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
meriva
2 years ago
6

The circle below is centered at the point (4,3) and has a radius length 5. What is its equation

Mathematics
2 answers:
Rzqust [24]2 years ago
8 0
Well, equation of circle is (X-X1)^2 + (Y-Y1)^2 = R^2

so, (X-4)^2 + (Y-3)^2 = 25

X^2 + 16 -8X + Y^2 + 9 - 6Y = 25

X^2 + Y^2  - 8X - 6Y = 0

hope it helped :)
Crazy boy [7]2 years ago
3 0
The equation of a circle centred at point (m,n) and radius r is given by

<span>(x-m)² + (y-n)² = r²
</span>-------------------------------------------------------------
Centre = (4,3)
radius = 5

Equation:
(x - 4)² + (y - 3)² = 5²
⇒ x² - 8x + 16 + y² - 6y + 9 = 25
⇒ x² + y² - 8x - 6y + 25 = 25
⇒ x² + y² - 8x - 6y = 0

The equation of the circle is x² + y² - 8x - 6y = 0

Hope it helps!
You might be interested in
Solve the following systems by substitution
Paladinen [302]

Answer:

The answer to your question is below

Step-by-step explanation:

Question 1

                x = 5                       Equation l

                2x + y = 10              Equation ll

- Substitute Equation l in equation ll

               2(5) + y = 10

                y = 10 - 10

                y = 0

- Solution  (5, 0)

Question 2

                 x + 16y = 20          Equation l

                 x = 4y                    Equation ll

Substitute equation ll in equation l

                4y + 16y = 20

                        20y = 20

                           y = 20/20

                           y = 1

-Find x

                x = 4(1)

                x = 4

-Solution

                (4, 1)

Question 3

                   2x + 8y = 20            Equation l

                     x = 2                       Equation ll

-Substitute equation ll in equation l

                   2(2) + 8y = 20

                      4 + 8y = 20

                            8y = 20 - 4

                            8y = 16

                              y = 16/8

                              y = 2

- Solution

                   (2, 2)              

8 0
3 years ago
Pls pls pls pls help
artcher [175]

Answer:

  see below

Step-by-step explanation:

A. Reflection across the y-axis replaces each x coordinate with its opposite.

B. Rotation 90° CW does the transformation (x, y) ⇒ (y, -x)

C. This is a translation left 2 units.

D. Rotation 90° CCW does the transformation (x, y) ⇒ (-y, x)

E. This is a translation left 7 and down 2.

__

In the attached graphs, we have identified a point that is a corresponding point on each figure. This is so you can see how the various transformations move it and the rest of the figure in relation to it. 90° arcs are shown so you can see the rotations more easily.

The figures are labeled and color coded in accordance with the problem statement.

8 0
3 years ago
I need to turn this in by tomorrow!!!!! PLEASE HELP ME.
AlladinOne [14]

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

4 0
3 years ago
Anyone who answers correctly gets brainlist!
pochemuha

Answer:

A

Step-by-step explanation:

A is the procedure

5 0
3 years ago
HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadran
Keith_Richards [23]

9514 1404 393

Answer:

  D

Step-by-step explanation:

In the second quadrant, ...

  c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

  d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

  \dfrac{21+24\sqrt{7}}{100}\approx 0.84498

_____

Perhaps you want to work this out using the trig identities.

  cos(c) = -√(1 -sin(c)²) = -7/25

  sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

  cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

  cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

  cos(c+d) = (21 +24√7)/100 . . . . matches choice D

8 0
2 years ago
Other questions:
  • Use Long Division to answer number 4. Please show all work!​
    12·1 answer
  • Identify the factors of x2 + 25y2. ...?
    6·1 answer
  • Please Answer and Show your Work: <br><br> 4x/13 + 3/13 = -1/13
    14·1 answer
  • How many ace of spades are in a deck of 52 playing cards
    13·1 answer
  • (Press this if you don't see it) I need help on number six and seven.
    15·1 answer
  • Use the discriminant to determine the number of real solutions to the quadratic equation. 5a2+30a+45=0
    12·1 answer
  • Find the unit rate.<br> 48 cupcakes in 6 boxes=cupcakes per box
    15·2 answers
  • PLS HELP ME IT IS SO HARD
    9·1 answer
  • Please help me i really need help please help me please
    14·1 answer
  • What Islamic cultural characteristics were spread by trade during the medieval times?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!