What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16

Answers

Answer 1

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4


Related Questions

0.00003
2 x 10-5
=
?

Answers

Answer:

[tex]0.00003=3[/tex]×[tex]10^{-5}[/tex]

[tex]2[/tex]×[tex]10^5[/tex] = [tex]200,000[/tex]

Step-by-step explanation:

When working with scientific notation, you are either given a decimal or whole number. The point of scientific notation is to rewrite a number in a more simplified form.You need to change the number so that there is one number on the left side of the decimal. An exponent is used to describe the change in the number. For example:

0.00003

In order to get one number to the left of the decimal, you need to move the decimal to the right 5 spaces. Since the zeros are to the left of the primary number (3), the exponent will be negative. The exponent itself will be the spaces you moved:

[tex]3[/tex]×[tex]10^{-5}[/tex]

The ten is used because of the decimal places you are moving. When you multiply a number by 10, you add a zero. For example:

[tex]2[/tex]×[tex]10^5[/tex]

Since there is a 10, we will be adding in zeros. The exponent determines how many zeros will be added. Since it is a positive number, the numbers will be to the right of the primary number:

200,000

Are my answers correct?

Answers

Answer:

I would have got the same answers so probably yea

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

According to my understanding I believe you are correct!

This table shows the area in inches of four rectangular scraps of fabric.

What is the median of the sizes of the four scraps of fabric?

78 in²

80 in²

82 in²

84 in²

table:
Scrap Area (in²)

A 84
B 72
C 80
D 84

Answers

Answer: 82

Step-by-step explanation:

(80+ 84) / 2

164/2

Answer:

82

Step-by-step explanation:

2. Simplify.
–48
O A. 4213
OB. -4213
O C.-4v3
OD. 4V3

Answers

D
48
2 24
12 2
6 2
3 2
2•2V3
4V3

Find the exact solution of the equation. 7^x=8

Answers

Answer:

[tex] log_{7}(8) [/tex]

Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.

Answers

Answer:

x+y

Z2

1/2xy

Step-by-step explanation:

(x+y)^2 finds the area of the outer square by squaring its side length.

z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.

Factor the polynomial.

216x^3-64

Answers

(6x-4) (36x^2 +24x +16)

who can help me find the volume of this planets ?

Answers

Answer:

mercury V= 6.08×10^10

venus V=9.29×10^11

earth V= 1.09×10^12

mars V= 1.63×10^11

jupiter V= 1.43×10^15

saturn V= 8.27×10^14

uranus V= 6.83×10^13

help asap please tyyy

Answers

Answer:

I believe its the blue (42 u^2)

Step-by-step explanation:

Answer:

It would be 42u^2.

Step-by-step explanation:

This is because there are 42 squares if you count them all up.

Or you can do (9)*2 + (6)*4 to get it.

helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
answer ALL​

Answers

Answer:

Use Desmos for the graphs, symbolab for the inequalities answers.

Step-by-step explanation:

What is the answer to this question?

Answers

Answer:

The answer is 480 in^3

Step-by-step explanation:

Right rectangular prism calc - find V

volume = h * w * l where h is prism height, w is its width and l its length.

Identify the value of r and a1 for each geometric
series.
8 + 4 + 2 + 1 + ...

Answers

Answer:

Step-by-step explanation:

Answer:A,E

second part 1.5,2. .5,8

Step-by-step explanation:

How much will the guitar be worth in 10 years?

Answers

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

[tex]V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487[/tex]. Hope this helps!

Answer: $44,487

Step-by-step explanation:

To solve this, substitute t (the variable for time in the equation) with 10 to represent the value of the guitar after 10 years.

[tex]V = 12000(1.14)^{10}\\V = 12000*3.7072\\\\V = 44487[/tex]

The guitar will be worth $44,487 in 10 years.

can someone answer this please
f(x)=(x+4)^2
f(x)=x^2+4
f(x)=(x-4)^2
f(x)=x^2-4​

Answers

The answer would be f(x)=(x+4)^2

A circle has a circumference of 150 meters. What is the measure of its radius? Round
to the nearest tenth.
circumference 150 m



Answers

Answer:

23.9 is the radius

Step-by-step explanation:

150/3.14 =47.7707006369

47.7707006369/2 = 23.8853503185

Round to nearest tenth = 23.9

Hope this helps!

Answer:

23.9

Step-by-step explanation:

Five-sixths of a number is 45.
Find the number.

Answers

Answer: The number is 54!!!

Hope it helps!!!



Step-by-step explanation:

Let's call the number x.

So, 5/6 (of or multiplication) = 45

5x = 45* 6

x = 270/5

x = 54

The answer is 54. Hope this helps!

Help please
If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?

Answers

Answer:

$6.76

Step-by-step explanation:

Multiply 8.45 by 0.8 and you will get 6.76

Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?

Answers

Answer:

There are 180 possible combinations for the furniture.

Step-by-step explanation:

4*5*9=180

Answer

180 combinations

Step-by-step explanation:

To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.

Write an equation of the line that passes through (2, −2) and is parallel to the line y=3x+9.

Answers

Step-by-step explanation:

Parallel lines have the same slope, so we know that our line will have a slope of 3 because y = 3x + 9 has a slope of 3. Now, we can use the point-slope formula of the line to find the equation.

We have y - y₁ = m (x - x₁)          (m = 3, x₁ = 2, y₁ = -2)

               y- (-2) = 3 (x - 2)

               y + 2 = 3x - 6

               y = 3x - 8

Hope this helps!

