What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64

Answers

Answer 1

Answer:

The diameter of a circle with the equation is 16.

Step-by-step explanation:

Given the equation

[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]

We know that the circle equation with radius 'r', centered at (a, b)

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]

Here,

radius = r = 8

center = (4, -6)

Hence, the radius of the circle is: r = 8

we know that

diameter = 2r

               = 2(8)

               = 16

Therefore, the diameter of a circle with the equation is 16.

Answer 2

Answer:

They are correct. The answer is c. 16

Step-by-step explanation:


Related Questions

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?

A.Green and brown are equally expressed so they are both dominant.


B.Green is more common than brown so more green genes are passed on.


C.The gene for green color is dominant over the gene for brown color.



D.The gene for brown color is dominant over the gene for green color.

Answers

Answer:

C.

The green color gene is more dominant over the gene for brown color.

Step-by-step explanation:

Whichever gene is dominant is the one that will be applied to the organism.

Find the y-intercept of the line on the graph. Please help!

Answers

Answer:

The y-intercept is 0 because it pass through the zero on the y - axis

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle

Answers

72 = 12x
x= 6

A= 3x
A=18cm
B=4x
B=24cm
C=5x
C=30cm

Area=(A*B)/2
Area=216cm^2

The area of the given triangle will be 216 cm²

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.

Let the side lengths of the given triangle be 3x, 4x, and 5x

The perimeter of the triangle = 3x + 4x + 5x

72 = 12x

x = 6

So first side length = 3(6) = 18 cm

So second side length = 4(6) = 24 cm

And third side length = 5(6) = 30 cm

Area of the triangle = (18 × 24)/2

Area of the triangle = 216 cm²

Therefore, the area of the given triangle will be 216 cm².

Learn more about the triangles here:

https://brainly.com/question/17997149

#SPJ2

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

Color of socks white black blue brown
Number of socks 5 8 4 6


The ratio of blue socks to nonblue socks is

Answers

Answer:

4/19          

Step-by-step explanation:

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

Help!!!!!!! Meeee plead I’ve already out this question down but nobody answers it:(

Answers

Answer:

1. Y = 6

2. Y = 8

3. Y = 1

4. Y = 3

Step-by-step explanation:

1. Y = -(-1) + 5 = 1 + 5 = 6

2. Y = -(-3) + 5 = 3 + 5 = 8

3. Y = -4 + 5 = 1

4. Y = -2 + 5 = 3

Hope this helps you!

Answer: hold up, the answer is 4, 2, 9, and 7. Don't worry I help you to answer this question. Wrong answer the answer is 1. Y = 6

2. Y = 8

3. Y = 1

4. Y = 3

Step-by-step explanation:

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

10 Theo earned £16520 last year and spent 13% of his money on making home improvements.
Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
f
(2)​

Answers

Answer:

2147.60

Step-by-step explanation:

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

HELPPPP
Evaluate the expression for x = 3 and y = 4.
A) -3/2
B) -9/16
C) -3/A
D)-914

Answers

Answer:

D) -9/4

Step-by-step explanation:

-4(3)³/3(4)²

-4(27)/3(16)

-108/48

divides both by 12

- 9/4

the answer is d im pretty sure


Please Help quick quick

Answers

Answer:

4

Step-by-step explanation:

Answer:

x=-5/3

x=-34/9

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

Answers

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3

Answers

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answers

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

read more: https://brainly.com/question/11473110?referrer=searchResults

What is 2373.84 rounded to the nearest hundredth

Answers

Answer:

2400 ( if it the HundredTHS place Then it will just be 2373.84 because there is no thousandths place :P )

Step-by-step explanation:

index notation 3 x 7 x 7 x 7 x 7​

Answers

Answer:

7203

Step-by-step explanation:

sorry if I am wrong

Answer:

Step-by-step explanation:

3×7⁴

May it help

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:3.6

0

Step-by-step explanation:

Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4

Solve w + (-2) = -18 for w.

w =

Answers

Answer:

Step-by-step explanation:

w - 2 = -18

w - 2 + 2 = - 18 + 2

w = -16

Answer:

-16

Step-by-step explanation:

w + (-2) = -18 w= -16

14
A canteen spends money on food and drink in the ratio of 29:3
In total, they spend £6496.
Find how much money they spend on drink.​

Answers

Answer:

Money spend on drink  = £ 609

Step-by-step explanation:

Food : drink = 29 : 3

Money spend on food = 29x

Money spend on drink = 3x

Total money spend = 29x + 3x = 32x

32x = £6496

   x = 6496/32

  x = £ 203

Money spend on drink = 3x = 3 * 203 = £ 609

Answer:

who knows the answer if u know the answer pls tell

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answers

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides:          1 = 1.4x + 3.1Subtract 3.1 on both sides:             -2.1 = 1.4xDivide both sides by 1.4:                 -1.5 = xRewrite:                                            x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply:                           -0.3 + 1 = -2.4 + 3.1Add:                                 0.7 = 0.7
Your answer is -1.5

1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was

that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,

2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed

on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and

played throughout the night. As each group awoke, their sleep times were monitored.

Independent Variable:

Dependent Variable:

Experimental Group:

Control Group:

3 constants:

?

Answers

Answer:

Independent Variable:  Jazz music

Dependent Variable: Sleeping Time

Experimental Group: people sleeping with jazz music

Control Group: people sleeping without jazz music

3 constants:

No of people in group

Jazz music

Sleep

Step-by-step explanation:

The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.

The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.

Experimental group on which experiment is being carried out.

Control group is which determines the changes in experimental group.

Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .

find the values of x, y, and z
81
91
99
101
180​

Answers

Z=99, Y=99, and X=81 :)

what is halfway between 8.270 and 8.280

Answers

Answer:

It's 8.275. Hope that helped...

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