What is the equation of the circle with a radius of 5 and center of (2, 3)?
A (x + 2)2 + (y + 3) = 25
B (x + 2)2 + (y + 3)2 = 5
OA
OB.

Answers

Answer 1

Answer:

None of the above.

Step-by-step explanation:

The equation should be (x - 2)^2 + (y - 3)^2 = 25

The standard equation of a circle is:

(x - a)^2 + (y - b)^2 = r^2

where (a,b) are the coordinates of the center and r, the radius.

here the center = (2,3) hence a = 2 , b = 3 and r = 5


Related Questions

A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 5000 seats. The students filled 4500 of the seats in the theatre. What percentage of the seats in the theatre were filled by the 6th graders on the trip?

Answers

Answer:

90%

Step-by-step explanation:

So, in order to get this answer, you must divide the amount of students that filled the theatre, which is 4,500, by the amount of seats at the theatre, which is 5,000. You can eliminate the two zeros at the end of each number, which will leave you with 45/50. 45 divided by 50 equals 0.9. You can then multiply 0.9 by 100, because of the 2 zeros eliminated earlier. This will leave you with 90%.

A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 blueberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).

Answers

This question is incomplete because it was a details in the question was not written correctly.

Complete Question:

A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).

Answer:

An inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2S + 3M ≤ 80

Step-by-step explanation:

From the above question, we are told that:

Let S denote the number of sundaes Laila makes

M the number of milkshakes

a) A sundae requires 2 ice-cream scoops and 4 raspberries

A sundae = 2S and 4S

b) A milkshake requires 3 ice-cream scoops and 5 raspberries.

A milk shake = 3M and 5M

Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries .

Therefore, an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:

2 ice cream scoops + 3 ice cream scoops ≤ 80

2S + 3M ≤ 80

The spinner below is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.

What is the theoretical probability of landing on red? Select all that apply

Group of answer choices

0.42

1/2

5/12

50%

42%

Answers

Answer:

I think the answer is 42%

At a pizza resturant they have a choice of 20 toppings. If a customer choosea two topping pizza find the probability that they ordered a pepperoni and sausage

Answers

Answer: The probability is 1/190 = 0.005

Step-by-step explanation:

The probability of ordering two specific toppings out of 20 is:

For the first selection he can order 2 of them, peperoni or sausage, so the probability for the first selection is 2/20 = 1/10 (the number of correct options divided by the total number of options)

For the second selection we have only one option, because we assume that the other one was selected previously, here we also had a total of 19 toppings because one already was selected, the probability in this selection is 1/19.

The joint probability is equal to the product of those two probabilities:

P = (1/19)*(1/10) = 1/190 = 0.005

Factor completely: x^2-y^2-1.5(x-y)

Answers

Answer:

(x-y)(x+y-1.5)

Step-by-step explanation:

joy and Peter were each walking along a straight road. joy walked 1800 meters in 1/3 hour. Peter walked 1/2 of joys distance in 1/5 hour.

the 1/3, 1/2, and 1/5 are fractions

Answers

Answer:

what is it asking to find then i can help

Step-by-step explanation:

Answer:

B: It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

1) Use the factor theorem to determine if 3x-4 is a factor of f(x)=3x^2+2x-8

2) Find the value of K so that x+6 is a factor of 6x^3+kx^2-7x-6

Answers

Step-by-step explanation:

put f(4/3)= 3(4/3)^(2) +2(4/3)-8 =0

so 3x-4 is a factor

similarly, k=35

SOLVE USING ELIMINATION *20 POINTS*


1. 3x - y = 28

3x - y = 14


a. (8,-4)

b. (-7,7)

c. (7,-7)

d. (-4,8)


2. x+ 4y 13

2x + 3y 6


a. (3,5)

b. (-3,4)

C. (4,5)

d. (4,4)


3. 12r-9y 30
6x + 15y = 54


A. x = 4 and y 2

B. x = 2 and y = 4

C. x = 14 and y 2

D. x = 37/7 and y =26/7







4. x + 3/2 y = -3




6/7x + 7y = -8


A. (27/8, -1/4)

B. (9/2, -5)

C. (-3/11, -10/11)

D. (-63 / 40, -19/20)

Answers

1. No answer ( may be due to incorrect question)

2. x = -3

y = 4

3. x= 4

y = 2

4.x = -63/40

y= -19/20

Step 1

Multiply equation 1 by the coefficient of x in equation 2

Multiply equation 2 by the coefficient of x I'm equation 1

(after completing this step you will derive equation 3 and 4 )

