What is the radius of a circle whose equation is (x + 5)² + (y - 3)² = 4²?
O 2 units
O 4 units
O 8 units
O 16 units

Answers

Answer 1

Answer:

PLEASE MARK AS BRAINLIST

we know thatthe equation of the circle is of the formwhere(h,k) is the center of the circler is the radius of the circlein this problem we havesothe center is the point the radius is thereforethe answer isThe radius of the circle is equal to  4units

Answer 2

The required radius of a circle whose equation is (x + 5)² + (y - 3)² = 4² is 4. Option B is correct.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

The equation of the circle is given by:

(x + 5)² + (y - 3)² = 4²

Comparing this equation with the standard form of the equation of a circle:

(x - a)² + (y - b)² = r²

We can see that the center of the circle is at the point (-5, 3), and the radius of the circle is 4 units (which is the same as the constant on the right-hand side of the equation).

Therefore, the radius of the circle is 4 units.

So the answer is (B) 4 units.

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Related Questions

One number is 1 less than three times another number. if the product of the two numbers is 102, find the number

Answers

Answer:

25.25

Step-by-step explanation:

3y-1 (y) = 102

4y-1 = 102

4y = 101

y = 25.25

Please help!! Will mark brainlyest.

Answers

Answer:

C. the X coordinates will increase by 2.

Step-by-step explanation:

Here are the examples:

If a X coordinate moves 2 spaces to the left, then it will decrease.If a X coordinate moves 2 spaces to the right, then it will increase.

In this case, a X coordinate will increase by 2.

Correct choice is C.

Please help me! I need to figure it out

Answers

[tex]Q_3-Q_1=Q_i[/tex]Answer:

The answer is 10. Frank has done more than Marquis by10.

Step-by-step explanation:

From the internet, the interquartile is Q_3-Q_1=Q_inter

From Marquis his Q_3 = 40 and Q_1 = 20

[tex]Q_3-Q_1=Q_i[/tex]

40-20=20

From Frank his Q_3 = 40 and Q_1 = 10

[tex]Q_3-Q_1=Q_i[/tex]

40-10=30


Frank's interquartile is 30 and Marquis interquartile is 20.

Differences between the both of them.

30-20=10

Allison and Amir are working on a school project together. Allison will do 3/4 of the research, and Amir will do the rest. Amir can do 1/8 of the research in an hour. How long will it take amir to complete his research

Answers

Answer: 2hours

Step-by-step explanation:

Allison does 3/4 and Amir does 1/4

Amir can do 1/8 in 1hr, how long will it take to complete ¼ work

1/4 ÷ 1/8 =2

Your Grandmas vanilla ice cream recipe uses 3 cups of heavy cream and 1 cup of milk.

Answers

Answer:

nice

Step-by-step explanation:

very cool - crispin

Please help, I need this quickly. It's an easy trigonometric question.

Answers

[tex]\bold{ANSWER:}[/tex]
OPTION D: None of these

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:c x=13

Step-by-step explanation:

straight line =180

180-50=130

7x+3x=10x

130/10=13

So the answer is x=13

how many groups of 7 does it take to make 7 tens

Answers

Answer:


It takes 10 groups of 7 to make 7 tens

Step-by-step explanation:

I’m smart

What is the vertex of g(x) = –3x2 18x 2? (3, –25) (–3, –25) (3, 29) (–3, 29)

Answers

Answer:

f(x) = -(x + 8)(x -14)

= -(x2 - 112 - 6x)

= -x2 + 6x + 112 --- (1)

We know the graph of an equation y = ax2 + bx + c where a ≠ 0 is a parabola. The parabola opens upwards if a > 0 and opens downwards if a < 0. The vertex of the parabola is the point where the axis and parabola intersect. Its x coordinate x = -b/2a and its y coordinate is found out by substituting x = -b/2a in the parabola equation.

