Select the correct answer. Which point lies on the circle represented by the equation (x + 7)2 + (y − 10)2 = 132? A. (5,12) B. (-7,-3) C. (-6,-10) D. (6,23)

Answers

Answer 1

Answer:

B. (-7,-3)

Step-by-step explanation:

Given the circle: [tex](x + 7)^2 + (y - 10)^2 = 13^2[/tex]

The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.

We now consider the given options.

Option A (5,12)

When x=5, y=12

[tex](5 + 7)^2 + (12 - 10)^2 =12^2+2^2=148\neq 169= 13^2[/tex]

Option B (-7,-3)

When x=-7, y=-3

[tex](-7 + 7)^2 + (-3 - 10)^2 =0^2+(-13)^2= 169=13^2[/tex]

Option C (-6,-10)

When x=-6, y=-10

[tex](-6 + 7)^2 + (-10 - 10)^2 =1^2+(-20)^2=401\neq 169= 13^2[/tex]

Option D (6,23)

When x=6, y=23

[tex](6 + 7)^2 + (23 - 10)^2 =13^2+13^2=338\neq 169= 13^2[/tex]

We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.

The correct option is B.


Related Questions

what’s the answer of this and how do you get it?

Answers

Answer: the area of the star is 1.94in squared

Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.

So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also

Step-by-step explanation:

PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS

SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO

ES IGOAL A LA MITAD DEL LADO DEL CUADRO

A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]

LUEGO SE MULTIPLICA POR 4

[tex]1.96 m^{2}[/tex]

SE ENCUENTRA EL ÁREA DEL CUADRADO

A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]

FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA

A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]

write the expression in factored form. m2 + 22m + 121

Answers

Answer:

(m+11)^2

Step-by-step explanation:

break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.

m^2+22m+121

m^2+11m+11+121

Factorize the first 2 terms then the next 2 terms.

m^2+11m = m(m+11)

11m+121 = 11(m+11)

Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.

(m+11)(m+11) = (m+11)^2

Hope this helps

Good Luck

holp 4h+j, where h=−4 and j=−2

Answers

Answer:

-18

Step-by-step explanation:

We are given the expression:

4h+j

We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.

4(-4)+-2

4(-4)-2

Solve according to PEMDAS

Multiply 4 and -4

-16-2

Subtract 2 from -16

-18

Answer: 4(-4)+(-2)=-18

Step-by-step explanation:

Express the ratio below in its simplest form. 6 : 2 : 6

Answers

Answer:

Step-by-step explanation:

6:2:6=3:6=3/6=(1*3)/(2*3)=1/2

Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

The answer to the question would be C.

Answer:

Step-by-step explanation:

Let's take each one of those answers and test it against the graph.

"Greater app price always relates to greater profit."

***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.

"Greater app price relates to greater profit as long as the app's price is more than about $7."

***As we just saw in the above statement, this is not true.

"The largest possible profits the company can make is 7 million dollars."

***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.

"The largest possible profit the company can make is about 40 million dollars."

***From above, we know that this is true.

The only true statement is the last one.

Which table represents a linear function?

Answers

Answer:

its A i just took the quiz

hope i helped!

Step-by-step explanation:

12 less than a number y

Answers

Answer: y- 12

Step-by-step explanation:

12 is less than y so is like 12 being subtracted from y.

The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm high.
What is the width of the screen?
Draw a diagram to illustrate your answer.

Answers

Answer:

Width of screen =57.44 cm

Step-by-step explanation:

Please refer to the attached image:

The TV screen is usually in the form of a rectangle.

The diagonal of the TV is termed as the screen size.

Size is given to be 70 cm

Height = 40 cm

As per the attached image:

BC = 40 cm

BD = 70 cm

Pythagoras theorem is given as:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Using pythagoras theorem in [tex]\triangle BDC[/tex]:

[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]

[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]

Hence, width of screen, CD =57.44 cm

Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115

Answers

Answer:

The slope is 10 (y =10x +15)

Step-by-step explanation:

When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.

The formula for finding the slope is y-y divided by x-x.

so... (35)-(-5)=40        NOTE: I did 35 minus -5 but you can also do -5 minus 35.

2-(-2)=4                           But just remember to do it the same order for

                                    subtracting the x coordinates.

40/4=10

another due for tomorrow help please

Answers

Answer:

189 cm²

Step-by-step explanation:

A= bh

h=9 , b=21

21×9=189 cm²

Hope it helps
Mark me brainliest

(WILL GIVE BRIANLIEST)

Please Help!

Question:
What is the solution set for the equation below?

(Look a the image, and the multiple choices are there)

Answers

Answer:

option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

Step-by-step explanation:

The given Quadratic equation is:

[tex]3x^{2} -x-4=0[/tex]

Let us try to make factors:

[tex]3x^{2} -x-4=0[/tex]

Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:

[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]

So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:

[tex]\{-1,\dfrac{4}{3}\}[/tex]

Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex]  is the correct answer.

How to find the length when the perimeter and width is given

Answers

Answer:

Step-by-step explanation:

Step 1:Width x 2

Step 2:Perimeter — step 1

Step 3:Step 2 divided by 2

Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of all adults that have high blood pressure.