Step 2

Subtract equation 4 from equation 3

Step 3

Divide both sides of the equation by the coefficient of y

Step 4

substitute your value for y in equation 1 or 2

(after this you will derive the values of x)

Note : This method is for the Elimination of x

I hope it helps

Answer: A.  X = 11

Step-by-step explanation:

x - 7 = 4

11 - 7 = 4

$ The polynomial 3x3 + 10x2 - x - 12 has a factor of x + 3. Find the remaining factors,

Answers

Answer:

(3 x + 4) (x - 1) (x + 3)

Step-by-step explanation:

Factor the following:

3 x^3 + 10 x^2 - x - 12

The possible rational roots of 3 x^3 + 10 x^2 - x - 12 are x = ± 1/3, x = ± 2/3, x = ± 4/3, x = ± 1, x = ± 2, x = ± 3, x = ± 4, x = ± 6, x = ± 12. Of these, x = -4/3, x = 1 and x = -3 are roots. This gives 3 x + 4, x - 1 and x + 3 as all factors:

Answer: (3 x + 4) (x - 1) (x + 3)

A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to the height of 7 centimeters. Find the volume of empty space in the cylinder.

Answers

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

The volume of the empty space in the cylinder is equal to the difference between the volume of the cylinder and the volume of water in the cylinder.

The volume of the cylinder can be calculated using the formula:

V = πr^2h

where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

V = π(3 cm)^2(12 cm)

V ≈ 339.3 cubic centimeters

The volume of water in the cylinder can be calculated by multiplying the cross-sectional area of the cylinder by the height of the water:

V_water = πr^2h_water

where V_water is the volume of water and h_water is the height of the water.

Substituting the given values, we get:

V_water = π(3 cm)^2(7 cm)

V_water ≈ 197.9 cubic centimeters

Therefore, the volume of empty space in the cylinder is:

V_empty = V - V_water

V_empty ≈ 339.3 - 197.9

V_empty ≈ 141.4 cubic centimeters

So, the volume of empty space in the cylinder is approximately 141.4 cubic centimeters.

| 2p -1 | =45, what are the values of p?

Answers

Answer:

p = 23       and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45    and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1    and 2p-1+1 = -45+1

2p = 46                        2p = -44

Divide by 2

2p/2 = 46/2    and   2p/2  = -44/2

p = 23       and p = -22

In the diagram, which pair of angles are alternate interior angles?
5/6
1 2
43
8/ 7
22 and 25
21 and 27
25 and 23
27 and 24

I needs halp​

Answers

the 5,6,7 answer choice

What proportion of... help me please

Answers

Answer:

Below in bold.

Step-by-step explanation:

I won't do all these but you should get the idea of how to do them from the following. Be careful with the units if they are given . You must convert both values to the same unit before working out the percentages.

a. What proportion of 15 is 5:

As a fraction it is 5/15 = 1/3.

Now convert to a percentage by multiplying by 100:

1/3 * 100 = 33.33%

b.  20 and 10

= 10/20 = 1/2

1/2 * 100 = 50%.

e.  £30  and £12

= 12/30

= 2/5

= 2/5 * 100 = 40%.

h. 6.4 is 0.4

= 0.4 / 6.4

= 4/64

= 1/16

= 1/16 * 100 = 6.25%

i. £144 is 12p

Here we convert the 2 values to pence:

£144 = 144 * 100 = 14,400p

The fraction is 12/14,400

= 1/1200

= 1/1200  * 100 = 0.083%

j. 1.2 m is 30 cm

Convert 1.2 m to cm

= 1.2 * 100 = 120

The fraction is 30/120 = 1/4

= 1/4  100 = 25%.

find the smallest 4 digit number that is a perfect square and perfect cube

Answers

Answer:

1024 is the smallest four digit number which is a perfect square.

