Write the equation of the circle containing the point (8, 1) and a center at (4, –9).

Answers

Answer 1

9514 1404 393

Answer:

  (x -4)² +(y +9)² = 116

Step-by-step explanation:

The standard form equation for a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r

The value of the r² term can be found by using the point in the circle expression.

  (x -4)² +(y +9)² = (8 -4)² +(1 +9)² = 16 +100

  (x -4)² +(y +9)² = 116 . . . . . equation of the circle

Write The Equation Of The Circle Containing The Point (8, 1) And A Center At (4, 9).

Related Questions

I already know the answer I just need someone to explain step by step how to solve it. I need to know the process ​

Answers

Step-by-step explanation:

First Multiply two of the numbers, for example, 15 x 6 and then multiply that by the last number, 90 x 13 and thats your answer. Hope it helps!

What is the solution to A=7x+40

Answers

9514 1404 393

Answer:

  x = (A -40)/7

Step-by-step explanation:

Maybe you want to solve for x.

  A = 7x +40 . . . . . given

  A -40 = 7x . . . . . subtract 40

  (A -40)/7 = x . . . divide by 7

The value of x will be ...

  x = (A -40)/7

A sewing class has 185 yards of fabric to make quilts. Each quilt requires 8 yards of fabric. How much fabric will remain after all the quilts are made?

Answers

If each quilt requires 8 yards of fabric and there’s 185 yards you can make 23 quilts and have 1 yard remaining.

23x8= 184
185-184=1

PLEASE I NEED HELP ASAP!!

Answers

Answer:

Option C

Step-by-step explanation:

System of equations have been given as,

y - 4x = 16

y = 4x + 16 ------(1)

By comparing with slope-intercept form of the linear equation,

y = mx + b

Here, m = slope of the line

b = y-intercept

Therefore, m₁ = 4

2y = 8x + 16

y = 4x + 8 -------(2)

Slope of the line m₂ = 4

m₁ = m₂

Therefore, both the lines are parallel and both will not intersect each other.

Hence, there will be no solution of the system of equations.

Option C will be the correct option.

If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,

1. How many x-tiles would you add to the length of the x-square tile?

2. How many unit tiles would you need to complete the square?

Answers

I dont understand the question


4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?

Answers

Answer:

I believe about 30.8%

How to graph 5a-6b=18

Answers

Answer:

[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]

Step-by-step explanation:

Let's solve for a .

[tex]5a+6b=18[/tex]

Step 1: Add -6b to both sides.

[tex]5a+6b+−6b=18+−6b[/tex]

[tex]5a=−6b+18[/tex]

Step 2: Divide both sides by 5.

[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]

Let's solve for b.

[tex]5a+6b=18[/tex]

Step 1: Add -5a to both sides.

[tex]5a+6b+−5a=18+−5a[/tex]

[tex]6b=−5a+18[/tex]

Step 2: Divide both sides by 6.

[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....


1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP

Answers

Answer:

2/3

(-4, 2) and (-16, -6)

slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667

I hope you got it right :)

In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP

Answers

Answer:

59,280

Step-by-step explanation:

the answer is base in my previous learning.. hope it helps..

plwaseeee helppp!! plelalslsllslslz

Answers

Answer:

45 degrees

opposite angles are the same so

30+30=60

105+105=210

210+60=270

360-270=90

but since we have 2 angles we divide it by 2

so angle 1 is 45 degrees

hope it helps :)

1) Which division expression is the given figure below modeling?
10 points
A) 2/3=4
B) 4 = 2/3
C) 4x2/3
D) 2/3 x 4
Figure to use with Problem #1​

Answers

4/8=32 in think that’s the answer

I need help! :) +no links please and thank you!

Answers

Answer:

Step-by-step explanation:

(14×2)+(14×4)

7×(3+5)

c, e and g

Give the coordinates of point D.


A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)

Answers

C. (-4,-2)

explanation:

If something cost $60 and it has a markdown of 40% what is the sale price

Answers

Answer:

Your total is now $36

Step-by-step explanation:

Multiply 60 times 40%

and it will show that you saved $24

subtract $60 - $24

there's your answer.