Answer:

y = 3x - 8

Step-by-step explanation:

We know that parallel lines have the same gradient. In this situation we want want to work the equation of the line that is parallel to y = 3x + 9 and passes through ( 2 , - 2 ). We know that equations of lines usually go in the format of    y = mx + c

↔ Where 'm' is the gradient / slope

↔ Where 'c' is the y - intercept

Using the information in the first sentence we can set up an equation to find the value of 'c'

⇒ Form the equation

→ y = 3x + c

⇒ Substitute ( 2 , -2 ) into the equation to find the value of c

→ -2 = 6 + c

⇒ Minus 6 from both sides to isolate c

→ -8 = c

⇒ Put the value of c back into y = 3x + c

→ y = 3x - 8

So equation of the line that passes through ( 2, −2 ) and is parallel to the line y = 3x + 9 is y = 3x - 8

Pi ends after how many decimal places?

Answers

Answer:

31.4 trillion decimal places but no one really knows how many decimal places there are. 31.4 trillion decimal places is a world record set by google

Step-by-step explanation:

Answer:

`31.4 trillion decimal places.

Explanation:

As far as we know Google found out that there is about 31.4 trillion decimal places which is rounded to 3.14. Google is not 100% accurate though, Pi is a mathematical number that never ends so we just use what we know which is 3.14. Pi is an ideal that in numerical terms can be approached, but never reached. In order to calculate Pi simply involves taking any circle and dividing its circumference by its diameter. William Jones is the "founder" of Pi in 1706. Jones was a British little-known mathematics teacher, Jones was the first person to use a symbol to represent the platonic concept of Pi.

I hope this helps.  :   )

What's the numerator for the following rational
expression?
7/v+3/v=?/v

Answers

Answer:

54inches 43inches are the 53364inches rye 5t337 the earth stud is 37feet of the 368feet

Answer:

10

Step-by-step explanation:

they all have the same denominator so the only focus is adding the 7+3


Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.

Answers

Answer:

Had to look for the missing passage and here is my answer. Based on the passage from  "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.

Step-by-step explanation:

Pentagon ABCDE is rotated 90 degrees counterclockwise about the origin to form pentagon A’ B’ C’ D’ E’. What is the y-coordinate if point C’?

Answers

Answer:

4

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin the  point A(x,y) becomes A'(-y,x).

Point C has coordinates of (4, 3)

New coordinates will be C'(-3, 4)

So the answer is:

y-coordinate of C' is 4

Answer:

4

Step-by-step explanation:

Hope this helped!

math help pls, will reward.

Answers

Answer:

6. B

7. A

8. A

9. A

Step-by-step explanation:

6. As x approaches ∞ (as x goes to the right), y approaches ∞ (y goes up).

7. f(x) = -x⁴ + 5x³ − 2x + 5

The leading coefficient is negative, and the highest power is 4 which is even.  So as x→-∞, f(x)→-∞, and as x→∞, f(x)→-∞.

8. The roots are 3, -4, and 1, so the polynomial is:

f(x) = (x − 3) (x − (-4)) (x − 1)

f(x) = (x − 3) (x + 4) (x − 1)

9. The roots are 0 (multiplicity of 1), 1 (multiplicity of 2), and -2 (multiplicity of 2).

f(x) = (x − 0)¹ (x − 1)² (x − (-2))²

f(x) = x (x − 1)² (x + 2)²

How many different outcomes can happen from spinning a four-section spinner twice, according to the diagram given?
red
yellow
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
red
yellow
blue
green
blue
green
2000 Gayriyon, no
4
8
12
16

Answers

8 different outcomes

Find the range of the data in the box plot below.​

Answers

Answer:

Range: 20

General Formulas and Concepts:

Statistics

Range - the difference between the highest and lowest point

Step-by-step explanation:

Step 1: Define

Find values from box-and-whisker plot.

Highest point recorded = 25

Lowest point recorded = 5

Step 2: Find Range

Set up:                    25 - 5Subtract:                 20

Use the diagram below to find the distance between points (-6, 5) and (-1, -7).

A. 13 units

B. 19 units

C. 6 units

D. 17 units

Answers

Answer:

A. 13 units

Step-by-step explanation:

using distance formula

(x2-x1)^2 + (y2-y1)^2 in roots

(-1+6)^2 + (-7-5)^2 in roots

5^2 + 12^2 in roots

25 +144 in roots

169 in roots

13 units

The function g(n) = n2 − 16n + 69 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for g(n). (2 points)

Answers

Answer:

Step-by-step explanation:

A) y + ? = n^2 - 16n + ? + 69

y + 64 = n^2 -16n + 64 + 69

y + 64 = (n-8)^2 + 69

y = (n-8)^2 + 5

B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:

y = a(x-h) + k

it's a minimum only because the (a) value is positive

C) axis of symmetry = 8

the ratio of boys and girls at the park 9 to 6 and there were 45 boys how many girls are there?

Answers

Answer:

30

Step-by-step explanation:

9 boys: 6 girls

45 boys: ? girls

9 x 5 = 45

6 x 5 = 30

4 blue marbles, 3 green marbles, 7 yellow marbles, and 2 red marbles are in a bag. What is the probability of drawing a blue marble, putting it back in, then drawing a red marbe?

Answers

Answer:

0.375 in fraction is 38.

4/16 + 2/16 = 0.375

Step-by-step explanation:

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