Mathematics College

Write the standard equation of the circle with center (– 10, –3) that passes through the point (-3,3).

Answers

Answer 1

Answer:

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Step-by-step explanation:

Equation of a circle:

The standard equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (– 10, –3)

This means that [tex]x_0 = -10, y_0 = -3[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

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

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

Passes through the point (-3,3).

This means that we use [tex]x = -3, y = 3[/tex] to find the radius squared. So

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

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

[tex]r^2 = 49 + 36[/tex]

[tex]r^2 = 85[/tex]

The equation of the circle is:

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

[tex](x+10)^2 + (y+3)^2 = 85[/tex]

Related Questions

Choose the solution to this inequality.
72≥b+95
b≥25
b≤1710
b≤−23
b<227

Answers

Step-by-step explanation:

I hope this helped:) answer # c.

help please
Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the nearest tenth.

Answers

Answer:196.65

Step-by-step explanation:

Can someone please help me with this and thank you:)

Answers

Answer:

B

Step-by-step explanation:

A is not correct because 1 does not equal 1/4 +1/4.

B is correct because 1/4*1 does equal 1/5. (and all the other ones)

C is not correct because 1 does not equal 1/4*1/4

D is not correct because 1/4 does not equal 1-1/4

Answer:

B

Step-by-step explanation:

what is the amount of change for this 25 is decreased to 17

Answers

Answer:

20.75 Absolute change

Step-by-step explanation:

Avery has a loyalty card good for a discount at her local pharmacy. The item she wants to buy is priced at $6, before discount and tax. After the discount, and before tax, the price is $5.04. Find the percent discount.

Answers

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

the value of the car when it was purchased was

Answers

32,000 it looks like

Answer:

A) 32,000

Step-by-step explanation:

The value of the car when it was purchased would be at 0 years. So, if you go to 0 years and go up the line, you will get your answer of $32,000.

1. Express the following expression in the form y = a(x - h)? + k
y = - x² + 4x +1​

Answers

Answer:

Step-by-step explanation:

y = -x² + 4x + 1

factor out the leading coefficient

y = -(x² - 4x) + 1

complete the square

y = -(x² - 4x + 2²) + 2² + 1

y = -(x-2)² + 5

WILL GIVE BRAINLIEST
Solve for x. Leave your answer in simplest radical form

Answers

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

find the quotient 3 divided by 1/4​

Answers

Answer:

12

Step-by-step explanation: multiply straight across, yes that's how you do it. you factor the numerator and denominator and cancel the common factors.

Please help this is due TODAY

Calculate the unknown variable value .


Do not answer with a one answer, blank or a ridiculous answer please this is serious.

Answers

Answer:

a= 38°

b=52°

c=40°

Step-by-step explanation:

hope it helped:)))))))))))))))))))

Can someone Identify the coefficient in the expression 5 + 19b?

Answers

Answer:

19

Step-by-step explanation:

whenever a number is behind a variable (letter) its always a co efficient.

what Is the smallest number to be added to 322 to make it divisible by 3?​

Answers

i’m pretty sure that it is 4

8. Kayla's kite string was too long so her dad cut off 10 inches. Now the string is 40 inches
long. How long was it at first?

Answers

It was originally 50 inches long.

Let’s call the original length L
L - 10 = 40
Add 10 to both sides of the equation
L = 50

Question 9
10 pts
The perimeter of a triangle is 30 inches. After a dilation, the perimeter is 6
inches. What is the scale factor of the perimeter?
Write your answer like this: Write the scale factor as a fraction: a/b

Answers

Scale factor is 5/1 I believe

The length of a side of a square is 3x + 2. What is the area of the
square in terms of x?
8YOS
A. 9x2 - 4
exS)(-x)
C. 9x + 4
D. 9X2 + 12x + 4
B. 9x2 + 6x + 4

Answers

Answer:

D. 9x^2 + 12x + 4

Step-by-step explanation:


What did Samuel do wrong??? Samuel said 2.25 + 1.75 + 0.5 = 3.50 what did he do wrong? Choose....what he did wrong

Answers

Answer: 4.50

Step-by-step explanation:

.5 is = to .50 so that means that your going to add 2.25+.50= 2.75 and then add another 1.75 and get 4.50 as your answer:)

It’s 4.50 ! He did not line up the numbers correctly

I need help eeeeeeeeeeeeeeeeee

Answers

Answer:

i havent did this in years BUt i will try the top would be the same as the bottom

Step-by-step explanation:

Answer:

Length × breadth × height

20×22×2= 880m cube

Please help me.

