Mathematics High School

In the diagram below,AB is the diameter of the circle with centre P.Point C lies on the y-axis.Given the coordinates of A and B are (-6,3) and (2,-3) respectively ,calculate

a)the coordinates of P





b)radius of the circle





c)the coordinates of C





d)the area of the circle in term of
[tex]\pi[/tex]
​

In The Diagram Below,AB Is The Diameter Of The Circle With Centre P.Point C Lies On The Y-axis.Given

Answers

Answer 1

Answer:

The coordinates of P are (-2,0)

The radius of the circle is 5.

Step-by-step explanation:

Analytic geometry

The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.

a)

The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

Substituting x1=-6, x2=2, y1=3, y2=-3:

[tex]\displaystyle x_m=\frac{-6+2}{2}=\frac{-4}{2}=-2[/tex]

[tex]\displaystyle y_m=\frac{3-3}{2}=0[/tex]

Thus, the coordinates of P are (-2,0)

b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.

Given two points A(x1,y1) and P(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substituting x1=-6, x2=-2, y1=3, y2=0:

[tex]r=\sqrt{(-2+6)^2+(0-3)^2}[/tex]

[tex]r=\sqrt{4^2+(-3)^2}[/tex]

[tex]r=\sqrt{16+9}=\sqrt{25}=5[/tex]

The radius of the circle is 5.

Related Questions

The Statue of Liberty is about 300 feet tall and about 30 feet wide. The town of Unionville is building a smaller model for their Fourth of July celebration. Unionville's statue will be 3 feet wide. How tall should Unionville's statue be?

Answers

It’s dividing by a factor of 10. So 30 divided by 10=3. You then do the same thing for the height. 300 divided by 10=30. The answer is 30.

find the slope
A- 1/4
B- 1/3
C- 1/5
D- 2/3

Answers

Answer:

1/3

Step-by-step explanation:

if you move up 1 over three, the line intersects the graph

b. 1/3
i took the point (10,50) and (40,60) and you do (60-50)/(40-10)= 10/30= 1/3

Which expression is equivalent to
(X^1/2y^-1/4z)^-2

Answers

Answer:

y^1/2/xz^2

Step-by-step explanation:

Simplify the following expression: 2x − 2y + 5z − 2x − y + 3z

Answers

Answer:

-3y+8z

Step-by-step explanation:

Answer:2x - 2y + 8z

Step-by-step explanation:

What is that y intercept? Can someone please explain to me how to do this and how you got the answer.

Answers

The y axis is the line going up and down like it says, and where the line is on the y axis is where it intercepts so it intercepts at -6 which is your answer

Jake is comparing the price of 2 laundry service companies company a charges $20 per load in an additional $8 as service charges company B charges $24 per load and an additional $4 as survice charges

Answers

they’re both the same price
$20+$8=$28
$24+$4=$28

hope that helped

HELP MEEEEEEEEE PLEWSEEEEEEEEEE

Answers

Answer:

option B)

Step-by-step explanation:

a1/a2= 6/1

b1/b2 = 2/3

since a1/a2 is not equal to b1/b2,

lines have a unique solution

hence answer is option B)

An airplane 40,000 feet above the ground begins descending at a rate of 1,500 feet per minute. Write an equation to model the situtation.

Answers

Answer:

h(t) = 40,000 - 1,500t

Step-by-step explanation:

Let h(t) be the height of the airplane after t minutes.

h(t) = 40,000 - 1,500t

what does 3x^2+8x-10 equal?

Answers

Answer:

0.927

Step-by-step explanation:

just plug it in to a algebraric calculator!

The Answer would be:
0.927

PLEASE HELP, 10 POINTS IF YOU'RE RIGHT, IM TIMED


The diameter of a regulation soccer ball is about 8 and three-fifths inches. This number was graphed on a number line.


A number line going from negative 9 to positive 9. Point A is between negative 9 and negative 8, point B is between negative 7 and negative 6, point C is between 6 and 7, point D is between 8 and 9.


Which point could be the point representing the graph of the diameter of the ball?

A

B

C

D

Answers

Answer:

The answer is D....... between 8 and 9.

Answer:

D

Step-by-step explanation:

It is D because 8 3/5 is 8.6 in decimal form which is also right in between 9 and 8 which they are very close to 8.6. So there is not an exact number

A. 3 (x + 2) = 18

B. x + 2 = 6

1) How can we get Equation B from Equation A?

