Write the equation of a circle whose diameter is 8 and whose center is (-8, -5)?

Answers

Answer 1

if the diameter is 8, then its radius is half that or 4.

[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-8}{ h},\stackrel{-5}{ k})\qquad \qquad radius=\stackrel{4}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-(-8)]^2~~ + ~~[y-(-5)]^2~~ = ~~4^2\implies (x+8)^2+(y+5)^2=16[/tex]


Related Questions

Solve this equation, 2.5y = 13.75 Explain pleaseeeee
I'll give 25 points i'm desperate...

Answers

Answer:

5.5

Step-by-step explanation:

13.75 divided by 2.5 = 5.5

Find the length of the third side. If necessary, round to the nearest tenth

Answers

Answer:

9.21954445729

Step-by-step explanation:

A^2 + B^2 = C^2

7^2 = 6^2 = 85

The square root of 85 is...

9.21954445729

pythagorean theorem will solve this.

6^2+7^2
36+49
85=x^2
x=9.2

What is the slope of a line that goes through the points (3, 7) and (8, 11)

Question 4 options:

11/7

5/4

−8/3

4/5

Answers

Answer:

5/4

Step-by-step explanation:

Since the formula of finding the slope is y2-y1/x2-x1, you plug ithe numbers into the equation which is 8-3/11-7 which equals 5/4.

state how the graph will change

Answers

Option 4 is the correct one

What is the answer this math problem. -6+ -(8x - 3)

Answers

Answer:

x = -3÷8

or x = -0.375

Explanation:

-6+ -(8x-3)= -6-8x+3

= -8x -3

-8x-3= 0

-8x = 3

8x = -3

x = -3÷8

The measure of Vis 94°. What is the measure of _XYZ, the tangent-chord angle? O A. 440 X O B. 47° C. 1889 2 Z O D. 940​

Answers

Answer:

B

Step-by-step explanation:

the tangent- chord angle XYZ is half the measure of its intercepted arc XY

∠ XYZ = [tex]\frac{1}{2}[/tex] × 94° = 47°

Answer:

I think that the correct answer would be B. 47 degrees

Step-by-step explanation:

hope this helps

pls mark brainliest

A parking garage charges a fixed amount of money for each hour that it is used.

Answers

Ok what is the rest of the question

What is 3/8÷(−5/12)?
A.) −32/5
B.) −9/10
C.) −10/9
D.) −5/32

Answers

Answer:

B

Step-by-step explanation:

Answer: B
Explanation: Because 3/8 divide -5/12 goes to 3/8 times -12/-5 which then leads to 36/-40. Divide by 4. Which would then equal to -9/10.

I hope this helps

HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth

Answers

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)


explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

This is just a question to answer to boost your points. (students who need points to find answers only!)

What is the correct answer to 5x5/2?

Answers

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.​

Answers

Answer:

6/5

Step-by-step explanation:

Let size 4 football radius = x,

and size 5 football radius = y,

Volume of size 5 = Volume of size 4 × (1 + 0.728)

Using the sphere volume formula,

V = (4/3)πr³

(4/3)πy³ = (4/3)πx³ × (1.728)

= 1.728x³

y = ³1.728 x

y/x = 6/5

Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5

Answer:

6/5

Step-by-step explanation:

the table shows some ordered pairs that belong to quadratic function h​

Answers

The table represents the quadratic function h​(x)

The range of the quadratic function is (d) all real numbers greater than or equal to -8

How to determine the range?

The range of the quadratic function is the list of the function ouput values.

From the table, we have:

The smallest output value is -8

Assume this is the vertex of the quadratic function, the range of the quadratic function would be (d) all real numbers greater than or equal to -8

Read more about range at:

https://brainly.com/question/10197594

find area of rhombus . please./.

Answers

Answer: 126

Step-by-step explanation:

Help me quickly!!
Brainliest + 50 points
No spammers allowed
Thanks in advance
:) :)

Answers

Answer:

x = 5

Step-by-step explanation:

Given coordinates: (3, 4) (x, 6)

Slope: 1

Use the slope formula to find the value of x:

Slope = y2 - y1 / x2 - x1

Substitute the given information into the formula:

1 = [tex]\frac{6-4}{x-3}[/tex]

1 = [tex]\frac{2}{x-3}[/tex]

Multiply both sides of the equation by the common denominator:

[tex]\frac{2(x-3)}{x-3} = x-3[/tex]

Reduce the fraction:

2 = x - 3

Rearrange variables to the left side of the equation:

-x = -3 - 2

Calculate:

-x = -5

Divide both sides with the coefficient of the variable:

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer:

x = 5

Step-by-step explanation:

Slope formula

[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\sf let\:(x_1,y_1)=(3,4)[/tex]

[tex]\sf let\:(x_2,y_2)=(x,6)[/tex]

[tex]\sf \implies slope=\dfrac{6-4}{x-3}=\dfrac{2}{x-3}[/tex]

As the slope equals 1:

[tex]\begin{aligned}\sf \implies \dfrac{2}{x-3} & =1\\\sf 2 & =\sf x-3\\ \sf 2+3 & =\sf x\\ \sf x & = \sf 5\end{aligned}[/tex]

Therefore, x = 5

what is the answer forAt a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?