Answers

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < [tex]\hat{p}[/tex] < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

Where:

x = 33

n = 136

[tex]\hat{p}[/tex] = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

[tex]CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}[/tex]

Which gives;

0.17059 < [tex]\hat{p}[/tex] < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < [tex]\hat{p}[/tex] < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

Which of the following statement justifies why the triangle shown below is not a right triangle?

Answers

Answer:

The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Step-by-step explanation:

A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].

For a triangle to be right angled triangle, following equation must hold:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]

Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].

Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.

In the given question figure, largest side, XY = 13 units

Other two sides are:

YZ = 4 units

XZ = 12 units

For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:

[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]

[tex]XY^{2} = 13^{2} = 169[/tex]

[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]

[tex]160 \neq 169[/tex]

Hence, the given triangle is not a right angled triangle because of following:

[tex]4^{2} +12^{2} \neq 13^{2}[/tex]

Hence, option A. is correct answer.

Answer:

its A

Step-by-step explanation:just took test and got 100%

Tina has 10 packages of yarn to knit a scarf. She uses 1/3 package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?

Answers

Answer:

30 inches

Step-by-step explanation:

She has 10 packages of yarn.

She uses 1/3 package of yarn for each inch of the scarf.

Therefore, 1 package of yarn will be 3 times each inch:

3 * 1 = 3 inches

1 package of yarn goes for 3 inches of scarf.

Therefore, 10 packages will go for:

10 * 3 = 30 inches

please help. right answer will be brainliest.

Question 12(Multiple Choice Worth 5 points)
(05.02 LC)
What is the area, in square units, of the parallelogram shown below?
A
В
6 units
D
C
-4 units
O 12 square units
18 square units
O 24 square units
36 square units

Answers

Answer:

24 square units

Step-by-step explanation:

6×4=24

Answer:

24 square units

Step-by-step explanation:

what is the value of x +when x=3?​

Answers

Answer:

when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info

Step-by-step explanation:

Answer:

x=3

will still remain as the same

so you answer is x=3

What type of scatterplots are they ?
(Left to right)
1 .
2.
3.

Answers

Answer:

1. positive

2. negative

3. null

Step-by-step explanation:

I looked up "all types of scatterplots and looked at which ones were on the screen

A shop is having a sale.all items are reduced by 25%. Work out the sale price of an item normally priced at £90 ?

Answers

Answer:

E67.5

Step-by-step explanation:

when we calculate 27%of E90 it result in 22.5then we subtract E22.5 from E90 which is equal to E67.5

Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?

Answers

Answer:

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40

Step-by-step explanation:

El número total de páginas en el cuaderno = 40

Número de páginas utilizadas = 2/5 × 40 = 16 páginas

Número de páginas extraídas = 1/8 × 40 = 5 páginas

Número de páginas disponibles = 40 - 16 - 5 = 19 páginas

Fracción del total restante = 19/40

La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.

Find the equation of the line. Use exact numbers. y= x+ i cant get a picture of the graph so x on the graph is 2 and y on the graph is 3

Answers

Answer: y = x + 1

Step-by-step explanation:

This is poorly written, but as i understand:

We have the general equation:

y = x + i

where i is a constant, and we want this function to pass through the point x = 2 and y = 3.

Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get

y = 3 = x + i = 2 + i

3 = 2 + i

3 - 2 = i

1 = i

So our equation is y = x + 1

please help quick !!!

Answers

Answer:

(-x + 3)/4 = 12

Step-by-step explanation:

By doing the workingout for this expression you will get the same solution.

Recreate the Unit circle below. Label in both degree and radians and identify the points (cosx, sinx). Are there any patterns that will help you remember all the points?

Answers

YES THEY ARE PATTERNS

convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)

Answers

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]

sin150° = sin30° = [tex]\frac{1}{2}[/tex]

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- [tex]\frac{\sqrt{3} }{2}[/tex] +  [tex]\frac{1}{2}[/tex]i )

  = - 2[tex]\sqrt{3}[/tex] + 2i , that is

(- 2[tex]\sqrt{3}[/tex], 2 ) → B

The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?​

Answers

Answer:

The width is 11 units.

Step-by-step explanation:

First, you have to add 4 to 18 which is 22. Then divide by 2.

preform the operation indicated 3x^2(2x^2-5x+1)

Answers

Answer:

6x^4 -15x^3 + 3x^2

Step-by-step explanation:

What we want to do here is to multiply what is outside the bracket with what is inside

That would be;

3x^2(2x^2 -5x + 1)

= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)

Opening the brackets, we have;

6x^4 -15x^3 + 3x^2

Simplify 19 – 1.67 + (–2.4)

Answers

Answer is 19.73!!! Hope this helps

There are 4 green marbles, 5 red marbles, and 6 blue marbles in a bag. Find the probability of drawing a red marble, replacing it back in the bag, and then drawing a second red marble *

Answers

Answer:

1/9

Step-by-step explanation:

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P(red)= number of red/ total = 5/15 = 1/3

Put it back in the bag

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P (red)= number of red/ total = 5/15 = 1/3

P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9

For what value of the variable will
b
the value of 3−5c be 1 less than the value of 1−c?

