A circle centered at (–1, 2) has a diameter of 10 units. Amit wants to determine whether (2, –2) is also on the circle. His work is shown below.

The radius is 5 units.

Find the distance from the center to (2, –2).

StartRoot (negative 1 minus 2) squared + (2 minus (negative 2)) squared EndRoot. StartRoot (negative 3) squared + (0) squared EndRoot = 3.

The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

Is Amit’s work correct?

No, he should have used the origin as the center of the circle.
No, the radius is 10 units, not 5 units.
No, he did not calculate the distance correctly.
Yes, the distance from the center to (2, –2) is not the same as the radius.

Answers

Answer 1

Answer:

3rd

C

Explanation:

Amit's mistake : The point (2, –2) doesn’t lie on the circle because the calculated distance should be the same as the radius.

Answer 2

The point (2,-2) is on the circle, and Amit's claim is wrong

How to determine if Amit's work is correct?

The given parameters are:

Center = (-1,2)

Diameter = 10 units

Point = (2,-2)

Start by calculating the radius, r

r = diameter/2

r = 10/2

r = 5

Next, calculate the distance from the point to the center using:

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

This gives

[tex]r = \sqrt{(2 + 1)^2 + (-2-2)^2}[/tex]

Evaluate

r = 5

The distance from the center to the point equals the radius of the circle

Hence, the point is on the circle, and Amit's claim is wrong

Read more about circle equations at:

https://brainly.com/question/1559324

#SPJ2


Related Questions

discuss who the contributors were in algebra

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The contributors was Diophantus

I think

Ismael uses Cavalieri's principle to show that the cylinder and rectangular prism
have the same volume.
350
The base of the rectangular prism is 3.5 feet long. How wide is the base of the
prism?

Answers

Answer:

I think 48

Step-by-step explanation:

by adding

In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE

Answers

Answer:

GE = 14

Step-by-step explanation:

The incenter is equidistant from the sides, so GD = GE = GF.

Set the expressions for GD and GF equal to each other and solve for x.

3x + 5 = 6x - 4

5 = 3x - 4

9 = 3x

3 = x

Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.

GE must be the same, GE = 14

The radius of a circle is 17 in. Find its area in terms of π.

Answers

A≈907.92in²

Because:

A=πr2=π·172≈907.92028in²

Answer:

289π or 907.46 in

Step-by-step explanation:

The formula for area of a circle is π r².

The radius is 17, so the first step is 17².

17²= 289

Next, you multiply 289 by pi (3.14).

3.14 x 289 = 907.46.

Therefore, the area in terms of pi is 289π or 907.46 in.

HELPPP ASAP


The section of the basketball court below needs to be resurfaced. How many square feet of wood do you need to cover the area below? Use 3.14 for pi and round your answer to the tenths place (one decimal place).

Answers

Answer: 680.4 square feet

Step-by-step explanation:

please mark brainiest

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.

Answers

Answer:

Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

A box contains 5 red pens 10 white pens and 20 green pens if one pen is taken out of

the box at random. What is the probability that the pen taken out will be

i) White pen ii) not a red pen​

Answers

Answer:

Step-by-step explanation:

Firstly, find the total amount of pens

5  + 10 + 20 = 35, Total of 35 pens

White pens: 10/35

Not a red pen: 20 + 10= 30, 30/35

Calculate these to a percentage:

White- 10/35: 28.57%

Not a red pen- 30/35: 85.71%

White pen: 10/35 = 30%
Not a red pen: 30/35 = 85%

What is the range of the data below? ​

Answers

Answer...

the answer is 41

Lebron makes 5 cups of punch by mixing 3 cups of cranberry juice with 2 cups of apple juice. How much cranberry juice and how much apple juice does Lebron need to make 4 times the original recipe

Answers

Answer:

For 4 times the original recipe  Lebron needs 12 cups of cranberry juice with  8 cups of apple juice.

Step-by-step explanation:

For 5 cups of punch Lebron needs 3 cups of cranberry juice with 2 cups of apple juice.

For 4 times the original recipe  Lebron needs 3*4= 12 cups of cranberry juice with 2*4= 8 cups of apple juice.

He will get 20 cups of punch.

We multiply each ingredient of the original recipe by the factor 4 to get the required ingredients of the 4 times product as the original product.

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

A state that has license plates with 2 letters, followed by 4 digits.

Answers

Florida is the state

Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5 cards with the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with $25, which of the following will happen?

Answers

Answer:

Her birthday money total will increase by $25 (total: $150).

Step-by-step explanation:

$10 + $20 + $25 + $30 + $40 + $25 = $150

Which of the following is equal to the rational expression when x = 5 or -3? x^2+x-6/x^2-2x-15
A. X-6/x-5
B. X+3/c-5
C. X-2/X+3
D. X-2/x-5

Answers

Answer:

C. X-2/X+3

Step-by-step explanation:

(4/x) + (4/y) / (16/x2y2) is where we start. I will factor out

1/(16/x2y2).

 

(1/(16/x2y2)) (64xy2 + 4/y) = (x2y2/16)(64xy2 + 4/y)

 

I need to factor out a 4/y from there.

 

(x2y/4)(16xy + 1) = x2y (16xy + 1) / 4

Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
​1+sinθ

​cosθ
​​ =
​cosθ

​1−sinθ
​​

​​

Answers

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

Hope it helps.

If you have any query, feel free to ask.

if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?​

Answers

Answer:

8 bags

Step-by-step explanation:

If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.

In a survey 7 out of 8 dentists recommend a ProTooth toothbrush. Based on this information, which can the toothbrush company predict about its recommendations?