Answers

Answer:

160

Step-by-step explanation:

72=0.45x

72/0.45=x

x=160

On a hike you climbed to an altitude of 125 feet above sea level. Base camp is located at 32 feet below sea level. How far did you climb from base?

Answers

Answer:

32

Step-by-step explanation:

Tell which set or sets the number below belongs​ to: natural​ numbers, whole​ numbers, integers, rational​ numbers, irrational​ numbers, or real numbers.
26

Part 1
Select all that apply.
A.
irrational numbers
B.
whole numbers
C.
real numbers
D.
natural numbers
E.
integers
F.
rational numbers

Answers

Answer:

26 is a:

B. Whole number

D. Natural number

E. Integer

F. Rational number

Answer:

B, C, D, E, F or all options except A

Step-by-step explanation:

26 is not an irrational number since irrational numbers cant be put in fraction form while 26 can be. ex: 26/1, 52/2 and so on

26 is a whole number.

whole numbers are 0 1 2 3 4 and so on

26 is a real number

imaginary number example: sqrt of -2

natural numbers are numbers going from 1 to infinity

integers are any number that is not a decimal.

26 is rational since it's not irrational.

A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?

Answers

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

What is volume?

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2


Thus, the required radius of the sphere is 2 inch.

Learn more about Volume here:
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#SPJ2

find the perimeter of polygon

Answers

Answer:

22

Step-by-step explanation:

4+7+4+7=22

Determine algebraically whether the function is even, odd, or neither even nor odd. f(x) = x^2

Answers

Answer:

The function is even

good luck

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.

–4, –3, 2, 3, 4

Which are actual roots of f(x)

Answers

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

x² + x – 12 = 0

x² + 4x – 3x – 12 = 0

x(x + 4) – 3(x + 4) = 0

(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

Answer:

-4 AND 3

Step-by-step explanation:

i need help with this

Answers

Two independent variables that can affect the cost of the supplies are:

x = number of pencils bought.y = number of notebooks bought.

What is an independent variable?

An independent variable is a variable that can change freely.

For example in the given situation, we could define the independent variables:

x = number of pencils bought.y = number of notebooks bought.

Notice that these variables are independent because these don't depend on each other.

Then if each pencil costs A, and each notebook costs B, the cost function will be:

C(x, y) = A*x + B*y

So there you have two independent variables that affect the cost of the supplies.

If you want to learn more about independent variables, you can read:

https://brainly.com/question/82796

What is the sum? 2x/x2 + x-4/9x

Answers

Answer:

(x² + 14x)/(9x²)

Step-by-step explanation:

To do this calculation process:

The first term: 2x/x² = 2/x.

Then: (2/x) + (x - 4)/(9x).

We should common the denominator by multiplying the denominators of the two terms (9x)(x) = 9x² and dividing each denominator by the common denominator.

So, it will be equal:

[(2)(9x) + (x - 4)(x)]/9x² = (18x + x² - 4x)/9x² = (x² + 14 x)/9x².

Please answer quickly Attachment down below

Answers

Answer:

He needs to find the area of each lateral face plus the area of the base. The total surface area is 84.

Step-by-step explanation:

area of a triangle= b×h×1/2

therefore area of each triangle(lateral face)= 6×4×1/2= 12

12×4 because there are 4 triangles=48

then the area of the base= 6×6= 36

total surface area= 36+ 48=84

Choose the correct answer in each number.

