A circle in the standard (x,y) coordinate plane has
center C(−1,2) and passes through A(2,6). Line
segment AB
___ is a diameter of this circle. What are the
coordinates of point B ?

Answers

Answer 1

Given:

Center of a circle is at point C(-1,2).

AB is the diameter of the circle.

Coordinates of the point A are A(2,6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

If AB is the diameter of the circle, then A and B are end points of diameter of the circle and the center C is the midpoint of AB.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Point C = Midpoint of AB

[tex](-1,2)=\left(\dfrac{2+a}{2},\dfrac{6+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{2+a}{2}=-1[/tex]

[tex]2+a=-1\times 2[/tex]

[tex]a=-2-2[/tex]

[tex]a=-4[/tex]

Similarly,

[tex]\dfrac{6+b}{2}=2[/tex]

[tex]6+b=2\times 2[/tex]

[tex]b=4-6[/tex]

[tex]b=-2[/tex]

Therefore, the coordinates of point B are (-4,-2).


Related Questions

Please help with this!

Answers

Answer:

pls help me tooo answer that

solve for q: plz help

Answers

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

A student said that a pair of complementary angles cannot also be adjacents. Is the student correct?

Answers

Answer:

No

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90 degrees. They may or may not be adjacent.

There can be two adjacent angles inside a 90-degree angle, so therefore, there can be complementary adjacent angles.

The student is not correct.

Find the segment of the line segment

Answers

Answer:

(1,3)

Hope this helps! :)

The midpoint is (1,3)
The slope is 2/8, divide that by 2, 1/4. so to find the midpoint, go to the left point, move one up, 4 right. Or from the right point, move one down, 4 left.

The length of the diameter of a sphere is 8 inches. The volume of the sphere is
_______. ​the surface area of the sphere

A. equal to
B. less than
C. greater than

Answers

I’m pretty sure the answer is A - equal to

A rectangular balcony has an area of 28 square meters. Its perimeter is 22 meters. What are the
dimensions of the balcony?
A) 7 meters by 4 meters
B) 14 meters by 2 meters
C) 11 meters by 2 meters
D) 10 meters by 1 meter

Answers

ANSWER: A) 7 meters by 4 meters
EXPLANATION:
We know that the area of the rectangular balcony is 28 square meters, so lets check if our dimensions match the area:

7 meters • 4 meters = 28 square meters (correct)

So lets check the perimeter: 2 (l + w)
2 ( 7 + 4 ) = 22 meters

HOPE THIS HELPS
-SpaceMarsh

Help plsss 10 points

Answers

the answer is 3.....

Evaluate 5(x-1)-2when x=3

Answers

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

5(x-1)-2
5(3-1)-2
5(2)-2
10-2
8

PLEASE HELP I NEED IT REALLY FAST!!!!

Answers

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

A plumber charges $30.00 per call plus $25.00 per hour. If a certain repair cost $80.00, how long does it take?

Answers

Answer:

2 hours

Step-by-step explanation:

Y=25x+30

80=25x+30

50=25x

2=x

There are 24 men in a room
¼ of the men are wearing red shirts
½ of the men are wearing green shirts
The remaining men are wearing blue shirts
Workout the number of men that are wearing blue shirts​

Answers

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Which equation represents a line which is parallel to the line 7y-4x=-14

Answers

Answer:

sympathise or strategies

1. Select all sets of measurements that could identify the length, width, and diagonal of a rectangle,
respectively.
A. 5 feet, 7 feet, 8 feet
B. 6 feet, 7 feet, 12 feet
C. 8 feet, 9 feet, 10 feet
D. 9 feet, 12 feet, 15 feet
E. 7 feet, 10 feet, 13 feet
F. 1.5 feet, 2 feet, 2.5 feet

Answers

Answer: TRY E

IF WRONG TRY E, D, F

Step-by-step explanation:

Write the explicit formula for the sequence below and use it to find the 47th term:
-3, 5, 13, 21, . . .

Answers

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

Find the measure of KL

A. 10
B. 5
C. 7
D. 8

Answers

Answer:

[tex]ML=9,MN=8[/tex]

[tex]MK=ML+LK[/tex]

[tex]9+-3+x[/tex]

[tex]=9-3+x[/tex]

[tex]MK=6+x[/tex]

[tex]ME=MN+NE[/tex]

[tex]ME=8+x[/tex]

Now using Secant secant theorem:-

[tex]ML*MK=MN*ME[/tex]

[tex]9(6+x)=8(8+x)[/tex]

[tex]54+9x=64+8x[/tex]

Subtracting 8x and 54 on both sides:-

[tex]54+9x-8x-54=64+8x-8x-54[/tex]

[tex]x=10[/tex]

[tex]KL=-3+x[/tex]

[tex]KL=-3+10[/tex]

[tex]KL=7[/tex]

so, your answer is C) 7

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

hope it helps....