Answers

Answer:

c = 3/4

Step-by-step explanation:

Lets set up an equation.

You can get

3-5c + 1 = 1-c to show that it is one less.

now we can solve it.

So by combining like terms, we get:

4-5c = 1-c

that then becomes:

3-5c = -c

--> 3 = 4c

--> c = 3/4

Answer:

c=3/4

Step-by-step explanation:

I do RSM :)

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

Answer:   $80

Work Shown:

i = 20 = interest we want to earn

r = 0.05 = decimal form of the annual interest rate

t = 5 = number of years

P = i/(r*t)

P = 20/(0.05*5)

P = 80

Answer:

80

Step-by-step explanation:

i got it right

Other Questions
Afternoon on a HillI will be the gladdest thingUnder the sun!I will touch a hundred flowersAnd not pick one.I will look at cliffs and cloudsWith quiet eyes,Watch the wind bow down the grass,And the grass rise.And when lights begin to showUp from the town,I will mark which must be mine,And then start down!1)What is a theme?A)A theme is the topic the author is writing about. "Penguins and their habitat" would be an example.B)A theme is the time and place the story takes place. "Beside a river in the afternoon" would be an example.C)A theme is the idea that the author is trying to express or explain. "Always love your neighbor" would be an example.D)A theme is a short description about what happens in a story. "This story is about a dog who finds a loving home" is an example.2)What is the theme of this poem?A)Be nice and kind to all plants and animals.B)Always be happy in the space that you are in.C)Read every poem from the beginning to the end.D)Wear sun protection whenever you are out in nature. How does the structure of the text develop the author's ideas?The author mentions the Great Spirit several times toO emphasize that the Great Spirit was an importantinfluence in his ancestors' lives.The author uses foreshadowing to hint that hisO ancestors would eventually lose faith in the GreatSpiritThe author uses reverse chronological order toO explain how his great-grandfather became chief atsuch a young age.The author compares his great-grandfather'sO leadership with the white man's leadership to showhow the men influenced each other. In the ordered pair (3, 4), the value of x is 3. The 3 tells us how many places we are going to walk from zero. Will you walk to the right of the zero or the left? "'Oh, East is East, and West is West, and never the twain shall meet.'" With this famous line, British writer Rudyard Kipling has captured the idea that the East and West are so radically different that their people can't possibly understand one another. Do you agree or disagree with Kipling's statement? Rectangle has a width 9 of units and a length of 40 unit is.what is the length of a diagonal? Necesito ayuda urgente, es un trabajo de matemticas y tengo plazo hasta maana a las 12:00 P.M hora Colombia. Ayudaaa plisssTengo que seleccionar la opcin correcta You are a sports writer watching a baseball game. The picture is thrown a fastball, a curveball, then to fast balls, and two curveballs, then three fastballs. Predict the next 5 pitches. Logical organization, the use of you, active voice, and short sentences are all features of __________. A. design features of a document B. all legal and governmental documents C. a document using the ideas of PLAIN D. typographical features of a document Which of the following is the best way to reduce the amount of particulate matter from a manufacturing factory's smokestacks?A. recycling binB. activated charcoalC. power plant scrubberD. cyclone dust collector what is swedens culture like?BTW this is for child development. alex and (they,them) deserve to win Which structures allow oxygen to move from the lungs into the bloodstream? bronchi veins alveoli arteries What is the basis for economics If the probability that the Islanders will beat the Rangers in a game is 0.38, what is the probability that the Islanders will win at least six out of seven games in a series against the Rangers? Round your answer to the nearest thousandth. Evaluate h-g for h = 4 and g = 32.21/28 Two angles of a quadrilateral measure 140 and 80. The other two angles are in aratio of 3:4. What is the value of x? What are the measures of those two angles? CHEM PLZ HELP, Which thermochemical equation represents the most exothermic reaction?Question 7 options:16CO2 + 18H2O 2C8H18 +25O2 , H = +5,471 kJ/molNH4Cl NH4+ (aq) + Cl (aq) , H = +14.8 kJ/molC5H12 (g) + 8O2 (g) 5CO2 (g) + 6H2O (l), H = 3,536.1 kJ/mol 2) Consider the sequence of steps to solve the equation: x - 3/3 = x + 3 Step 1 x - 3 = 3(x + 3) Step 2 x - 3 = 3x + 9 Step 3 x = 3x + 12 Step 4 -2x = 12 Step 5 x = -6 Identify the property of equality which yields Step 5. Read the following excerpt from a play:Cameron, flushed and angry, exits. Irene starts to follow.Mr. Kentworthy: Irene, wait. If you miss the test, you'll bothfail!Irene stops and considers Mr. Kentworthy. She touches thebracelet Cameron gave her. Slowly, resolutely, she turnsand leaves the room.Which statement most accurately describes the message of this passage?O A. It develops an explicit theme that everyone should pursueacademic success.O B. It develops an explicit theme that love is more important thananything else.C. It develops an implicit theme that everyone should pursueacademic success. Use Hess law and the following equations to calculate H for the reactio below