

In this exercise, you're required to determine the number of cups of frozen strawberries that are needed to make 3 gallons of punch. Thus, we would apply direct proportion.

Note: There are 16 cups of frozen strawberries in a gallon.

By direct proportion:

16 cups = 1 gallon

X cups = 3 gallons

Cross-multiplying, we have:

X = 16 × 3

X = 48 cups of frozen strawberries.

Read more on direct proportion here: brainly.com/question/1266676

#SPJ1

The owner of a home cleaning company provides her customers with?
A) Promotion
B) Services
C) Brand Name
D) Places

Answers

Answer:

Step-by-step explanation:

services

What is 3x73 I need some help.

Answers

Answer:

219

Step-by-step explanation:

The answer to your problem is 219

Mario builds a triangular table- help!!

Answers

Answer:

Step-by-step explanation:

question 1a) hey, so it would look like this for example:

question 1b) no, because they don't follow the rules of a 30-60-90 triangle (like the one shown below)

tell me if u have any questions

Write a equation that will represent the information.

Answers

Answer:

consider r to be x. and t to be y

[tex]consider : (0, 5) \: and \: (1, 3) \\ gradient = \frac{(3 - 5)}{(1 - 0)} \\ = - 2 \\ y = mx + c \\ consinder : (1, 3) \\ 3 = ( - 2 \times 1) + c \\ c = 5 \\ therefore : equation \: is \\ = > y + 2x - 5 = 0[/tex]

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8. If they have three children, what is the probability that exactly two of their three children will have that trait? Round your answer to the nearest thousandth

Answers

Answer:

0.384 = 38.4% probability that exactly two of their three children will have that trait.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have the trait, or they do not. The probability of a child having the trait is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 0.8.

This means that [tex]p = 0.8[/tex]

Three children:

This means that [tex]n = 3[/tex]

What is the probability that exactly two of their three children will have that trait?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{3,2}.(0.8)^{2}.(0.2)^{1} = 0.384[/tex]

0.384 = 38.4% probability that exactly two of their three children will have that trait.

An office upgrades its internet speed from 10^4 bits per second to 10^8 bits per second. How many times greater is the new internet speed?

Answers

10000 times greater
10^4 is 10000
And 10^8 is 100000000

Please someone please helps me with this question pls

Answers

I think it is y = -4x + 3
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