The coordinates of the endpoints of the diameter of a circle are (3,7) and (-5,3). Find the coordinates of the center of the circle

Answers

Answer 1

Answer:

[tex](-1,5)[/tex]

Step-by-step explanation:

The definition of the diameter indicates it passes through the center of the circle to be called diameter. Therefore finding the midpoint of the line that is the diameter we will find the center of the circle.

To find the coordinates of this midpoint we must make an average of the 'x' values of the two given points, and also an average of the two given 'y' values.

the coordines of this midpoint will be [tex](x_{m},y_{m})[/tex] where [tex]x_{m}[/tex] is the average of the 'x' values, and [tex]y_{m}[/tex] is the average of the 'y' values

The points we have are:

[tex](3,7)[/tex]

where I will call the coordinates: [tex]x_{1}=3[/tex] and [tex]y_{1}=7[/tex]

[tex](-5,3)[/tex]

where I will call the coordinates: [tex]x_{2}=-5[/tex] and [tex]y_{2}=3[/tex]

the average of the 'x' values is:

[tex]x_{m}=\frac{x_{1}+x_{2}}{2}[/tex]

substituting the values:

[tex]x_{m}=\frac{3+(-5)}{2}\\ \\x_{m}=\frac{3-5}{2}\\ \\x_{m}=\frac{-2}{2}\\ \\x_{m}=-1[/tex]

the average of the 'y' values is:

[tex]y_{m}=\frac{y_{1}+y_{2}}{2}\\[/tex]

substituting the values:

[tex]y_{m}=\frac{7+3}{2}\\ \\y_{m}=\frac{10}{2}\\ \\y_{m}=5[/tex]

and the center of the circle (the midpoint of the diameter) is at:

[tex](x_{m},y_{m})[/tex]

which is

[tex](-1,5)[/tex]


Related Questions

Which function is the inverse of function f?
f(x)=9x^2–12

Answers

Answer: D

Step-by-step explanation:

If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.

x = 9y^2-12.

Then you solve for y.

x = 9y^2-12.

x+12=9y^2

y^2=(x+12)/9

y=sqrt((x+12)/9)

y=sqrt((x+12))/3 which is D

PLEASE HURRYYYYYYYYYYYYYY 20 POINTS!!!!!!!

Which statements describe the end behavior of the graph of the function shown?
Check all that apply.

(1)As x → ∞, y → 1.
(2)As x → ∞, y → ∞.
(3)As x → ∞, y → –∞.
(4)As x → –∞, y → 1.
(5)As x → –∞, y → ∞.
(6)As x → –∞, y → –∞.

Answers

Answer:

it is c i took one for the boys

Step-by-step explanation:

Answer:

6 2

Step-by-step explanation:

When writing a linear equation in standard form, what other forms might you need to use?

Answers

Answer:

there are 2 other forms, point-slope form and slope-intercept form.

Step-by-step explanation:

standard is [tex]Ax + By =C[/tex]

point-slope is [tex]y-y_{1} =m(x-x_{1})[/tex]

slope-intercept is [tex]y=mx+b[/tex]

AnswerThere are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article. There are three main forms of linear equations.

Based on the table, which best predicts the end behavior
of the graph of f(x)?
ООО
As x + f(x)
As x, f(x)
As x, f(x)
As x + f(x)
+ , and as x → --, f(x) .
→, and as x + --, f(x) --00
→-00, and as x→-00, f(x) →
→--, and as x →--, f(x) →-00
00
a

Answers

Answer:

Third option.

Step-by-step explanation:

In the picture attached, the question is shown. There we can see that as x gets bigger (x → ∞), f(x) gets smaller (f(x) → -∞ ). On the other hand, as x gets smaller (x → -∞), f(x) gets bigger (f(x) → ∞ ).