What is the real number of ∞?

Answers

Answer:

Infinity is not a real number, its an idea.

Step-by-step explanation:

An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.

Choose which method to use: Law of Sines or Use Law of Cosines.

Answers

Answer:

we have

b=3mm

c=5mm

a=?

angle =62°

By using cosine rule.

a²=b²+c²-2bc cos angle

a²=3²+5²-2×3×5 cos 62°

a²=19.92

a=√19.92

a=4.5

I had choose cosine rule.

About 0.34 of the length of a cat is its tail. Write this decimal as a percent.

Answers

$34 \%$ I hope this is correct

Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)

Answers

Well, since you didn’t upload the picture we can’t really show you the points, but all you do, is for the first one you go 5 up on the graph, and 0 to the side. and then just keep going!

can anyone help with this problem?

Answers

Answer:

The numerator factors to

[tex](x + 2)(x - 1)[/tex]

The denomenator factors to

[tex](x + 4)(x - 1)[/tex]

Gary has 4 pencils 12 markers and 24 crayons, what is the ratio of pencils?

Answers

Answer:

1:10 [simplified from 4:40)

Step-by-step explanation:

4 pencils+ 12 marker+ 24 crayons=40

4 pencils: 40 items

1 pencil : 10 items

i dunno if this was right but there you gooo lol</3

Help and explain please.

Answers

Answer:

a2 + b2 = c24 + b2 = 49b = [tex] \sqrt{45} [/tex]

I believe the answer would be 6.70820393 or ≈ 6.7 depending on how many decimal points you can put in.

So a^2+b^2 = c^2

In this case you are trying to find b

2^2+b^2 = 7^2
4 + b^2 = 49
B^2 = 45
b = the square root of 45

That is 6.70820393 or ≈ 6.7

Then see if it makes sense

2^2 + 6.7^2 = c^2

2(2) = 4
6.7(6.7) ≈ 45 (44.89)
———————-
49

And the square root of 49 is 7

Please correct me if I am wrong and have a good day

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

1. semicircle=14.1372mm

parallelogram=40 mm

54.1372 mm^2

2. 180 ft

hope this helps

have a good day :)

Step-by-step explanation:

greatest common factor of 27q^2 - 9

Answers

Answer:

9(3q^2−1)

Step-by-step explanation:

The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer

Answers

Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.

What is sampling?

Sampling is collecting some items in a lot randomly to predict opinions about the lot.

For example; the Selection of goods, selection of people

Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.

As per the given,

To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.

The random selection gives the exact results.

Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".

To learn more about sampling,

https://brainly.com/question/13287171

#SPJ1

Plz help me well mark brainliest if correct.....?

Answers

Answer:

B. 8 x 12

Step-by-step explanation:

First of all, it has an area of 96

So lets find the multiplication pair that equals 96.

10 x 10 = 100        NO

6 x 16 = 96           YES

8 x 12 = 96           YES

Now we have two equations: 8 x 12 and 6 x 16

Perimeter of 40 means:

2(a+b) = 40

Lets input the two equations:

2(8+12) = 2 x 20 = 40

2(6+16) = 2 x 22 = 44

So the dimensions that works is 8 x 12

If my answer is incorrect, pls correct me!

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

-Chetan K

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.

Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.

Answers

Answer:

Step-by-step explanation:

Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?

Answers

Answer:

four out of 100 (4%)

Step-by-step explanation:

The sales manager gathered information on the numbers of sales calls made and the number of copiers sold for a random sample of sales representative. Is there a positive correlation between calls made and copiers? Test at the 0.05 level of significance. Determine the 90% prediction interval for 60 number of calls made. *
Calls,X Sold. Y
20 40
20 50
40 60
50 90
40 80
20 40
40 60
30 60

Answers

Answer:

b

Step-by-step explanation:

Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?

Answers

Answer:

12, because both dogs and birds only have 12 heads

12 Jared has 12 birds

What is the sum? Complete the equation.
-5 + (20)

Answers

Answer: The answer is 15

HOPE THIS HELPS AND HAVE A VERY GOOD DAY

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