The endpoints of a diameter of a circle are ( 3 , 9 ) and ( 3 , - 3 ). Find the equation of the circle.

Answers

Answer 1

Answer:

Step-by-step explanation:

distance between ( 3 , 9 ) and ( 3 , - 3 ) = 9 - (-3) = 12 because x is the same for both pts

12 is the diameter of circle so its radius = 12/2 = 6

center is in the middle: ( 3 , (9-3)/2 ) = ( 3, 3 )

so the circle's eqn is

( x - 3 )^2 + ( y - 3 )^2 = 6^2


Related Questions

AXYZ has vertices X(-4,2), Y(4.2), and Z(0, - 1). Is AXYZ scalene, isosceles, or equilateral?
Is AXYZ scalene, isosceles, or equilateral?

Answers

Answer:

Isosceles triangle.

Step-by-step explanation:

In order to determine the nature of the triangle, we will need to get the sides XY, XZ and YZ using the distance formula;

For XY;

X(-4,2), Y(4.2)

XY = √(2-2)²(4-(-4)²)

XY = √(4+4)²

XY = √8²

XY = 8

For XZ;

X(-4,2), Z(0, - 1)

XZ = √(-1-2)²(0-(-4))²

XZ = √(-3)²+4²

XZ = √9+16

XZ = √25

XZ = 5

For XZ;

Y(4.2), Z(0, - 1)

YZ = √(-1-2)²(0-(4))²

YZ = √(-3)²+(-4)²

YZ = √9+16

YZ = √25

YZ = 5

Since XZ = YZ = 5, this shows that two sides are equal. Hence the triangle is an isosceles triangle.

NB: Isosceles triangle only have two of its sides and angles equal

Work out 0.5 + 1.1 x 1.6

Answers

Answer:

=2.26

Step-by-step explanation:

0.5+1.1x1.6

multiply first (pemdas)

0.5+1.76

add

=2.26

i hope this helps :)

Answer:

0.5 + 1.1 x 1.6 = 2.26

Step-by-step explanation:

check it in a calculator so it's correct

Find the missing height

Answers

Answer:

first one

Step-by-step explanation:

x = A 21.6 B 12.9 C 9.1

Answers

Answer:

B: 12.9

Step-by-step explanation:

If A B and C are the alternatives, the answer is B: 12.9

The reason is that the hypotenuse can't be smaller than one of its sides, that eliminates alternative C.

And also, the hypotenuse can't be bigger than segments AC + BC, since the side AC is bigger and AC measures 10.8, the hypotenuse would have to measure < 21.6

Any questions, comment.

Answer:

B

Step-by-step explanation:

Using the sine ratio in the right triangle

sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin57° = 12 ( divide both sides by sin57° )

x = [tex]\frac{12}{sin57}[/tex] ≈ 12.9 ( to 1 dec. place ) → B

A cross section of a rectangular pyramid is made perpendicular to the base and through the vertex as shown. What is the area of the cross section?

Answers

Answer:

20 cm²

Step-by-step explanation:

1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write a formula for the given measure. Let P represent the perimeter in inches, and w represent the width in inches. Identify which variable depends on which in the formula.

Answers

Complete Question:

Write a formula for the given measure. Let P represent the perimeter in inches, and w

represent the width in inches. Identify which variable depends on which in the formula.

*The perimeter of a rectangle with a length of 5 inches

Answer:

P = 2(5 + w)

Or

P = 20 + 2w

P is the dependent variable

w is the independent variable

P depends on w.

Step-by-step explanation:

Given:

Perimeter of rectangle = P

Width of the rectangle = w

Length of the rectangle = l = 5 in.

Formula for perimeter of a rectangle = 2(length + width)

Plug in the values. Formula for the given measure would be:

P = 2(5 + w)

Or

P = 20 + 2w

P is the independent variable, while w is the dependent variable.

This is because the Perimeter (P) of the rectangle is dependent on the width (w). Whatever value of w we get would determine the value of P were would get. Therefore,

P depends on w.

Find the answers to the following:

A. What is slope-intercept form of
an equation?


B. What is the slope of a line?


C. What is the formula for slope?


D. What is the rate of change of
a line?


E. What is the y-intercept of
a line?


F. What is the x-intercept of
a line?


G. What is the point slope formula?


H. What does HOY stand for?


I. What does VUX stand for?


J. If two lines are parallel, what does this mean?


K. If you are told that two lines are perpendicular, what does this mean?


L. What are the similarities between parallel lines?


M. What is the relationship between two lines that are perpendicular?

Answers

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

M)The relationship between two lines that are perpendicular intersect at right angles. they are coplanar lines

Sam has a rectangular rug with an area of 50 square feet . The rug is 5 feet longer than it is wide.