The parabola given in the problem statement has a negative coefficient of x2 and hence it is a parabola which opens downwards. Also for the equation

a = -1, b = 6 and c = 112. Therefor the x-coordinate of the vertex is

x = -b/2a

= -(6)/[2(-1)]

= 3

Substituting the value of x = 3 in equation (1) we get,

Now y = -(3)2 + 6(3) + 112

= -9 + 18 + 112 = 121

So the vertex point coordinates are (3, 121) and the y value is 121.

The graph below verifies the vertex point.

vertex of the graph

What is the y-value of the vertex of the function f(x) = -(x + 8)(x - 14)?

Summary:

The y-value of the vertex of the function f(x) = -(x + 8)(x - 14) is 121.

A circle has a diameter of a little more than 1/2 mile. If you walk at 2 mph how long will it take to walk around the circle

Answers

Answer:

6mph

Step-by-step explanation:

look how he has proved that

infinity is equal to 0

how please help me please please please please​

Answers

Answer:

false

Step-by-step explanation:

as a guy who studied calculus, a lot of things were done that are just mathematically incorrect. for instance,

infinity - infinity is not 0.

0÷0 is undefined. so you cant just equate it to ( 2 × infinity)

to sum up this proof is entirely false.

if you still have any doubts make sure to ask.

Answer:

Refer to the attachment .

_______

Hope it helps ⚜

A right triangle has one leg that is 12 units long and a hypotenuse that is 15 units long. Find the length of the other leg.

Answers

Answer:

9

Step-by-step explanation:

let's assume ;

12=a

15=c

?=b

so;

a2+b2=c2

(12)2+b2=(15)2

144+b2=225

b2=225-144

b2=81 (square root both sides)

You'll get

b=9

NB; 2 is used as squared

Answer:

ITS 9

Step-by-step explanation:

Trust me i just finished the quiz (credit to dude on top)

I need to know the of the blue line

Answers

Step-by-step explanation:

if i pick (3,4) and (6,10)

the formula for gradient is difference in y divided by difference in x . therefore

10-4 divided by 6 - 3 equals to 6 divided by 3 = 2

the gradient is 2

Subtract.

3x−5x−4−x2+12x−17x2−16

Answers

Step-by-step explanation:

3x - 5x - 4 - x^2 + 12x - 17x^2 - 16

= -2x - 20 - 18x^2 + 12x

= 10x - 20 - 18x^2

Hope it helpz~ uh..

Which of the following is most likely the next step in the series?
:
⠀⠀⠀
OA.
OB.
O C.
OD.

Answers

the correct answer for this is C

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

Option C is the correct answer.

What is a series of patterns?

A series of patterns is a sequence of recurring designs or motifs that follow a particular order or progression.

Patterns can be found in many different fields, such as mathematics, science, art, and literature.

We have,

From the series of patterns,

We see that,

In the first pattern, there are 3 rows with 2 dots in each row and 2 columns.

In the second pattern, there are 4 rows with 3 dots in each row and 3 columns.

This means,

In the third pattern, there must be 5 rows with 4 dots in each row and 4 columns.

Thus,

The most likely next step in the series is 5 rows with 4 dots in each row and 4 columns.

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Help will name Brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

using the sine or cosine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

8 cm 11 cm 14 cm volume​

Answers

Answer:

410.7 cm^3

Step-by-step explanation:

volume = (l*w*h)/3

volume = (14*8*11)/3

volume = 410.667

Which of the following equations is the translation 2 units up of the graph of y= 1x1

1.y=1x-21

2.y=1x+21

3.y=1x1-2

4.y=1x1+2

Answers

Answer:

4. y = |x| + 2

Step-by-step explanation:

"g(x) = |x| + k" means that f(x) will be translated however many units up or down depending on k. If k is positive, the graph will translate up. If k is negative, the graph will translate down. Because we need to translate up, the value of k needs to be positive. The best answer choice is choice 4, y = |x| + 2.

We can eliminate choices 1 and 2 because the way the equations are set up are for the horizontal translations.

g(x) = |x - h| are for horizontal translations.

g(x) = |x| + k are for vertical translations.