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

Answer:

1024

Step-by-step explanation:

So the least number to be added to 1000 is 24. Therefore, 1000+24 = 1024 is the smallest four digit number which is a perfect square.

PLZ MARK ME BRAINLIEST

What are the roots of y = x2 – 3x – 10?

Answers

Answer: y =x2 (squared)−3x−10

Step-by-step explanation:

Answer:

What are the roots of y [tex]y=x^{2}-3x-10[/tex]?

[tex]x=5[/tex] [tex]and[/tex] [tex]=-2[/tex] .

Step-by-step explanation:

The given equation in two variables is [tex]y=x^{2}-3x 10 y = x 2 - 3 x - 10[/tex] .

We are asked to find the roots. We will now apply the zero factor property

by equating each factor to zero. Thus, the roots of the equation are

[tex]x=5[/tex] and [tex]x=-2[/tex] .

what is m/2=12? plz helps

Answers

Answer:

Its 6

Step-by-step explanation:

6 times 2 equals 12

so m=6

Answer:

m=24

Step-by-step explanation:

12x2=24

24/2=12

4X minus 5X +9 equals 5X -9

Answers

First you collect like terms which would give you -x

Move variable 5x to the left and change its sign

Collect like terms (-x-5x) =-6x

Divide both sides by -6

What is the square root of 25

Answers

Answer:

the square root of the number 25 is 5

Step-by-step explanation:

Answer is 5
Proof: 5 x 5= 25

Plz mark as brainleast plzzz

can somebody help with number 4 asap please

Answers

Answer:

x ≈ 41

Step-by-step explanation:

All the angles in a quadrilateral add together to equal 360°

So set up the equation:

a + b + c + d = 360°

Now fill in the values we know:

x + _ + 4x + 2x - 10 + 85 = 360

7x + 75 = 360

Now subtract both sides by 75:

7x + 75 - 75 = 360 - 75

7x = 285

Divide both sides by 7:

7x / 7 = 285 / 7

x = 40.714

Round:

x = 41

Now to check our answer, substitute 41 for x in the equation:

(41) + _ + 4(41) + 2(41) - 10 + 85

(41) + 164 + 82 - 10 + 85 = 362

The answer is close to 360, so we know it is correct

Answer:

x=40 and

+_ is 5

Step-by-step explanation:

Sum of the angles of any quadrilateral is 360.

4x +2x-10 +85 +x+_ = 360 combine like terms

7x + 75 = 360 subtract 75 on each side

7x = 360-75

7x = 285 divide by 7

x = 40.71

Now plug in back into equation x = 40:

4*40+ 2*40 -10 + 85 +40 + _  = 360

missing number is +5

7x^2-2x+1-(9x^2+2x-1)

Answers

Answer:

[tex]-2x^2-4x+2[/tex]

Step-by-step explanation:

[tex](7x^2-2x+1)-(9x^2+2x-1)=\\(7x^2-9x^2)+(-2x-2x)+(1+1)=\\-2x^2-4x+2[/tex]

Hope this helps!

(7x2-2x-1)+(9x2-4x+5)-(4x2+6x-7)

Final result :

12x2 - 12x + 11
Step by step solution :

Step 1 :

Equation at the end of step 1 :

((((7•(x2))-2x)-1)+(((9•(x2))-4x)+5))-((22x2+6x)-7)
Step 2 :

Equation at the end of step 2 :

((((7•(x2))-2x)-1)+((32x2-4x)+5))-(4x2+6x-7)
Step 3 :

Equation at the end of step 3 :

(((7x2-2x)-1)+(9x2-4x+5))-(4x2+6x-7)
Step 4 :

Trying to factor by splitting the middle term

4.1 Factoring 12x2-12x+11

PLEASE ANSWER THIS QUESTION,ILL MARK YOU AS THE BRAINLIEST IF UR ANSWER IS CORRECT.

Answers

Answer:

I WILL SAY THE 2 ONE

Step-by-step explanation:

What is the solution to this equation?
-8x + 4 = 36
A. x= -5
B. x= 4
C. x = 5
D. x= -4.