What is the width of the rug?

Answers

Answer:

4 feet

Step-by-step explanation:

that's the right answer

There are 8 red, 5 yellow, and 7 green cubes in a box. What is the probability of drawing a yellow cube and then a green cube, if the first cube is not replaced before the second cube is drawn? *

A)1/2
B)1/4
C)7/80
D)7/76

Will give extra points and brainlist

Answers

Answer:

D) 7/76

Step-by-step explanation:

There are 20 cubes in total

So our first drawing of a yellow cube is 5/20.

Our second drawing of a green cube is 7/19.

We then multiply these fractions together to get our probability.

(5/20) * (7/19) = 0.09210526315 or 7/76ths

Our answer is D

May someone help me with this :)

Answers

Answer:

x=120

Step-by-step explanation:

its an obtuse angle


Please help I can not find the answer

Answers

Answer: Its D. 10

Step-by-step explanation:

i will suggest u using something called photo math its a phone app it helps me lot

Find the circumference and area of each circle. Include the formula thank you

Answers

Circumference=16 pi
Area=64 pi
Below is my methods

Answer:

Circumference: 50.27 cm

Area: 201.06 cm²

Step-by-step explanation:

Hi there!

1) Determine the circumference

[tex]C=\pi d[/tex] where d is the diameter of the circle

Plug in the diameter (16 cm)

[tex]C=16\pi\\C=50.27[/tex]

Therefore, the circumference is 50.27 cm when rounded to the nearest hundredth.

2) Determine the area

[tex]A=\pi r^2[/tex] where r is the radius

Plug in the radius (16/2=8)

[tex]A=\pi (8)^2\\A=64\pi\\A=201.06[/tex]

Therefore, the area of the circle is 201.06 cm² when rounded to the nearest hundredth.

I hope this helps!

What is the median for 46 47 52 55 64 69 70 78

Answers

59.5. You add the two middle together, and divide by two. Hope this helps:)

The school store sells spiral notebooks in four colors and three different sizes. The table shows the sales
by size and color for 407 notebooks. What is the experimental probability that the next customer buys a
red notebook with 150 pages? Enter your answer as a simplified fraction.
100 Pages
150 Pages
200 Pages
Red
59
65
Green
34
49
17
Blue
27
55
25
Yellow
13
21
15
27
The experimental probability is

Answers

Answer:

3/20

Step-by-step explanation:

Jeannie wants to buy her llama a sweater for $32. It's on sale for 20% off. Sales tax is 6.75%. What is the final cost?

Answers

Answer: Your total payment: $27.33

How much you saved: $6.83

The tax: $1.73

Step-by-step explanation:

6m 10m what is the area of the shaded triangle

Answers

Answer:

6 x 10 = 60, 60 divided by 2 ( x 1/2 ) = 30

Step-by-step explanation:

Formula area of a triangle:

B(base)H(height) x 1/2

In this case 10 is your base and 6 is your height.

The area of the shade triangle is 30m².

Area of a triangle

By convention, the area of a triangle is given as;

Area = (1/2) × base × height

Hence, Area, A of the shaded triangle is;

A = (1/2) × 10 × 6

A = 30m².

Read more on area of a triangle;

https://brainly.com/question/23945265

There are 140 milligrams of caffeine in a
12-ounce cup of coffee. How many
milligrams of caffeine are in 3 ounces of the
same coffee?

Answers

Answer:

35 milligrams

Step-by-step explanation:

To get from 12 ounces to 3 ounces, you need to divide by 4.

Do the same with 140 milligrams and you get 140/4=35 milligrams.

Wich systems of equations would have NO solution?
(Answer with work for branliest)

Answers

for 1st

comparing value

3x+2=-3x-2

6x=-4

x=-4/6Have solution.

for 2nd.

y=-2x+10

y=-2x+10

both are equal So no solution.

3rd

y=-x+4

y=-x+4

both are equal So no solution

4th

3x+y=8

3x+y=9

both are equal So no solution

The price of a new car is $42,500 if the sales tax rate is 6% then how much sales tax is being charged?