The third choice is wrong as well because k is negative, not positive.

hope this helps!

Answer:

4. y = |x| + 2

Step-by-step explanation:

Several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday. Their answers were 2, 0, 7, 8, 5, 8, 4, 0, 3, 6. How many students were asked? How do you know? Complete the explanation.

Answers

The total number of students that asked questions can be determined by counting the total answers. The total number of students that were asked is 10

What are sample size?

The sample size is defined as the total number of respondents present in a sample.

If several students in Ashton's class were randomly selected and asked how many text messages they sent yesterday and their answers are 2, 0, 7, 8, 5, 8, 4, 0, 3, 6

The total number of students that asked questions can be determined by counting the total answers.

From the data given, the total number of students that were asked is 10

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What is the solution of the system? Solve using matrices. 25 points

x+2y=9
x+y=1

Answers

Answer:

x = -7 and y=8

Step-by-step explanation:

solnusing by elimination method 1|x+2y=9 1| x+y=1 |x+2y=9 -|x+y=1 x-x+2y-y=9-1 0+y=8 y=8

1|x+2y=9 2|x+y=1

|x+2y=9 -|2x+2y=2

x-2x+2y+2y=9-2

-x=7divide -1 both side with the make value of xx=-7therefore x=-7 and y=8. this is my answer

If 3 cups of sugar are used to make 12 cupcakes, how many cups of sugar are used to make 30 cupcakes

Answers

Answer:

7.5 cups of sugar

Step-by-step explanation:

3 cups /12 cupcakes    *   30 cupcakes = 7.5 cups

Point A is located at (-2, -3). After it is transformed, point A' is located at (-2, 3).
How was the point transformed?

It was reflected in the y-axis

it was rotated 180°

it was rotated 90 around the origin

it was reflected in the x-axis

Answers

Answer:

D.

Step-by-step explanation:

All the other answers are wrong.

The points are reflected across the x-axis.

Here is why:

Point A is at (-2, -3)Point A' is located at (-2, 3)If you move across the x-axis in this form, you will see that they are reflected.

Correct choice is D.

4.1: Angle Articulation

Triangle A'B'C' is a dilation of triangle ABC using center P and scale factor 2.

1. What do you think is true about the angles in A' B'C' compared to the angles in ABC?

2. Use the tools available to figure out if what you thought was true is definitely true for
these triangles.

3. Do you think it would be true for angles in any dilation?

Answers

1.) The measure of each angle of  ABC is equal to the corresponding angle of  A'B'C' , the measures of this angle is preserved when you rotate the triangle.

2.) It was clear that triangle A'B'C' is dilated form ABC, meaning the angles will be the same.

3.) The rules for dilation only change the length of the triangle not the angles.

Bobby spent $12 at the football game Friday night. He spent $2 on nachos, $5 on drinks, $3 on popcorn, and $2 on candy. What percentage of Bobby's expenses do the nachos and candy represent?

Answers

Answer:

33.3%

Step-by-step explanation:

$2 on nachos and $2 on candy will get you $4 spent on them both.

You then have a fraction (4/12)which is 1/3.

1/3=33.3%

The answer is 20%

Explanation: he spent 4$ on nachos and candy, over a total of 24. The fraction turns into 1/5 which as a percentage is 20%

Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain​

Answers

Answer:

Hanna

Step-by-step explanation:

In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,

Speed of Hanna = 50mph (as given in ur question)

Speed of Thomas

Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,

Distance traveled = 12miles

Time taken = 15minutes

Speed = 12miles/15mim

Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4

that is 15 times 4 is 60. But to make the ratio equal

we have to multiply the distance too by 4.

= 12*4/15*4

=48 miles/60minutes

=48miles/1hour

=48mph

Comparing both speeds

Speed of Hanna compared to Speed of Thomas,

50mph > 48mph

Hence, Hanna has the faster speed.