Answer:

2

Step-by-step explanation:

give me brainliest

* BRAINLIEST ANSWER SOLVE AND CHECK, PLEASE SHOW WORK THANKS A. 4-3x=22 B. 2( + 4) = 3 + 8 C. 2/3x + 5/6 = 1

Answers

[tex]4-3x=22[/tex]

[tex]-3x=22-4[/tex]

[tex]-3x=18[/tex]

[tex]x=18/-3[/tex]

[tex]x=-6[/tex]

[tex]2( x + 4) = 3 + 8[/tex]

[tex]2x+8=11[/tex]

[tex]2x=11-8[/tex]

[tex]x=3/2[/tex]

[tex]2/3x + 5/6 = 1[/tex]

[tex]2/3x=1-5/6[/tex]

[tex]2/3x=1/6[/tex]

[tex]12x=3[/tex]

[tex]x=3/12[/tex]

[tex]x=1/4[/tex]

1. If you’re good at geometry could you please help me?

Answers

Answer:

54.67mi

Step-by-step explanation:

so the ? equals to

?^2 = 42^2 + 35^2

-> ? = 54.67mi

help me please asap n\like now

Answers

Answer:

46 square inches

Step-by-step explanation:

46 square inches should be your answer

If you're good at hyperbolas, pleas help meeeee

find the equations of the following hyperbola, using the asymptote, y (or x intercept) (if they exist), you find from the graph

Answers

Answer:

ctp bphybhyp vhpi h ipv p

Step-by-step explanation:

Answer:

A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).

A swimming pool is 22 feet long and 18 feet wide. How many feet of fencing are needed to enclose the pool

Answers

Answer:

80 feet

Step-by-step explanation:

length of pool = 22    ,  width of pool = 18

feet required for fencing the pool = 2 (l +b)

= 2 ( 22+18)

=2*40

=80feet

Answer:

Step-by-step explanation:

The pool is a rectangle as length and breadth are different.

Since they are asking about fencing you need to find the perimeter.

Length=22feet

Breadth=18feet

Perimeter of a rectangle = 2(l+b)

= 2 × 22 + 2×18

=44+36

=80 feet

Solve for I.
V = IR
What is I equal to?​

Answers

Answer:

I=V/R

Step-by-step explanation:

In this equation, we see that there are no numerical values so we can't exactly solve for the exact number. Because of this, all you do Is isolate the variable "I" by itself. To do this, divide R on both sides. This way, you isolate I and on the other side you get V/R that cannot be further simplified.

Answer:

I=V/R

Step-by-step explanation:

V=IR

Divide both sides by R to isolate I

V/R=I

What type of tax is generally determined by the individual taxpayer?

Answers

Answer:

I believe that it is income tax.

Step-by-step explanation:

Hi there !

The answer would be income tax

Hope this helps !

NEED HELP ASAP!!!!
Click an item in the list or group of pictures at the bottom of the problem and holding the button down, drag it into the
correct position in the answer box Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan click the trashcan to clear all your answers
Find the missing part
3=&w=2=2
Find the diagonale of the base.

Answers

Answer: 8.94

Step-by-step explanation:

By common logic, you can say that l=8, w=4 and h=2.

The diagonal of the base can be found by using Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

Since we know the a and b of the base, we can find c, the diagonal.

a and b is the l and w. We can use the equation to find c.

8²+4²=c²

64+16=c²

80=c²

c=√80

c≈8.94

The diagonal is approximately 8.94


The library made a table to track the number of fiction and nonfiction books checked out for 6 days.
On the first day, 18 fiction books are checked out, and 12 nonfiction books are checked out.
Each day after 18 fiction books are checked out, and 12 nonfiction books are checked out.
Drag the numbers from the box to complete the table.
Numbers may be used once, more than once, or not at all.

Answers

Step-by-step explanation:

6 days+12 days=18

so 18 fiction books+12 non fiction=20 fiction and 10 non fiction

PICTURE ONE IS FOR THESE BELOW
What is the value of ∠DOB in the following figure?
The measure of an angle is 89°. Find the measure of its supplement.
------------------------------------------------------------------------------------------------------------
Determine if triangles can be formed with the following side lengths:

1.) 4 cm, 7 cm, 10 cm


2.) 24 mm, 20 mm, 30 mm

Answers

Answer:

1: n=17

2: x=24 w=37

Step-by-step explanation:

1st picture: 180-108=72/2=34/2=17=n

2nd Picture: 90+19= 109

109+x+w=180

138+90=228

270-228=52

138+52+90+19=299

360-299=61

x=24 w= 37

PLS HURRY IM BEING TIMED! Which expression represents a number that is 5 times the difference of 6 and 12?