Answers

Answer:$48230 that will be your answer

Step-by-step explanation:$42,500+65=$48230

Answer:

2550

Step-by-step explanation:

6% x 42500

[tex]\frac{6}{100}[/tex]x[tex]\frac{42500}{1}[/tex]=[tex]\frac{255000}{100}[/tex]=[tex]\frac{2550}{1}[/tex]=2550

2550 turns into 25.50

42500+ 25.50= 42525.50

Please mark brainliest

What are the roots of the equation x2
12x + 72 = 0 in simplest a + bi form?

Answers

Answer:

(x + -6)(x + -6) = -36

Step-by-step explanation:

Simplifying

x2 + -12x + 72 = 0

Reorder the terms:

72 + -12x + x2 = 0

Solving

72 + -12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-72' to each side of the equation.

72 + -12x + -72 + x2 = 0 + -72

Reorder the terms:

72 + -72 + -12x + x2 = 0 + -72

Combine like terms: 72 + -72 = 0

0 + -12x + x2 = 0 + -72

-12x + x2 = 0 + -72

Combine like terms: 0 + -72 = -72

-12x + x2 = -72

The x term is -12x.  Take half its coefficient (-6).

Square it (36) and add it to both sides.

Add '36' to each side of the equation.

-12x + 36 + x2 = -72 + 36

Reorder the terms:

36 + -12x + x2 = -72 + 36

Combine like terms: -72 + 36 = -36

36 + -12x + x2 = -36

Factor a perfect square on the left side:

(x + -6)(x + -6) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.

MARK BRAINLIEST PLSSS

11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
than the height, as shown in the diagram below.

L= h +4 and H = h


A. Write a polynomial expression, in simplified form, that represents the area of the
canvas.

Keng adds a 3-inch-wide frame around all sides of his canvas.

B. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame.

Answers

Part A

Answer:  h^2 + 4h

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

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

Part B

Answer:  h^2 + 16h + 60

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

What is an area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,

w = h+4, height = h

Area = (length)x(height)

area = (h+4)x(h)

area = h(h+4)

area = h² + 4h

With the frame,

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Keng added a 3-inch-wide frame around the painting,

Therefore,

The h+4 will become h+4+3+3 = h+10

Similarly, along the vertical side = h+3+3 = h+6

Area = (h+10)(h+6) = h²+16h+60

Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ2

4 1/2 ft
2 ft
5 1/2 ft 3 1/2 ft the diagram above depicts a
conference room table. If the table
top is being painted, then what is a
reasonable estimate for the number
of square feet?

Answers

Answer:

4 1/2 ft

Step-by-step explanation:

.

Which multiplication expression represents the model

Answers

Answer:

I believed it is the last one

Step-by-step explanation:

The ratio 2.5 metres to 70 centimetres can be written in the form 1 :n

Find the value of n

Answers

Answer:

n = 28.

Step-by-step explanation:

70 divided by 2.5 is 28

please help mee!!!lol

Answers

Answer:

X represents the number of product so 3 cause you have 2 pastas and 1 cheese. The length represents the total cost. I think 3 would represent cost? I'm not totally sure on that one. Hope this helps!

Step-by-step explanation:



l = [?] ft
9 ft
4ft
PLEASE HELP MEMEMEMEME

Answers

It’s also 9ft it’s just the opposite

PLEASE HELP ME ASAP I REALLY NEED HELP!, THANK YOU

The volume of the cone is exactly ___ ​ cubic centimeters.

Answers

Answer:

3141.59 cm cubed

Step-by-step explanation:

The formula for volume of a cone is:

V=πr²h /3

When you plug in your numbers, you'll get your answer!

--------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

1000π cm³

Step-by-step explanation:

v = ⅓×π×10²×30

= 1000π cm³

or 3,140 cm³

which of the following is a Pythagorean triple?​

Answers

D is a pythagorean triple

Jamal is making 2 1/2 batches of pizza dough. One batch requires 4/8cups of flour. Jamal takes the following steps to calculate how much flour he will need.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

1/2

Lulu has raised 34 3 4 of the money she needs for a field trip. 12 1 2 of that money came from candy sales. What fraction of the total money needed for the field trip came from candy sales?

Answers

Answer:

3/8

Step-by-step explanation:

Lulu raised 3/4 of a money for field trip

1/2 of that money came from candy sales

The money that came from the candy sales can be calculated as follows

= 1/2 × 3/4

= 3/8

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