Choose 1 answer:

(Choice A) Add/subtract the same quantity to/from both sides

(Choice B) Add/subtract a quantity to/from only one side

(Choice C) Multiply/divide both sides by the same non-zero constant

(Choice D) Multiply/divide only one side by a non-zero constant

Answers

Answer:

c

Step-by-step explanation:

Which statement is true?

Answers

Answer: bro its the last one

Step-by-step explanation:

Answer:

its G.

Step-by-step explanation:

do you want the explanation? cuz i could i give one :)

Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. Upon recognizing his thumbprint, the square expands outward. The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds. What is the perimeter of the square after 1.5 seconds? 16.8 centimeters 19.2 centimeters 20.8 centimeters 29.2 centimeters

Answers

Answer:

Step-by-step explanation:

We can solve this question using proportion

Perimeter of the square/Time is takes to unlock

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence, the perimeter of the square after 1.5 seconds is:.x = unknown

32/2.5 = x/1.5

Cross Multiply

2.5x = 32 × 1.5

x = 32 × 1.5/2.5

x = 19.2 centimeters

Need Help Fast plsss

Answers

Answer:

The answer should be B.) 2yw+y-1

Step-by-step explanation:

For this equation you:

multiply both sides by y Add -2 by both sides.Divide both sides by 2.

Divide the square root of 81 by the difference between the product of-1 and -3 and the square root of 4​

Answers

Answer:  [tex]\frac{9}{1}[/tex]

Step-by-step explanation:

FIrst find the square root of 81.

[tex]\sqrt{81} = 9[/tex]  

The square root of 81 is 9.

FInd the product of -1 and -3 by multiplying the -1 by -3.

-1 * -3 = 3

next find the square root of 4.

     

   [tex]\sqrt{4} = 2[/tex]  

Now it said divide  the square root of 81 which is 9 by  the difference between 3 and 2 and the difference between 3 and 2 two is 1.  

Thos means that the answer will be 9/1.

what is y=3x+6 y=4x i need some help on it

Answers

Answer:

I don't fully understand, but if it is a true or false question it is false

Step-by-step explanation:

If y=4x      3x+6=9

4<9

So, in all it would be false.

A ball is dropped from the top of the Washington Monument which is 555 feet high.
a) How long will it take for the ball to hit the ground?
b) Find the ball's speed at impact.

this is calculus terms, not physics.​

Answers

Answer:

Time taken t = 5.88 sec (Approx)

Final velocity v = 188.46 ft/s (Approx)

Step-by-step explanation:

Given:

Height h = 555 ft

Initial velocity u = 0 ft/s

Gravitational acceleration g = 32 ft/s²

Computation:

h = ut + 1/2(gt²)

555 = 1/2(30)(t²)

Time taken t = 5.88 sec (Approx)

Final velocity v = u + at

Final velocity v = (32)(5.88)

Final velocity v = 188.46 ft/s (Approx)

Hellllllp awarding brainllest

Answers

Answer:

6/5x+2/9=-1
Move the constant to the right
6/5x=-1-2/9
6/5x=-11/9
Cross multiply
54=-55x
Swap sides
-55x=54
-55x/-55=54/-55
x=-54/55

What is the first step in solving the equation m/5 - 2=8

Answers

Answer:

The first step is adding two to both sides to further isolate the variable.

Step-by-step explanation:

You want m/5=10 so you can multiply 5 on both sides and find what m equals which is 50 in this instance.

Answer:

Step-by-step explanation:

m/5 -2=8 I would first add 2 to both sides

m/5=10 Then multiply both sides by 5 to clear out the fraction.

m=50

I don’t know how to write this the way it’s supposed to be written but I hope U understand it Y^5/y^2


Answers

Answer:

is 14 sorry if i am wrong

Step-by-step explanation:

PLEASE HELP!! I don’t understand

Answers

I don't know what the blanks would be, but this is a function. All numbers in set A go to one number in set B.

Yolanda is planning to put a pool in her backyard. The scaled model below gives the reduced measures for diameter and depth. The diameter of a pool is 18 centimeters and the depth is 4 centimeters. Not drawn to scale The yard space is large enough to have a pool that has a diameter of 27 feet. If Yolanda wants to keep the pool in proportion to the model, what will be the depth of the pool?

