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
Firlakuza [10]
3 years ago
10

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0

Answer:

The answer to your question is    (x - 5)² + (x + 4) = 100

Step-by-step explanation:

Data

Center = (5, -4)

Point = (-3, 2)

Process

1.- Calculate the length of the radius

Formula

      d = \sqrt{(x2-x1)^{2} + (y2 - y1)^{2}}

Substitution

     d = \sqrt{(-3-5)^{2}+ (2 + 4)^{2}}

Simplification

     d = \sqrt{(-8)^{2}+ (6)^{2}}

     d= \sqrt{64 + 36}

     d = \sqrt{100}

     d = 10

2.- Get the equation of the line

     h = 5    k = -4    r = 10

     ( x - 5)² + (y + 4)² = 10²

Simplification and result

                               (x - 5)² + (x + 4) = 100

olya-2409 [2.1K]3 years ago
6 0

Answer:

The first space is 3,

The second space is -2

The third space is 100

Step-by-step explanation:

A circle with center (a, b) and has radius r has equation: (x-a)^{2} + (y-b)^{2} = r^{2}

Now, if the circle passes through (-3, 2) and it has center on (5, -4). That means the radius of the circle will be the distance between points (-3, 2) and (5, -4).

d = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }

where d = formula of distance between points (x_{2}, y_{2} ) \ and \ (x_{1}, y_{1} )

d = \sqrt{(-3-5)^{2} + (-4-2)^{2}  }\\ d = \sqrt{-8^{2} +  -6^{2} }\\ d = \sqrt{64+36}\\ d = \sqrt{100}\\ d = radius \ of \ circle = 10

Now, with r = 10, a = -3, b = 2

The equation of circle becomes:

(x-(-3))^{2} + (y-2)^{2}  = 10^{2} \\(x+3)^{2} + (y-2)^{2}  = 100 \\

The first space is 3,

The second space is -2

The third space is 100

You might be interested in
If you buy stocks for $20 per share and then sell it for $2 per share, what be the amount of the capital lost?
MissTica
I think $10 per share. it depends on how many shares you buy and sell
4 0
2 years ago
Find g[h(x)] if g(x)=x^2 and h(x)=x+3
svetlana [45]

Answer:

g(h(x)) = [x + 3]^2 or x^2 + 6x + 9

Step-by-step explanation:

g[h(x)] signifies that h(x) is the input to g(x).

Writing out g(x) = x^2 and replacing "x" with [x + 3], we get:

g(h(x)) = [x + 3]^2 or x^2 + 6x + 9

8 0
3 years ago
What is the value of x? º
attashe74 [19]
X equals 62 because you take 147 and subtract it from 180 and that gives you 33.
then you add 33 and 85 together to give you 118.  Then you subtract 118 from 180 and that gives you 62.
x=62
6 0
3 years ago
Read 2 more answers
Kurt deposited money into his bank account every month. The amount of money he deposited in the first 5 months of 2014 is listed
Irina-Kira [14]

Answer:

that is the answer

Step-by-step explanation:

3 1
3 years ago
Read 2 more answers
Expand the expression by distributing <br> -2(-4x-7)
vova2212 [387]
-2(-4x-7)
Answer:
8x+14
6 0
3 years ago
Read 2 more answers
Other questions:
  • Determine how much the bill will be if there are 50 text messages
    6·1 answer
  • Multiple the following:
    11·2 answers
  • Write two inequalities to compare 25 and 23
    8·2 answers
  • Vince bought 6 boxes of worms to use as bait while fishing with his friends. If each person uses exactly 3/8 of a box of worms,
    12·1 answer
  • A recipe calls for 1/3 cups of flour. If Yasmin decides to quadruple the recipe, how many cups of flour will she need? plz answe
    8·2 answers
  • Image down below plz help
    9·2 answers
  • Each question is worth 10 pts, I will do brainliest for the person who does both and follow pls help.
    7·1 answer
  • . A man bought a car for $60 320. After using it for 2 years he decides to trade in the car. The company estimated a depreciatio
    11·1 answer
  • Simplify 24.4 / 0.002​
    8·1 answer
  • Xander spends most of his time with his 10 closest friends. he has known 4 of his 10 friends since kindergarten. if he is going
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!