Mathematics College

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!

Answers

Answer 1
The first option is correct. See an explanation below.
Which Equation Represents A Circle With A Center At (-4,9) And A Diameter Of 10 Units?(x - 9)2 + (+ 4)2
Answer 2

The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of circle be represented as A

Now , the value of A is

Let the center of the circle be P ( -4 , 9 )

Let the diameter of the circle be d = 10 units

So , the radius of the circle r = d/2 = 5 units

And , standard form of a circle is

( x - h )² + ( y - k )² = r²,

So , the equation of circle is

( x + 4 )² + ( y - 9 )² = 25

Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25

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Related Questions

every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy

Answers

Answer:

The 40th visitor will recieve both

Step-by-step explanation:

5×8= 40

8×5= 40

Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£

Richard:
£

Nick:
£

Answers

Answer:

dan 14 Richard 42 nick 14

Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?

Answers

Well it would be 7 days. 36 x 3 is 108 720 divided by that is 6 but a remainder so you add one to 6 and it’s 7

Answer:

She has to work for 60hours in order to earn $720.

Step-by-step explanation:

Amount of money earned in 1hour=36÷3

                                                        =12$

Total time required=720÷12

                               =60hours

A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

The 80% confidence interval is  [tex]0.0328 <  \mu <  0.0392[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 23

  The sample mean is  [tex]\= x = 0.036 \ cc/m^3[/tex]

   The standard deviation is  [tex]\sigma = 0.012[/tex]

From the question we are told the confidence level is  80% , hence the level of significance is    

      [tex]\alpha = (100 - 80 ) \%[/tex]

=>   [tex]\alpha = 0.20[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.282[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = 1.282  *  \frac{0.012 }{\sqrt{23} }[/tex]

=>    [tex]E = 0.00321 [/tex]

Generally 80% confidence interval is mathematically represented as  

      [tex]0.036  -0.00321 <  \mu <  0.036  + 0.00321[/tex]

=>  [tex]0.0328 <  \mu <  0.0392[/tex]

   

NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of

Answers

Answer:

17

8/17

Step-by-step explanation:

x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]

sin∠D = [tex]\frac{8}{17}[/tex]

what is 7/9 of 1 1/14​

Answers

Answer:

1.5555556

1 5/9

14/9

Step-by-step explanation:

what the answer?please tell me
12 points

Answers

Step-by-step explanation:

[7 + (-2)] * (-3)

= 7(-3) + (-2)(-3)

= -21 + 6

= -15. (C)

Answer:

C. -15

Step-by-step explanation:

Hope this helped have an amazing day!

4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)

Answers

The 3 option
(3,9), (-7,1), (6,12), (-3, -9)

The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75

Answers

Answer:

5.15 hope this help!!!

Step-by-step explanation:

give this brainlieast so other people can know its not 20.60

Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?

Answers

Answer:

the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line

Answer:

THE LINE WOULD MOVE UP 5 UNITS

Step-by-step explanation:

5(g + 17) = (Simplify your answer.)​

Answers

Answer:

5g+85 is the answer

Step-by-step explanation:

i hoped it helped

Can somebody help me pls

Answers

the answer can vary between x=−1 or x=2 or x=−3 or x=3

explanation:

x4−x3−11x2+9x+18=0

Step 1: Factor left side of equation.

(x+1)(x−2)(x+3)(x−3)=0

Step 2: Set factors equal to 0.

x+1=0 or x−2=0 or x+3=0 or x−3=0

x=−1 or x=2 or x=−3 or x=3

Select the correct answer.
Which graph represents this equation?
y- 4=-3(x+5)

Answers

Step-by-step explanation:

The given expression is :

y- 4=-3(x+5)

⇒ y-4 = -3x-15

⇒y+3x = -15 + 4

⇒ y+3x= -11

We need to draw the graph for this equation. The attached figure shows the graph for this equation.

Please please help fast! I don't have time!!! Please

Answers

Answer:

Concept: Statistical Analysis

2 and 4 would be correct and indicate a strong correlation between the subject and the result

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Answers

Ok...

what exactly do you need help with?

Answer:

help with what lol

Step-by-step explanation:

What is 60 minutes 20% of

Answers

Answer:

60 minutes is 20% of 300%

Step-by-step explanation:

60 minutes is 20% of 300

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?

Answers

Answer:

780

Step-by-step explanation:

We want to use partial quotients in the division problem 858 ÷ 26.

In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.

In this case, the dividend is 858 and the divisor is 26.

Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.

Therefore, the best choice for first number to subtract is 780

Answer: 780

Step-by-step explanation:

The best choice for the division problem will be 780.

Which of the following are geometric sequences?
Check all that apply.

Answers

Answer:

c , I think :))))))))))))

Answer: C

Step by Step Explanation:

Can not give, sorry

Evaluate:5^-1 – 6^-1
with explanation please!!

Answers

Answer:

1/30

Step-by-step explanation:

5^-1 = 1/5

6^-1 = 1/6

1/5 - 1/6 = 1/30

lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets

Answers

Lucy has $16. Trey has $21. Reuben has $63

What's the x that will make the fraction greater than or equal to 75%

Please show the thought process to get to x=16

1/5 = 20%

x-4/x >= 75% (x => 16. 12/16 = 75%)

Thanks,

Merry Christmas

Answers

9514 1404 393

Answer:

  x ≥ 16  or  x < 0

Step-by-step explanation:

You want ...

  (x -4)/x ≥ 3/4

  4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)

  4x -16 ≥ 3x

  x ≥ 16 . . . . . . . . . . add 16-3x

__

For x < 0, multiplying by 4x gives ...

 4(x -4) ≤ 3x

  4x -16 ≤ 3x

  x ≤ 16 . . . . . and x < 0

__

There are two sets of solutions:

  x < 0  or  x ≥ 16

A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?

Answers

Answer:

18

Step-by-step explanation:

Please give brainliest!

Answer:

18

Step-by-step explanation:

Find the distance across the bridge

Answers

Answer:

32.5 ft

Step-by-step explanation:

Answer:160

Step-by-step explanation:

I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge

5.401 \times 10^{-1} = {?}5.401×10 −1 =?

Answers

Answer:

2.005 x 10^2

Step-by-step explanation:

Arthemeatic sequence

Answers

Answer:

14

Step-by-step explanation:

its going down by 11

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Answers

Answer:

False

Step-by-step explanation:

which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.

Answers

Answer:

Option (A) and Option (B)

Step-by-step explanation:

Trinomial is a polynomial having three terms.

Option A

[tex]\frac{5}{7}y^3+5y^2+y[/tex]

Number of terms = 3

So it's a trinomial.

Option (B)

x⁴ + x² + 1

Number of terms = 3

It's a trinomial.

Option C

6x² + 0.5y²

Number of terms = 2

It's a binomial.

Option D

x² + 3

Number of terms = 2

It's a binomial.

Option E

x¹¹

Number of terms = 1

Monomial

Option F

8x

Monomial.

Therefore, Option (A) and Option (B) are the correct options.

HELP PLS
analyze the diagram above and complete the instructions that follow.
​

Answers

Answer:

D

Step-by-step explanation:

answer is on the photo

Please helpppp me. Will give Brainlyist

Answers

SOH CAH TOA.
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent

A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.

Answers

60 calories

hope this helps :)

Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

What is the unitary method?

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate

Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.

Thus total calories from given diet is = 4×4+4×3+9×3

                                                             =16+12+27

                                                            =56

Hence, Total calories in  4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56

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