Answers

Answer: 6 feet

Step-by-step explanation:

You can use the ratio of the depth to the diameter of the pool in the scale to find out the depth in the yard given the diameter in the yard.

The ratio of the depth to the diameter is;

= 4/18

Given a diameter of 27 feet in the yard, the depth in the yard will be;

= 4/18 * 27

= 6 feet

Answer:

6ft

Step-by-step explanation:

square root of 5 times square root of 8

Answers

Answer:

6.32455532034

Rounded: 6.32

Hope this helps! :)

When solving the problem 4 + 36 / 2 - 3^2, Kerry got the answer 13 and Katie got the
answer 11, Which student got the correct answer? What did the student who got the
incorrect answer do wrong?

Answers

Kerry got the correct answer (13). Katie forgot to use PEMDAS.

PLEASEEEEEEEEEEEEEEEEE HELP

Answers

Answer:

Step-by-step explanation:

1. Simplifying

8x + 2y = 14

2. Solving

8x + 2y = 14

3. Solving for variable 'x'.

4. Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

8x + 2y + -2y = 14 + -2y

5. Combine like terms: 2y + -2y = 0

8x + 0 = 14 + -2y

8x = 14 + -2y

6. Divide each side by '8'.

x = 1.75 + -0.25y

7. Simplifying

x = 1.75 + -0.25y

please help!!???????

Answers

Answer:

a)

table:

[tex]\begin{array}{ccccc}&2&3&4\\0&2&3&4\\1&3&4&5\\2&4&5&6\\3&5&6&7\end{array}[/tex]

b) Count the number of occurrances:

i: There are 3 fours in the table of 12 outcomes, so the probability is 3/12 = 1/4

ii: There are 9 outcomes less than six in the table of 12 outcomes, so the probability is 9/12 = 3/4

iii: There are 3 outcomes of 6 or more in the table of 12 outcomes, so the probability is 3/12 = 1/4

Line FG is represented by the equation 8x+3y=10. Which value is the slope of a line perpendicular to line FG

A.-3/8

B.-1/8

C.3/8

D.8/3

Answers

Answer:

The correct answer is 3/8

Step-by-step explanation:

It was in my practice and I had gotten it correct.

Answer:

C. 3/8

Step-by-step explanation:

Since line FG is represented by an equation in standard form, Ax + By = C, the slope of the line is equal to -a/b.

So, the slope of line FG is -8/3

Perpendicular lines have opposite reciprocal slopes. So, a line perpendicular to line FG will have a slope equal to 3/8.

A 16 oz. latte costs $3.75. If they are sold at the same rate, how much would a 24 oz. latte cost? Round to the nearest tenth.

Answers

Answer:5.62

Step-by-step explanation:

Athena is playing a game with bianca silver chip are worth 4 point and gold chip are worth 7 point she has 4 gold and 7 silver chip how many point the athena have

Answers

Answer:

56 points

Step-by-step explanation:

Given that:

Worth of sliver chip = 4 points

Worth of gold chip = 7 points

If Athena has 4 gold and 7 silver chips ;

Number of points will be ;

(Number of gold * worth of gold Chip) + (number of silver * worth of silver chip)

(4 * 7) + (7 * 4)

28 + 28 = 56 points

Hence, Athena will have 56 points.

Dominic is looking to buy a cell phone and is comparing cellular plans. Company A charges a $175 start-up fee and

$75 per month for service. Company B does not have a start-up fee, but it charges $97 per month.

175+75m

Use the inequality < 97 to find how many months it will take before the average monthly cost of Company A

m

is less than Company B.

Enter your answer as a number, like this: 42

Answers

Answer:

4

Step-by-step explanation:

add up the cost of month one for A then keep adding 75 do the same for B

For less than 8 months the cost of company A remains less than company B.


Given that,
Company A charges a $175 start-up fee and $75 per month for service. Company B does not have a start-up fee, but it charges $97 per month.
To determine how many months it will take before the average monthly cost of Company A.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
According to the question,
175 + 75m < 97m
175 < 97m - 75m
175 < 22m
8 < m

Thus, for less than 8 months the cost of company A remains less than company B.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

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