In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.

In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.

In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.

In a survey of 40 dentists, 33 of them will recommend a ProTooth toothbrush

Answers

Answer:

64 dentists, 56 of them will recommend

Step-by-step explanation:

I just continued to add 8 more dentists with there recommended outcome until it showed a matching prediction.

Answer:

C. In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.

Step-by-step explanation:

i did this

Factorize this question​

Answers

Answer: (3a+5b)(3a−5b)(a+b)(a−b)

Step-by-step explanation:

Factor 9a4−34a2b2+25b4

9a4−34a2b2+25b4

=(3a+5b)(3a−5b)(a+b)(a−b)

PLZ HELP I GIVE FIRST PERSON BRAINLIEST!!!!!
DO AS MANY AS YOU WANT

Answers

Answer:

Trapezoid area:

A = 1/2(a + b)h, where a, b - bases , h - height17. a)a = RS = 4 unitsb = AT = 8 unitsh = 8 units, the distance between RS and AT

A = 1/2(4 + 8)*8 = 48 units²

17. b)a = SK = 4 unitsb = OC = 10 unitsh = SO = 6 units

A = 1/2(4 + 10)*6 = 42 units²

18. a)a = ME = 6 unitsb = AZ = 10 unitsh = MA = 8 units

A = 1/2(6 + 10)*8 = 64 units²

Area of trapezoid:

Line RS: 2x2 = 4 units (first base)

Line TA: 4x2 = 8 units (second base)

The height (aka that x-axis inside shape): 4x2 = 8 units (h)

Area formula: (4 + 8)8 ÷ 2

= (4 + 8)8 ÷ 2

= 12(8) ÷ 2

= 96 ÷ 2

ANSWER = 48 sq. units

____________________________________________________________

Area of trapezoid:

Line SK: 2x2 = 4 units (first base)

Line OC: 5x2 = 10 units (second base)

Line SO (height): 3x2 = 6 units (h)

Area formula: (b1 + b2)h ÷ 2

= (4 + 10)6 ÷ 2

= 14(6) ÷ 2

= 84 ÷ 2

ANSWER = 42 sq. units

____________________________________________________________

Area of trapezoid:

Line ME: 6 units (first base)

Line AZ: 10 units (second base)

Line MA (height): 8 units (h)

Area formula: (b1 + b2)h ÷ 2

= (6 + 10)8 ÷ 2

= (16)8 ÷ 2

= 128 ÷ 2

= 64

ANSWER = 64 sq. units

What is the least common denominator for the fractions below? 2/6 * 1/5

Answers

Answer:

1/15

Step-by-step explanation:

2/6 x 1/5 = 2/30

2/30 = 1/15

Answer:

30

Step-by-step explanation:

Factorice lo siguiente
5

Answers

Answer:

61

Step-by-step explanation:

marque esta respuesta como la más inteligente

7/3 + x=3;x math I really need help

Answers

Given:

The equation is:

[tex]\dfrac{7}{3}+x=3[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\dfrac{7}{3}+x=3[/tex]

Subtract both sides by [tex]\dfrac{7}{3}[/tex].

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

[tex]x=\dfrac{9-7}{3}[/tex]

[tex]x=\dfrac{2}{3}[/tex]

Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.

Yahoo in Sunnyville currently has a staff of 6,200 employees. Next month, Yahoo will decrease it’s staff by 8%. How many people will be employed by Yahoo next month?

Answers

Answer:

89

Step-by-step explanation:

A 60-inch flat screen gets its name from the Pythagorean Theorem. The "60" represents the diagonal of the
screen. If the base of the TV is 48 inches, find the height.
Select the correct response:

36 inches

072 inches

54 inches

24 inches

Answers

Answer:

A- 36 inches

Step-by-step explanation:

The equation gives you 60 as a diagonal, so that means that 60 is the hypotenuse. It also gives you 48 as the length of a base.

Putting that into the Pythagorean theorem, you get...

48^2 + ?^2 = 60^2

Now, you need to solve for ?. After solving through the equation and simplifying, you're gonna get 36.

Mark as brainliest if this helped :)

Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.

What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.

Answers

Answer:a

Step-by-step explanation:

Answer:

y = (10/9)x - 138/9

Height of 164.7 cm for an arm span of 162 cm

Step-by-step explanation:

First we find the slope.  (178 - 168)/(174 - 165) = 10/9

Now use the point-slope form of a line

y - 168 = 10/9(x - 165)

9y - 9(168) = 10(x - 165)

9y - 1512 = 10x - 1650

9y = 10x - 138

y = (10/9)x - 138/9

If the arm span is 162 cm, then x = 162

y = (10/9)(162) -138/9

= 180 - 15.3

 = 164.7 cm

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

A certain flight requires 3/8 of an hour if the plane has been flying for 1/4 of an hour what fraction of an hour remains before landing

Answers

1/4=2/8
3/8-2/8=1/8
1/8 of a hour remains on the flight. ✈️

can u guys help me ​

Answers

Answer:

Step-by-step explanation:

A circle has a diameter of 8 cm. What is the circumference? Round to
the nearest hundredth.

Answers

Answer:

C≈25.13cm

Step-by-step explanation:

C=πd=π·8≈25.13274cm

d=2r

C=2πr

(hope this helps)

Step-by-step explanation:

area of a cicle is π[tex]r^{2}[/tex]

the diameter is twice as long as the radius so the radius would have a length of 4 cm.

π[tex]4^{2}[/tex]=50.27

Hope that helps :)

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