Answers

Answer:

x = 5(12-6) = 30

Step-by-step explanation:

The difference of 6 and 12 = 12-6 = 6

6 x 5 = 30

What is the equation of the line that passes through (0, 3) and (7,0)?
y-ix-3
3
y=x+3
3
y y=-7x+3
y=-x-3

Answers

Answer:

The equation of the line in slope-intercept form is:

[tex]y=-\frac{3}{7} x+3\\[/tex]

In one of the many possible standard forms:

[tex]3\,x+7\,y=21[/tex]

Step-by-step explanation:

First calculate the slope of the segment that joins these two points: (0, 3) and (7,0):

[tex]slope=\frac{y_2-y_1}{x_2-x_1}= \frac{0-3}{7-0}=-\frac{3}{7}[/tex]

Now, knowing that the y-intercept is (0, 3) [point on the y-axis (for x=0) where the line crosses], Then the equation of the line in slope-intercept form is:

[tex]y=m\,x+b\\y=-\frac{3}{7} x+3[/tex]

And now, if you want to write the equation eliminating fractions, we can multiply both sides by "7":

[tex]y=-\frac{3}{7} x+3\\7\,y=-3\,x+21\\3\,x+7\,y=21[/tex]

Mrs. Harrison made some muffins.
.
• 9 blueberry muffins
3 cranberry muffins
• 18 chocolate chip muffins
• 12 banana muffins
Which statement is correct?
A
For every cranberry muffin, there are six banana muffins.
B.
For every cranberry muffin, there are three banana muffins.

C.
For every blueberry muffin, there are two chocolate chip muffins.

Answers

Answer:

C. For every blueberry muffin, there are two chocolate chip muffins

Step-by-step explanation:

Blueberry : Chocolate

1 : 2

x9

9 : 18

Plz make me brainliest

C! because if you divide 18 by 9 you get 2 - the other two don’t work because 12 divided by 3 is 4 (not 6 or 3)

What does the number line above represent?

Answers

Answer:

x ≤5

Step-by-step explanation:

There is a closed circle at 5 so that means equals

The line goes to the left so that means less than

x ≤5

Answer:

C

Step-by-step explanation:

Since the circle is close, we can assume it has to be C or D. But if we want to find out, we think of x as let's say 4. 4 is less than 5, and numbers 5 or less is x, so the answer would be C. (hope it helps)

A farmer planted corn in a square field one side of the field measures 38 yards what is the area of the cornfield

Answers

Answer:

1,444 square yards

Step-by-step explanation:

38x38=1,444

If this side length is 38 and the field is a square then the lengths would be 38 yards all the way around. Area=LxW

Answer:

A =1444 yd^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

A = 38^2

A =1444 yd^2

What two numbers... add to 6 and multiply to -27?

Answers

Answer:

Hello There. Here is Explanation How to get the answer.

Explanation:  x + y = -6 �> x = -6-y

xy = 8

(-6-y)y = 8

-6y - y^2 = 8

y^2+6y+8 = 0

(y+2)(y+4) = 0

Hope It Helps! .ω.

Answer:

The factors of 27 is 1,27 and 3,9

9-3=6 so if 3 was negative they would add up to 6

9+-3=6

9 x -3 = -27

Hope this helps

Step-by-step explanation:

*ANSWER ASAP* What is the measure of angle R?

Answers

Answer:

the angle is 52 degrees

Step-by-step explanation:

this is because the two angles within the triangle with R in have a combined angle of 128 degrees. we know that a triangle has 180 degrees.

therefore 180-128=52 degrees

please help! ill mark you as brainleist if you get it correct!​

Answers

Answer:

The median of Jeff's golf scores was less than the median of Dalton's golf scores.