The answers are

A (3, -2
B (1,14)
C (4,3)
D (2,9)

Answers

Answer:

c. (4,3)

Step-by-step explanation:

If you look at all the rest of the coordinates, compared to (4,3). None of them are in the red area. They are either in the blue, or the orange. To be a solution it has to be in both areas, (the red). Hope this helps!

he trans pacific express projects 11,000 mile in telecommunications cable under the pacific ocean connecting the US eastern asia. the cost of the project was about $500 million. write and solve an equation to find the cost per mile to the nearest dollar

Answers

Answer:

you need to make it an actual problem

Answer:

500 million / 11,000 = 45,454.5455

Step-by-step explanation:

What is the outlier for the data set?

A. There is none
B. 5
C. 10
D. 9

Answers

the outlier in the data set is 5

Answer:

it is 5 5 5 5 5 5 5

Step-by-step explanation:

12=24-y


help me pleaseee​

Answers

Answer:

y=12

Step-by-step explanation:

12=24-y

step 1

subtract each side by 24

24-24 cancels out

12-24=-12

now we have

-y=-12

we now have to divide by -1

-1/-1=1

-12/-1=12

so we can conclude that y=12

Answer:

y = 12

Step-by-step explanation:

12=24-y

y = 24 - 12

y = 12

Joe mowed 1 1/2 lawns in 2 1/2 hours. How many lawns can Joe complete in 6 hours?

Answers

Answer:

3 3/5 lawns

Step-by-step explanation:

find out how much OF a lawn he mows within an hour. multiply that by the number of hours.

he mows 0.6 lawns/hr; he mows for 6 hours

1.5/2.5=0.6

0.6 x 6 = 3.6 or 3 3/5

Find the area of this parallelogram.
6 cm
8 cm
15 cm​

Answers

Answer:

90 cm

Step-by-step explanation:

15 x 6 = 90

A pizza slice is cut into 8 equal slices.
a. What fraction of the pizza is each slice?
b.Mandy eats 2 slices. What fraction of the pizza did Mandy eat?
c. Use multiplication to explain how you found the answer to b.

Answers

Answer:

a. 1/8

b. 1/4

c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4

Step-by-step explanation:

What percent of 100 is 25? (this is a percent proportion question) (use:
%/100 = is/of) *

Answers

Answer:

25%

Step-by-step explanation:

to get percent divide 25 by 100.

25/100=.25

Answer:

25/100 is 25%

Step-by-step explanation:

in OPQ the measure of Q is 90 the measure of O is 46 and QO 34 feet what is the length of OP to the nearest tenth of a foot

Answers

Answer: 48.9

Step-by-step explanation:

i just did it on delta math

Valeria bought cupcakes for her sister's birthday party. 15 cupcakes had sprinkles on top. The other 35 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?​

Answers

The answer is 30% (30 percent)

WILL GIVE BRAINLIEST FOR CORRECT ANSWER!

Answers

Answer: 5^7 + 5^6 = 15625 x 6
Explanation:
5^7 = 78125
5^6 = 15625
Add both answer together to get 93750 and divide it by 6
= 15625

How to write 9/10% as a fraction?

Answers

Answer: 90%

Good Luck!

Answer:

90 / 1 your welcome

WILL GIVE BRAINLST
HAVE AN AMAZING DAY :)

Answers

Answer:

D, 12 units, j and L, 25.3 units

Step-by-step explanation:

Hop3 it helps :)

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