Consider a circle centered at C(0,0). If the point P(3,5) lies on the circle, then which of the following points also lies on the circle?
A. (-2,6)
B. (6,-[tex]\sqrt{5}[/tex])
C. (1,[tex]\sqrt{33}[/tex])
D. (-2[tex]\sqrt{2}[/tex],4)

Answers

Answer 1

Answer:

C

Step-by-step explanation:

First find the equation of the circle

the general formula for a circle (x-h)² + (y-k)² = r² where (h=0, k=0) are the coordinates of the center and r is the radius that we do not know

the distance between the center (0, 0) and the point (3,5) is the radius

distance formula d² = (x2-x1)² +(y2-y1)²  where (x1=0,y1=0) and (x2=3, y2=5)

d² = (3-0)² + (5-0)² = 3² +5² = 9+ 25 = 34 =r²

(x-0)² + (y-0)² = 34 ; x²+y² =34 is the equation of the circle

Second check if any of the points are on the circle by substituting x and y with de given coordinates.

A. for (-2, 6) we have (-2)²+6² =34 so 4+36 =34 false

B. for (6, -√5) we have 6²+(-√5)² =34 so 36+5=34 false

C. for (1, √33) we have 1²+(√33)² =34 so 1+33 =34 true

D. for (-2√2, 4) we have (-2√2)²+4² =34 so 8+16=34 false


Related Questions

What is the solution of log(2f+4)=log(14-3f)
A)-18
B)-2
C)2
D)10

Answers

Answer:

f = 2

Step-by-step explanation:

equate the log

therefore,

2f + 4 = 14 - 3f

collect like terms

2f + 3f = 14 - 4

5f = 10

divide through by 5

f = 10/5

f = 2

Someone please help will mark brainliest!!!

Answers

Answer: 50°

Step-by-step explanation: ur smart, u don’t need one, but if u really want one just comment on it and I’ll give u one :)

D is your answer so


If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the
second equation is substituted into the first equation

3x + 2y = -21
x - 3y = 4

3(3y + 4) + 2y = -21
3(-3y + 4) + 2y = -21
3x + 2(3y + 4) = -21
3x + 2(-3y + 4) = -21

Answers

Answer:

answer is

3(3y+4) + 2y = -21 .

Dana Wright operates an airport limousine service. He owns the limo and does his own driving. He values his driving time at $25 per hour. He pays a commission fee of $10 to the person who brings him the business. A trip to the airport takes three hours and uses $25 worth of gasoline. If Dana charges each customer $200, what is his contribution margin per unit of sale? How much does Dana make on each trip as a driver? As the owner of the business?

Answers

Dana would make a certain amount of money and that answer would be, a certain amount

Which line on the graph represents the equation y + 4 = -2x/3

Answers

Answer:

The answer is line D

Step-by-step explanation:

Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?


Answers

Answer:

45m²

Step-by-step explanation:

=> Area = base × height

=> A = 5m × 9m

=> A = 45m²

5 b = - 25 for algebra

Answers

Answer:

b= -5

Step-by-step explanation:

because 5x-5=-25

5b= -25
-25 divided by 5 = -5
b= -5

In a 60 sheet package of construction paper there are 15 yellow sheets what is the probability that a randomly selected sheet will be yellow

Answers

Answer:

15/60 or 1/4, which is 25%

Step-by-step explanation:

a) Make t the subject of the formula


[tex]( \sqrt{t + 2) \div u = 1} [/tex]

Answers


t = u - 2

Square both sides to eliminate the square root.
t + 2 / u = 1

Multiply both sides by u to remove it from the left side of the equation that has t
t + 2 = u
(When the coefficient is 1, you don’t write it)

Subtract 2 from both sides to make t by itself
t = u - 2

I hope that this is what you were asking for, I’m sorry if it wasn’t

When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?

Answers

Answer:

The value of b will be squared

Step-by-step explanation:

Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

You will see that the only squared coefficient is b.

4.
Find the x- and y-intercept of the line.
2x + 3y = -18

Answers

Hi there!

»»————- ★ ————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————- ★ ————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————- ★ ————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

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

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.  

Help with this problem pls

Answers

As x increasing y decreases.

As x decreases, y increases.

Please mark as the brainliest.

Hope it helps you.

Thank You

What association does the scatter plot show
A positive nonlinear association
B positive linear association
C no
D negative nonlinear
E negative linear

Answers

C. No Association
This is because there is no definitive line in the graph or upwards or downwards trend

Answer:

The answer would be no association

Step-by-step explanation:

Find the circumference of each of the circles described below.
a. Radius of 3 inches
b. Diameter of 27 cm

Answers

Answer:

a) 18.85 or 19

b) 84.82 or 85

Which equations are true? Choose all that apply.
A. 15^0=15
B. (8^3) (8^6)= 8^9
C. 5^2 = 1/5-3
D. (6^5)^3 = 6^15
E. 3^7/3^9 = 3^-2

Answers

Answer:

B, D, E

Step-by-step explanation:

A) anything to the zero power equals one

B) when bases are the same and being multiplied, add their exponents

C) 5² = 25

D) when parentheses separate exponents, they should be multiplied

E) when bases are the same being divided, subtract their exponents

Please help with these high school geometry circle questions.