Answer:

C.) 7

Step-by-step explanation:

I got it correct on founders edtell

Candace complete a 3.1 mile run in 22 1/2 minutes. At that pace, what is her unit rate, in minutes per mile? Round your answer to the nearest tenth.

Answers

3.1 x 22 1/2 = 69.75 rounded is 70

11..

Solve the equation using the zero-product property.

-n(5n-4)=0


A. n= -1 or n= 4/5


B. n= 0 or n= -4/5


C. n= -1 or n= -4/5


D. n= 0 or n= 4/5

Answers

Answer:

D. n= 0 or n= 4/5

Step-by-step explanation:

Factor and set each factor equal to zero.

n

=

0

,

4

5

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

n

=

0

,

4

5

Decimal Form:

n

=

0

,

0.8

{x+2y=10
{6y=-3x+30
Help please

Answers

Answer:

Step-by-step explanation:

x+2y=10

6y=-3x+30

~~~~~~~~~~~~~~~~

x =10 -2y

substitution

6y=-3x+30

6y=-3(10 -2y)+30

6y = -30 + 6y + 30

6y = 6y

everything disappears.... that means the lines are "the same line"

"co-incident" ... "infinite solutions"

Note" if you ended up with something like 3=0 then the lines are parallel

[tex](5^{3})^{-3}[/tex] pls

Answers

[tex] \frac{1}{1953125} [/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( { {5}^{3} })^{ - 3} \\ \\ which\:means \:that \: {5}^{3}\: is \:multiplied \:thrice\: with\: itself\\ \\ = {5}^{3 \times - 3} \\ \\ = {5}^{ - 9} \\ \\= \frac{1}{ {5}^{9} } \\ \\ = \frac{1}{5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ \\ = \frac{1}{1953125} [/tex]

Note:-

[tex]( { {a}^{m} })^{n} = {a}^{m \times n} [/tex]

[tex]{a}^{ - m} = \frac{1}{ {a}^{m} }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

a. 135
b. 120
c. 144
d. 108

Answers

Answer:

a. 135 is the correct answer

Step-by-step explanation:

Want to find out what the total degrees is of the octagon.

Octagon = 1080

Divide 1080 by 8

135 degrees per angle

Answer:

Option A is correct

Step-by-step explanation:

Hint :

Sum of angles in Regular Octagon = 1080°.

Simplify :

[tex] {z}^{o} = \frac{1080}{8} [/tex]

[tex]∴z = 135[/tex]

Hope it is helpful....

What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT​

Answers

Answer:

y =< 6x + 3

you copypasta looks weird, but I would go for option c if i read this correctly

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K (2,5)
K'(-2,-5)
K (2,-5)

Answers

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

the answer is K'(-2,-5) if it is rotated 90 clockwise, but if it's anti-clockwise it will be K'(5,2)

add 4312base5 3444base5 qunary number please add qunary​

Answers

9514 1404 393

Answer:

  13311₅

Step-by-step explanation:

Each column gets the sum mod 5, with a carry to the next column of the quotient of the sum and 5. For example, in the units column, 2+4 = 11₅, so 1 is written in the units column as the sum, and 1 is carried to the 5s column (next one to the left).

Continuing in this fashion gives the sum 13311₅.

__

If you recognize that 3444₅ = 4000₅ -1, you can subtract 1 from 4312₅ and add 4 in the 5³ place (4th column from the right). That gives you ...

  4311₅ +4000₅ = 13311₅

_____

The base-5 addition table is attached.

I really need help ill love you forever if you help me thank you so much ​

Answers

Answer:

x = 13

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

30 = 1/2 (5x-5)

Multiply each side by 2

2*30 = 2* 1/2 ( 5x-5)

60 = 5x-5

Add 5 to each side

60+5 = 5x-5+5

65 = 5x

Divide each side by 5

65/5 = 5x/5

13 = x

What is the volume of the rectangular prism?

Answers

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. Ex: V = 5 in.

3. f(-4) - 3.9(-2) =

Answers

Answer:

Step-by-step explanation:

Please helpppppp 7th grade math

Answers

Answer:

A    1 cup

Step-by-step explanation:

Number of batches

24/6 = 4

Cups needed

1/4 * 4 = 1

Answer: A 1 cup. Hope this helps

damian already has 23 plants in the backyard, and he can also grown 2 plants with every seed packet he uses With 36 seed packets, how many total plants can Damian have in the backyard​

Answers

131 I think?


If he gets 2 plants per seed packet you should just have to multiply 36 x 3 (108) and then add 23 which is what he already has.

Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?

Answers

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

Answer:  78 grams

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

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

Please give me the answer and show me how you solved it

Answers

Answer:

11/2 miles per hour

Step-by-step explanation:

that is the procedure above

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