15 POINTS
Identify the center and radius of a circle with equation (x-4)^2 + (Y+2)^2 =9

A.) Center at (4,2); radius: 9
B.) Center at (-4,2); radius: 9
C.) Center at (4,-2); radius: 3
D.) Center at (-4, 2); radius: 3

Answers

Answer 1

The basic formula for a circle is (x - h)^2 + (y - k)^2 = r^2, where the center is (h, k) and the radius is found by taking the square root.

h = 4

k = -2

Center: (4, -2)

square root of 9 = 3

Radius: 3

Correct Answer: C

Hope this helps!

Answer 2
Center (6 , -5) and radius = 3

Related Questions

If the scale factor here is 3 (k=3), and if the distance from A to B is 8 units, then what would be the distance from A’ to B’?

8

8/3

24

3

Answers

Distance between AB=8unitsScale factor=3=k

Distance between A'B':-

8k8(3)24

Option C

The first term of a geometric sequence is 4 and grows exponentially by a factor of 3. Murphy writes out the terms and says that the sum of the 4th and 5th terms is​ 1,296. Explain​ Murphy's error and correct it. (Fill in the blanks)
Murphy added terms
____
together. The correct sum of the 4th and 5th terms is ___
​(Simplify your​ answer.)

Answers

The geometric sequence can increase or decrease exponentially

The correct sum of the 4th and the 5th terms is 432

How to determine the correct sum?

The given parameters are:

Initial value (a) = 4

Growth factor (r) = 3

The nth term of a geometric sequence is calculated as:

[tex]T_n = ar^{n-1}[/tex]

This gives

[tex]T_n = 4 * 3^{n-1}[/tex]

For the 4th term; we have:

[tex]T_4 = 4 * 3^{4-1}[/tex]

[tex]T_4 = 108[/tex]

For the 5th term, we have:

[tex]T_5 = 4 * 3^{5-1}[/tex]

[tex]T_5 = 324[/tex]

Add the 4th and the 5th terms

Sum = 108 + 324

Sum = 432

Hence, the correct sum of the 4th and the 5th terms is 432

Read more about geometric sequence at:

https://brainly.com/question/24643676

What can you tell about the numbers?

Equations can be for example like: -1 ≤ x < 4

Answers

Answer:

Step-by-step explanation:

The numbers lies between 80 and 140

80 < x <140

Hollow dot at point 80 and 140 indicates that 80 and 140 are not included

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches what is the radius

Answers

Answer:

As Per Provided Information

A cylinder has a volume of 320 pi cubic inches and a height of 5 inches.

We have been asked to determine the radius of the cylinder .

Using Formulae

[tex] \purple{\boxed {\bf\: Volume_{(Cylinder)} = \pi {r}^{2}h}}[/tex]

Substituting the value and let's solve for radius .

[tex] \sf \qquad \longrightarrow \: 320 \pi \: = \pi \: \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 \cancel{\pi} = \cancel{ \pi} \times r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:320 = r {}^{2} \: \times 5 \\ \\ \\ \sf \qquad \longrightarrow \:r {}^{2} \: = \cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = \cancel\cfrac{320}{5} \\ \\ \\ \sf \qquad \longrightarrow \: {r}^{2} = 64 \\ \\ \\ \sf \qquad \longrightarrow \:r \: = \sqrt{64} \\ \\ \\ \sf \qquad \longrightarrow \:r \: = 8 \: inch[/tex]

Therefore,

Radius of cylinder is 8 Inches .

A rectangular prism has a length of 3 inches, a width of 5 inches, and a height of 7 inches.

What is the volume of the prism?

Enter your answer in the box as a simplified mixed number or a decimal.


in.³

Answers

Answer:

105³

Step-by-step explanation:

3x5=15

15x7=105

105 is your answer.

How is the graph of g(x) = -x2-2 related to the graph of f(x)=x2?
The graph of gx) = -x2-2 is reflected across the y-axis and translated up 2 units.
The graph of g(x) = -x2–2 is reflected across the x-axis and translated up 2 units.
The graph of g(x) = -x2-2 is reflected across the y-axis and translated down 2 units.
The graph of g(x) = -x2-2 is reflected across the x-axis and translated down 2 units.

Answers

Answer:

The graph of g(x) = -[tex]x^{2}[/tex]-2 is reflected across the x-axis and translated down 2 units.

Step-by-step explanation:

- f(x)  reflects the graph over the x-axis;  f(-x) would reflect the graph over the y-axis

f(x) + k translates the graph up k units; f(x) - k translates the graph down k units

name 2 semi circles


Answers

Answer:

Arc CDE and arc EAC.