Answers

Answer:

I don't know I'm really sorry please don't be angry

and if you want my social media cause your angry I'll give

The box-and-whisker plot below represents some data set. What percenta data values are less than 66?​

Answers

Given:

The a box-and-whisker plot if a data set.

To find:

The percentage of data values that are less than 66.

Solution:

From the given box-and-whisker plot, it is clear that the number 66  is the highest value of the data set.

It means all the values of the data set are less than 66 and no value can be more than 66.

All value means 100%.

Therefore, 100% of data values are less than 66.

A stack of 500 pieces of paper is 2 inches tall. How tall is a stack of 250 pieces? 100 pieces? 10 pieces?

Answers

250 is one inch
100 is 0.4 inch
10 is 0.04 inch

The graphs of linear functions fand g are shown on the grid.
which function best represented by the graph of g

Answers

Answer:

g(x) = 3f(x)

Step-by-step explanation:

We can see that for function g;

When x = 1, y = 3

When x = 2, y = 6

When x = -1, y = -3

When x = -2, y = -6

For function f;

When x = 1, y = 1

When x = 2, y = 2

When x = -1, y = -1

When x = -, y = -2

We can see that the output of g(x) is always 3 times that of f(x) for same values of x.

Thus;

g(x) = 3f(x)

(4rxt – 8r2x + x²) – (6rx² + 5rxt – 2x)

Find the sum or difference

Please help! I’m stuck and can’t figure it out

Answers

Answer:

[tex]sum = (4 - 5)rxt - (8 + 6) {rx}^{2} + (1 + 2)x \\ = - rxt - 14 {rx}^{2} + 3x \\ \\ difference = (4 + 5)rxt + (6 - 8) {rx}^{2} + ( - 2 + 1)x \\ = 9rxt - 2 {rx}^{2} - x[/tex]

[tex] \small{ \underline{{ \blue{becker}}}}[/tex]

2. Order these numbers from least to greatest: 5,0,1,-15-3,-1

Answers

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Find the value of x.

Answers

Answer:

46degrees

Step-by-step explanation:

Find the value of x.

Using the circle theorem which states that

The angle at the vertex is half the difference that at the intercepted arcccs

x = 1/2(152 - 60)

x = 1/2 (92)

x = 92/2

x = 46degrees

Hence the value of x is 46degrees

List the kinds of measurements have you worked with so far. Describe what area is. Describe what volume is.

How could you find the combined area of all faces of a three-dimensional shape? Give an example of why that would be a good measurement to know.

Answers

1. i’m not sure what you have worked with.
2. area is how much space is within a 2D shape.
3. Volume is the amount of mass that a 3D shape takes up.
4. You find the combined area of a 3D shape by finding the individual area of each shapes on the outside of the 3D shape and then add them up.
5. i’m not sure what you mean by “give an example of why that would be a good measurement to know”

Answer:

In the passed I've used measurement cups, rulers, addition, subtration, and multiplication too.

Step-by-step explanation:

Stay Safe <3 =3 Can I maybe Get Brainliest?

Can someone help solve this?

Answers

Answer:

C

Step-by-step explanation:

The Fergusons want to install a new tile floor in their kitchen. The kitchen is in the shape of a rectangle and is 9 feet by 12 feet. They have chosen large square tiles that are 2 feet by 2 feet. how many tiles will they need to buy to cover their kitchen floor?

Answers

Answer:

27 tiles

Step-by-step explanation:

First, find the total area of the kitchen.

Use the area formula, A = lw

A = lw

A = (9)(12)

A = 108

So, the area of the kitchen is 108 sq ft

Find the area of the square tiles, using the same formula:

A = lw

A = (2)(2)

A = 4

So, the area of one square tile is 4 sq ft

Find how many tiles they will need to buy by dividing the total area by the area of one tile:

108/4

= 27

So, they will need to buy 27 tiles

Answer:

27 tiles

To find the total area of the kitchen.

We know,

area formula, A = lw

A = lw

A = (9)(12)

A = 108

So, the area of the kitchen is 108 sqft

Now

To find the area of the square tiles

A = lw

A = (2)(2)

A = 4

So, the area of one square tile is 4 sqft

Atlast

Find how many tiles they will need to buy by dividing the total area by the area of one tile:

108/4

= 27

So, Tiles Needed= 27

Hope This Helps You ❤️

How many times larger is 3 x 10^8 than 3 x 10^2

A: 1 x 10^-6
B: 1 x 10^4
C: 1 x 10^6
D: 1 x 10^10

Answers

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

What is Harry's unpaid balance?
0 $74.89
O $89.89
O $112.50
0 $127.50

Answers

Answer:

what is harry unpaid balance

0$74.89

Consider triangle ABC.
What is the value of y in the triangle?
С
809
Angle y =
B В

Answers

Give me a second to get the answer and I’ll text you back

Answer:

50

Step-by-step explanation:

y = kx
In the equation, what does "k" represent?

Answers

Answer: it’s the number that stays the same

Step-by-step explanation: ex. y = 24(6x)

Answer: K is the constant.

The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of their masses?

Answers

Answer:

carbon is heavier

Step-by-step explanation:

That's the difference right?

Oh and if you want an exact number, you can take the mass of carbon arom and subtract the mass of hydrogen atom

1.994×10^-23 - 1.67×10^-24= 19.94×10^-24 - 1.67×10^-24= 18.27x10^-24

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