Answers

Answer:

D. x= -4

Step-by-step explanation:

-8x × -4 = 32 + 4 = 36

you can subtract 4 from 36, which leaves you with -8x = 32.  you then divide 32 by -8 to (1) cancel out -8 which will leave you with x, and (2) give you your answer.  32 / -8 = -4.

x is -4

quanto fa 2 +2??? grazie

Answers

Answer:

4

Step-by-step explanation:

2+2=4

PLEASE HELP!!

g(r)=25−3r
G(4)=

Answers

Answer:

13

Step-by-step explanation:

g(r)=25−3r

Let r=4

G(4)= 25 - 3(4)

      = 25 -12

      = 13

Answer:

13

Step-by-step explanation:

given g (x) = -x -2, find g (-5)​

Answers

Answer:

g(-5)=3

Step-by-step explanation:

g(-5)=-(-5)-2=5-2=3

Substitute x with -5.

g(-5) = -(-5) - 2

g(-5) = 5 - 2

g(-5) = 3

Best of Luck!

Factor as the product of two binomials.
81 +18x +x^2​

Answers

Answer:

(x + 9)²

Step-by-step explanation:

x² + 18x + 81

(x + 9)(x + 9)

(x + 9)²

Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.5-in and a standard deviation of 1-in. Due to financial constraints, the helmets will be designed to fit all men except those with head breadths that are in the smallest 1.9% or largest 1.9%. a) What is the minimum head breadth that will fit the clientele? b) What is the maximum head breadth that will fit the clientele?

Answers

Answer:

a) min = 4.4251

b) max = 8.5743

Step-by-step explanation:

Given:

Mean, u = 6.5

Standard deviation = 1

To get our values, we are to use the inverse of the standard normal table.

a) The minimum head breadth that will fit.

P(Z < z) = 1.9%

P(Z < z) = 0.019

P(Z < -2.0749) = 0.019

z = -2.0749

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = -2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (-2.0749 * 1) + 6.5

x = 4.4251

The minimum head breadth that will fit the clientele is 4.4251

b) The maximum head breadth that will fit.

P(Z > z) = 1.9%

1 - P(Z < z) = 0.019

P(Z < z) = 1 - 0.019 = 0.981

P(Z < 2.0749) = 0.981

From the z-score formula, we have:

[tex] \frac{x - \mu}{\sigma} = Z_0_._0_1_9 [/tex]

Let x be the breath of heads.

Making x the subject of the formula, we have:

[tex] x = z * \sigma + \mu [/tex]

We already have:

z = 2.0749

u = 6.5

s.d = 1

Substituting figures, we have:

x = (2.0749 * 1) + 6.5

x = 4.4251

x = 8.5743

The maximum head breadth that will fit the clientele is 8.5743

which graph represents the linear function y=1/4x-3

Answers

Answer:

The graph with a y-intersect of (0, -3) and x-intercept of (12, 0)

Step-by-step explanation:

So the graph goes 1 unit up every 4 units to the right

The graph which represents the linear function y = 1/4x – 3 is A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2).

What is Linear Function?

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given linear function is,

y = 1/4x – 3

Substitute x = 0.

y = 0 - 3 = -3

So the graph passes through (0, -3).

Let x = 4.

y = (1/4 × 4) - 3 = -2

So the graph passes through (4, -2).

Let x  = -4,

y = (1/4 × -4) - 3 = -4

So the graph passes through (-4, -4).

Hence the graph passes through (-4, -4), (0, -3), and (4, -2).

Learn more about Linear Functions here :

https://brainly.com/question/20106471

#SPJ3

The complete question is given as follows.

Which graph represents the linear function y = 1/4x – 3?

A. A line on a graph passes through the (-4, -4), (0, -3), and (4, -2).

B. A line on a graph passes through the (-4, -2), (0, -3), (4, -4).

C. A line on a graph passes through the points (0, -3), (1, 1), (2, 5).

D. A line on a graph passes through the points (-4, 2), (0, 3), (4, 4).

If r = 10 and s = 31, find R. Round to the nearest tenth

Answers

Answer: c 17.9°

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

I took the test

Fill in the blank

The equation *blank* describes the relationship
( simplify your answer )

Answers

Answer:

y=2/3x

Step-by-step explanation:

Your answer would be Y=2/3x
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