Step-by-step explanation:

Semicircles are exactly one-half of a circle and are always equal to 180 degrees. Since line CE is a horizontal line, measuring 180 degrees, 2 semicircles can be arcs CDE and EAC because they equal half of the circle.

I hope this helps!

Use your TI-83 to determine the necessary t* value for a 90% confidence interval
based on a sample size of 55 and a sample standard deviation of 7.42.

2.005
1.669
1.96
1.645
2.67

Answers

Answer:

Step-by-step explanation:

It is 1.645. My calculator is a little off though; see attached picture.

Find the GCF of 78 and 93.

Answers

Answer:

3

Step-by-step explanation:

Greatest common factor (GCF) of 78 and 93 is 3. GCF(78,93) = 3.

please help i am confused.

Answers

The answer would be (540 - (111 + 103 + 122 + 90[because of the right angle]) and 540 is the total angle measurement of a pentagon (or a 5 sided figure)

I am thinking of a number. The sum of its digits is divisible by 2. My number is a multiple of 11. My number is greater than 4 x 5 but less than 7 x 8+ 23. The number is a multiple of 3. What is my number? Is it possible to have more than one answer? ​

Answers

Answer:

66

Step-by-step explanation:

Number:xy

20<xy<79

Multiples of 2,3,11

The least common multiple of this number is 66.


Fifteen less than the square of a number is the same
as twice the number. Find the number.

Answers

Call the number : a

We have : [tex]a^{2} - 15 = 2a[/tex]
[tex]- > a^{2} - 2a = 15 - > a(a-2) = 15[/tex]

Now, we list all the numbers that can be multiplied to get 15 :

1 x 15 (and reverse)
3 x 5 (and reverse)

-1 x (-15) (reverse)
-3 x (-5) (a l s o r e v e r s e)

We substitute in :

If a = 1 -> a(a-2) = 1 x (-1) = -1 (not equal 15)
If a = 3 -> a(a-2) = 3 x 1 = 3 (not equal 15)
If a = -1 -> a(a-2) = -1 x (-3) = -3 (also not equal 15)
And if a = -3 -> a(a-2) = -3 x (-5) = 15 (satisfied)

So, the number is -3

Recheck : -3(squared) - 15 = 9 - 15 = -6
Twice of -3 = -6

Hello!

[tex]========================================[/tex]

First of all, let the unknown number be z.

Then, "the square of z" means "z squared" which is the same as "z times z" or just z².

Now, "fifteen less than the square of z" means we subtract 15 from z²:

z²-15

Then, this equals twice the number, or 2 times z:

z²-15=2z

[tex]========================================[/tex]

Notes:-Hope everything is clear.Let me know if you have any questions!Always remember: [tex]\boxed{Knowledge~is~power!}[/tex]Enjoy your day!Answered by[tex]\boxed{An~Emotional~Helper}[/tex]

:-)

if there are 15 plane 2 crash 1 breakdown how many planes are left

Answers

Answer:

15 planes

Step-by-step explanation:

none disappear, just change shape/ability. its a riddle.

Answer:

15-2-1 = 15-3 = 12.

there are 12 planes left.

Step-by-step explanation:

hope this helped have a nice day

can you pls help me i need it?

Answers

Answer:

$114.75

Step-by-step explanation:

You have to multiply the hours by the wage. Looking at the time that the worker was in during the morning, it was a total of 4 hours. Since the wage is $13.50/hr, we would multiply 13.50 by 4.

13.50 * 4 = 54.00

So, now we have to add together the total hours in the afternoon. If we count the time, we get 4 1/2 hours. So, now we multiply 13.50 by 4.5.

13.50 * 4.5 = 60.75

Now, to find the total pay for that day, we add both the morning and the afternoon pay together.

54.00 + 60.75 = 114.75

Therefore, the pay for this day is $114.75.

help me please. lesson 9.3 converse if the pythagorean theorem

Answers

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute


Given the equation of a circle. X^2+ y^2 - 6x + 2y +1 = 0, find the coordinates of the center and the length of the radius.
Coordinates for the center=
Length of the radius =

Answers

Answer:

I know the answer but you may select me as Brainliest

Answer:
Center: (3, -1)
Radius: 3

Steps:
Rewrite in standard form to find the center
(h,k) and radius.

x^2 + y^2 - 6x + 2y + 1 = 0
Standard Form: (x - 3)^2 + (y + 1)^2 = 9

Center: (3, -1)
Radius: 3

Use the dot plot to answer the question.