For a typical human height of 2 meter what is the horizon distance on earth (r=6378) (b mars R=3,340

Answers

The horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

The complete question is:

" For a typical human height of 2 meters, what is the horizon distance on A) Earth (R=6378 km); B) Mars ( 3,374 km); C) The Moon ( 1,738 km); Mars' moon Diemos ( 6 km) "

Radius touching the line which passes touching the circle (tangent) is perpendicular(to 90°) to it.

Consider the diagram attached below:

The distance D is the distance of horizon from the eyesight of viewer.

The value of h is the height of the observer.

For the triangle ABC, the length of the hypotenuse is: h + R

Other two sides which are mutually perpendicular are of length R and D.

Thus, by using Pythagoras theorem, we get:

[tex]R^2 + D^2 = (h+R)^2\\D = \sqrt{h^2 + R^2 + 2hR -R^2}\\\\D = \sqrt{h^2 + 2hR}\\[/tex]

(positive root as D is representing length, a non-negative quantity).

We're given h = 2, so we get:

[tex]D = \sqrt{4+4R} = 2\sqrt{1+R} \: \rm m[/tex]

A) Earth (R=6378 km);

6378 km = 6378000 m

[tex]D = 2\sqrt{6379001} \approx 5051 \: \rm m \approx 5 \: km[/tex]

B) Mars ( 3,374 km);

3374 km = 3374000 m

[tex]D = 2\sqrt{3374001} \approx 3674 \: \rm m \approx 3.7 \: km[/tex]

C) The Moon ( 1,738 km);

1738 km = 1738000 m

[tex]D = 2\sqrt{1738001} \approx 2637 \: \rm m \approx 2.6 \: km[/tex]

D)Mars' moon Diemos ( 6 km)

6 km = 6000 m

[tex]D = 2\sqrt{6001} = 154.93 \: \rm m \approx 0.15 \: km[/tex]

Thus, the horizon's distance for a typical human being (2 m height) for earth is 5 km, for mars it is 3.7 km, for moon its 2.6 km, and for Diemos it is 0.15 km (all calculations approx).

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(-41) + (-40) = ?
I don't understand this question ⁉️ I tried to solve it but I don't know how to check my own work.

Answers

Answer:

[tex]( - 41) + ( - 40) \\ - 41 - 40 \\ 81[/tex]

Step-by-step explanation:

I hope I helped you! :)

Factor the expression 25x² - 36.
O A. (5x²-6)(5x² + 6)
B. (5x-6)²
O C. The expression is already fully factored.
OD. (5x-6)(5x + 6)

Answers

The answer is D (5x-6)(5x + 6)

Please help I'll give Brainliest and Thanks. its also due in 15 minutes.


Simplify: -1║2/3 - 4║ ÷ 5/6

║means an absolute value line.

A. -4

B. -25/9

C. 25/9

D. 4

Answers

Answer:

A or -4

Step-by-step explanation:

simplify to -1 || -10/3 || × 6/5

-1 × 10/3 × 6/5

-1 × 2 × 2

What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest
form.
1/1/2 1/1/2 2ft

Answers

Answer:

[tex]\text{the volume of the prism =} \ 4\frac{1}{2} \ ft^3[/tex]

Step-by-step explanation:

Formula _____________________

the volume of a prism = base × height

================================

[tex]\text{base\ =} \ 2\times 1\frac{1}{2} =2\times \left( 1+\frac{1}{2} \right) =2\times \left( \frac{3}{2} \right) =3[/tex]

[tex]\text{the volume of the prism =} \ 3\times \left( 1\frac{1}{2} \right) =3\times \left( \frac{3}{2} \right) =\frac{9}{2} =4\frac{1}{2}[/tex]

valerie cut a ribbon into four pieces three of the pieces are 6 inches long the other piece is 3 inches long how long was the ribbon before valerie cut it

Answers

6x3+3=21 there are 3 pieces of 6 inch ribbon which gives us the 6x3 and 1 piece of the 3 inch ribbon which makes us add 3
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