Step-by-step explanation:

The median of jeffs score was less then daltonssss mark me as brainliest pls

what is the slope of the line that contains the points (-2,8) and (-2,1)

Answers

Answer:

0

Step-by-step explanation:

because -2 does not change

Answer:

Undefined

Step-by-step explanation:

To find the slope, you need the formula, y₂-y₁ divided by x₂-x₁.

That is 1-8 divided by -2-(-2), or -7 divided by 0.

Anything divided by 0 is undefined, so the answer is undefined.

Edit:  I might be wrong, IDK.

Based on your answer to the previous question, what is the main conflict?
A.) Convincing Uncle Bright Star to help with the airplane

B.) Losing the airplane without ever flying it

C.) Working together to get the airplane up the steep hill

D.) Setting a rhythm to pull the airplane

Answers

Answer:

B.) losing the airplane without ever flying it

Step-by-step explanation:

PLEASE MATH HELP 20 points PLEASE!!!!

Answers

Y = 18( 0.58) ^t

It would be written as :
Y = 18(0.11) ^ (t/4)
Y = 18 (0.11 ^ (1/4)) ^ t
But
0.11 ^ (1/4) = 0.5759

Plug the value

Y = 18 (0.5759) ^ t

Two decimal point :

Y = 18 (0.58) ^ t

There are 20 socks in your drawer, and 12 of them are white. You grab a
sock without looking. Then you grab a second sock without putting the
first one back. What is the probability that both socks are white?

Answers

Answer:

4/20

Step-by-step explanation:

8 socks we don't know

1 sock 19 socks

11 white

1 more sock 7 /20 chance to pick a random sock

Answer:

3:5

Step-by-step explanation:

20s :12ws

split the numbers in half then divide each number by 2 untill u cant any more

help help me please asap

Answers

Answer:

62 centimeters

Step-by-step explanation:

2*3*2+3*5*2+2*5*2=62

62 Centimeters should be your answer

pls helpsfsfsfsfsfsfsfsfsfsfssffsfsfsfsfsfsfsfsf

Answers

Answer:

-50/6 or -25/3

Step-by-step explanation:

to isolate x, you multiply -5/2 to each side.

10/3 * -5/2

when you simplify you get

-25/3

Answer:

X = -25/3

hope you find it useful!!

Can someone help me find the slope , y-intercept ,and equation pls help it’s my finals

Answers

Answer:

slope: -3

y-intercept: -5

equation: y = -3x - 5

Step-by-step explanation:

The formula for slope is:

(y2 - y1)/(x2 - x1)

Let's use these coordinates:

(-1, -2)

(0, -5)

x1 = -1

x2 = 0

y1 = -2

y2 = -5

Substitute into the formula:

(y2 - y1)/(x2 - x1)

(-5 + 2)/(0 + 1)

Solve:

(-5 + 2)/(0 + 1)

-3/1

= -3

slope = -3

The y-intercept is when the x coordinate is 0.

Looking at the table, we see the coordinate (0, -5).

The y-coordinate is -5.

This means that the y-intercept is -5

y-intercept = -5

Slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept

m = -3

b = -5

Substitute:

y = mx + b

y = -3x - 5

Please help me I dont want to fail...again this is my last hope. plz help:(

Answers

Do you still need help?

Answer:

Step-by-step explanation:

A) Cost of canvas = $ x

Cost of  4 canvases = 4 *x = 4x

Money left over after buying 4 canvases = $2.20

Equation:  25 - 4x = 2.2

Solution:     Subtract 25 from both sides

                -4x = 2.2 - 25

               -4x = - 22.8

Divide both sides by (-4)

    -4x/-4 = -22.8/-4

              x =  5.7

B) Money in Molly's account= x

4 times of Molly's account  = 4x

Equation: 4x - 2.2 = 25

Solution:   4x = 25 +2.2

                  4x = 27.2

                    x = 27.2/4

                   x = 6.8

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