A dot plot that has 3 dots at 1, 4 dots at 2, 3 dots at 3, 4 dots at 4, 5 dots at 5, & 3 dots at 6.

What is the mean of the data set in the dot plot?

Enter your answer as a number rounded to the nearest tenth, like this: 42.5

Answers

The mean of the data set is 2.20

Find the volume of combined solid from the given figure.​

Answers

Answer:

1944 cubic cm

Step-by-step explanation:

Find the answer by figuring out the volumes independently for each figure.  After doing that, add both volumes together to get the full volume.

Bottom figure: 1440 cubic cm

Top figure: 504 cubic cm

Add those together: 1944 cubic cm

Solve for x.
8.7 + X = 7
1.1
---
x = [?]

Answers

X = 62.4

:)

to get X, i would subtract, 71.1 - 8.7, and the answer would be X, not %100 sure though sorry.

What shape am i 3equal side each 4cm not right angles

Answers

Answer:

Triangle

Step-by-step explanation:

A regular triangle has equal sides and no right angles. Hope this helps. ^^

Volt Electronics sells a Y-Box game console for $207. The store markup on thr Y-Box is 38%. What was the wholesale price that the store paid for it?​

Answers

The wholesale price that the store paid for the Y-Box game is $150.

What is the wholesale price?

When the price of an item is marked up, it means that the price of the item was increased by a certain percentage. The good then becomes more expensive.

Wholesale price = selling price / ( 1 + percentage mark up)

$207 / (1+ 38)

$207 / (1.38) = $150

To learn more about profit, please check: https://brainly.com/question/26181966

Can someone help me on this question? I’ll give brainliest if you answer soon!!!

Answers

Answer:

∠ 5

Step-by-step explanation:

Given;

Which angle number represents ∠ WYU

picture

Solve;

First, we have to find the letters WYU in the picture.

Knowing that, WY is an edge, YU is an edge.

And these two sides intersect at Y.

So you get ∠ WYU. As shown in the figure in the picture, 5 represents

∠ WYU

~Learn with Lenvy~

PLSS help this is important
(will give brainliest)

Answers

Answer:

A (first one)

Step-by-step explanation:

From T to T' you add 2 to the x and subtract 3 from the y

Then you do that to the x and y on O and Y

So for O, -4+2 is -2 and 1-3=-2

then you just do that for Y and you get (0,0) when applied

In the figure below, triangle ABC undergoes a reflection and a translation to become triangle PQR. In triangle ABC, m

The angle measures of triangle PQR are: m

Answers

Answer:

Step-by-step explanation:

A corresponds to angle P, so angle P measues 70 degrees.

Similarly, angle Q measures 60 degrees and angle R measures 50 degrees.

What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​

Answers

Answer:

centre (5, 6 ) , r = [tex]\sqrt{37}[/tex]

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given

x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )

x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

(x - 5)² + (y - 6)² = 37 ← in standard form

with centre (h, k ) = (5, 6 ) and r = [tex]\sqrt{37}[/tex]

A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 1 yard long, and the height of the equilateral triangle is 0.9 yards. The pyramid's slant height is 1 yard. What is its surface area?

Answers

Answer:

base: 1/4 * 12^2 * √3 = 36√3

each face: 1/2 * 12 * 8 = 48

Now finish it off

Step-by-step explanations:

20 people reported enjoying dancing and 11 of them were under 40. What percentage of people who enjoy dancing are under 40 years old?

Answers

Step-by-step explanation:

11 ÷ 20 = 0.55

0.55 × 100 = 55

so 55%

11/20=.55
convert .55 into a percentage
55%

which inequality does the graph represent?

Answers

Answer: x ≥ -1

Step-by-step explanation:

First, we see the filled in dot, so we know x can be equal to -1. Since this is a ray, all valid values of x must be greater or equal to -1. Therefore, our answer is x ≥ -1

The answer here will be -1

Solve for A
ASAP ANSWER

Answers

Step-by-step explanation:

A = B

7x + 40° = 3x + 112°

7x - 3x = 112° - 40°

4x = 72°

x = 18°

A = 7x + 40°

= 7(18°) + 40°

= 126° + 40°

= 166°

hope it help

can you help to answer my question? my math is better ,but my english is bad ,can you help me,please

Four eighths of kelly’s beads are red, 18 are white, and the rest are blue.
what fraction of kelly’s beads are blue?

Answers

4/8=1/2 so Kelly blue beads are also 4/8. Sorry if I’m wrong.
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