1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liraira [26]
2 years ago
8

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 th

e circle?
A. (-2,6)
B. (6,-\sqrt{5})
C. (1,\sqrt{33})
D. (-2\sqrt{2},4)
Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

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

You might be interested in
The figure below shows a shaded circular region inside a larger circle: A shaded circle is shown inside another larger circle. T
Taya2010 [7]
Area of larger circle:  3.14 x 5^2 = 78.5

Area of small circle: 3.14 x 2^2 = 12.56

Difference of the 2 areas: 78.5 - 12.56 = 65.94

Probability of being in large circle but not small circle: 65.94 / 78.5 = 0.84 = 84%


 The answer is A) 84%

3 0
3 years ago
Read 2 more answers
A 120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at rig
mezya [45]

Answer:

x= 3 inch should be turned up on each side

Step-by-step explanation:

Let the height of trough be x.

Width of trough be 12 - 2x.

and length of trough = 120 inch

Volume of trough, V = L×W×H = 120 × (12-2x) × x = 120x(12 - 2x)

For maximum volume, we find V' = 0

i.e 1440 -480x = 0

or  x = \frac{1440}{480}

or  x= 3

Hence x= 3 inch should be turned up on each side

3 0
3 years ago
What is the equation of the line that passes through the point (8,-3) and has an undefined slope?
BARSIC [14]

Answer:

  x = 8

Step-by-step explanation:

A line with "undefined" slope is a vertical line, whose equation is of the form ...

  x = constant

In order for the line to go through a point with an x-coordinate of 8, the constant must be 8.

  x = 8 . . . . . a vertical line through (8, -3)

8 0
3 years ago
Which set of points below represents a function
vazorg [7]

Answer:

I believe it's the 3rd option:

(-1, 8), (0, 10), (1,12), (2, 14)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the slope and y-intercept of the graph?<br><br><br><br> Slope: <br><br><br> y-intercept:
mr Goodwill [35]
Y = 0 + 2

Since it is a horizontal line, the slope is m = 0.

For the y-intercept, the line passes through 2 so therefore, the y-intercept is 2 positive.
6 0
3 years ago
Read 2 more answers
Other questions:
  • A coin collection is made up of 34 coins comprised of nickels and dimes. The total value of the collection is $1.90. How many di
    5·1 answer
  • A carriage on carnival ride can hold up to 4 people. How many carriages are needed for a group of 22 people to ride?
    9·2 answers
  • Classify each polygon by its number of sides.
    8·2 answers
  • Which function can be used to model the monthly profit for x trinkets produced?
    15·1 answer
  • What is the length of the midsegment of the trapezoid
    5·1 answer
  • BRAINLIEST-<br> Find the volume of the figure
    9·1 answer
  • PLZZZ HELPPP!! THIS IS TIMEDDD!!!! *look at picture*
    7·2 answers
  • Which types of transformations do not change the shape of a graph?
    15·1 answer
  • Brad buys a video game desk for four dollars there was a discount of 20% off what is the sale price
    7·1 answer
  • What is the quotient 6x3+2x2−xx
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!