1. It is the sum of all areas of lateral faces
and bases of solid figure.
A. Base area B. Lateral area C. Surface area D. None of the above

2. A flat pattern that you can fold to form a solid figure is called a/an _____.
A. Area B. Edge C. Face D. Net

3. The surface area of a cube is _____ times the area of its face.
A. Three B. Four C. Five D. Six

4. In a cylinder, the edge or length of the lateral surface is equal to _____ of its base.
A. Circumference B. Perimeter C. Radius D. All of the above

5. The lateral surface of a cylinder when it is unrolled will be _____
A. Rectangle B. Trapezoid C. Triangle D. All of the above

6. The solid figure that has surface area equivalent to for times the areas of circles of the same radii is _____.
A. Cube B. Cone C. Tetrahedron D. Sphere

7. To get the lateral area of a cone, we use the formula _____.
A. L.A.=πr2 B. L.A.=πrs C. L.A.=πrh D. L.A.=rh

8. The sum of the area of the square base and four triangular lateral faces is the surface area of _____.
A. Cube B. Rectangular prism C. Pyramid D. Cone

9. The unit for surface area is _____.
A. Cubic unit B. Linear unit C. Square unit D. Weight unit

10. A cone has a radius of 5 cm and slant height of 7.1 cm. What is the unit of measure appreciate for its surface area?
A. Square milimiter (mm2) B. Square centimeter (cm2) C. Square decimeter (dm2) D. Square meter (m2)​

Answers

Answer:

A

B

A

C

D

C

A

B

B

D

Step-by-step explanation:

12,-24, 48, -96,
determine the next term for each sequence

Answers

So basically, 12 times -2 gives us -24, and 48 times -2 gives us -96, so to find the next numbers would be the number times -2, I think a possible number for this could be 192, followed by -384, but that’s just a wild guess.

0=x^2-8x-32 solve by completing the square

Answers

Answer:

x = 4.65 or x = -0.65 (to 2 d.p)

Step-by-step explanation:

To complete the square, use the formula x² + bx + c = (x + b/2)² - (b/2)² + c

In this case, x² - 8x - 32 = (x - 4)² - 16 - 32This simplifies to (x - 4)² - 48 = 0

To solve this:

First, add 48 to both sides → (x - 4)² = 48Next, square root both sides → x - 4 = ± √48 (remember that the square root of a number always has a positive and negative value)Finally, add 4 to both sides → x = 4 ± √7

x has 2 solutions

x = 2 + √7 or x = 2 - √7

x = 4.65 or x = -0.65 (to 2 d.p)

Hope this helps!

Answer:

x = 4 ± 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

x² - 8x - 32 = 0 ( add 32 to both sides )

x² - 8x = 32

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 32 + 16

(x - 4)² = 48 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{48}[/tex] = ± 4[tex]\sqrt{3}[/tex] ( add 4 to both sides )

x = 4 ± 4[tex]\sqrt{3}[/tex]

Imagine the center of the singapore flyer is located at (0, 0) on a coordinate grid, and the radius lies on the x-axis. Write an equation of a circle for your Ferris wheel, and sketch an image of what your Ferris wheel would look like on the grid. Now graph a circle that is similar to the Ferris Wheel. Discuss the transformations needed to show that both circles on your graph are similar

Answers

The equation of the Ferris wheel is x² + y² = 25, and the transformation that shows that the circles are similar is the dilation transformation

How to determine the equation of the Ferris wheel?

From the question, we have the following parameters:

Center (a,b) = (0,0)Radius, r = 5

The equation of a circle is represented as:

(x - a)² + (y - b)² = r²

So, we have:

(x - 0)² + (y - 0)² = 5²

Evaluate

x² + y² = 25

Hence, the equation of the Ferris wheel is x² + y² = 25

See attachment for the image of the Ferris wheel

Transformation to a similar circle

Assume that the similar circle has the following parameters:

Center (a,b) = (0,0)Radius, r = 10

The equation of the circle would be:

(x - 0)² + (y - 0)² = 10²

Evaluate

x² + y² = 100

Since both circles have the same center, the transformation that shows that they are similar is the dilation transformation

Read more about circle equations at:

https://brainly.com/question/1559324

help please, I need it fast

Answers

Answer:

(d) 1 / 2^8

this is the answer

both equations answers are kind of same, so (d) is the answer for your question

if this helped you please brainliest?

Answer:

A

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{2^{-3} }{2^{-5} }[/tex] = [tex]2^{-3-(-5)}[/tex] = [tex]2^{(-3+5)}[/tex] = 2² → A

Hi can someone plss help me with these 2 questions. Im really struggling with them.

Answers

Trees are important to one's health as they produce oxygen and reduce climate change. Also, bees pollinate our crops leading to more crop production and increase in revenue.

What is health?

It should be noted that health simply means the state of being free from illness or diseases.

In this case, trees are important for one's health as they help in the production of oxygen which are needed by human beings. Bees are also important for the generation of higher profits though the pollination of crops which leads to increase in crop production.

Learn more about health on:

https://brainly.com/question/5496881

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