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
storchak [24]
3 years ago
6

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

Mathematics
1 answer:
yawa3891 [41]3 years ago
5 0
The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
\sqrt{  ( y_{A}-y_{C )^{2} + (x_{A}- x_{C )^{2} }
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

You might be interested in
A suitcase measures 24 inches long and the diagonal is 30 inches long. How much material is needed to cover one side of the suit
azamat

Answer:

I believe you're supposed to solve for the other missing side. If you know a side (a) and the diagonal or also known as the hypotenuse (c), you will be able to solve for the other side using the Pythagorean theorem.

Step-by-step explanation:

a^2+b^2=c^2 Substitute the values for a and c

24^2+b^2=30^2 Solve for the powers

576+b^2=900 Subtract 576 from both sides

b^2=324 Solve for the root of 324

18=b

You would need 18 inches of material to cover one side of the suitcase.

8 0
3 years ago
The degree measure of an angle in a right triangle is x, and sin x = 0.354, which of the following expressions is also equal to
almond37 [142]
What are the expressions?
6 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!! Find the volume of a cone that has a diameter 30ft and a height of 12ft.
Leviafan [203]

Answer:

the answer is 2827.4

Step-by-step explanation:

\pi \:  {r}^{2}  \frac{h}{3}

5 0
3 years ago
To one-one functions g and h are defined as follows.
Andreyy89

Answer:

  • 9
  • (x-8)/3
  • -1

Step-by-step explanation:

The inverse function for a set of ordered pairs can be found by swapping the x- and y-coordinates in each pair.

  g^{-1}(-1)=9\qquad\text{from the $g(x)$ ordered pair $(9, -1)$}

__

The inverse of a function expressed algebraically can be found by swapping the x- and y-variables and solving for y.

  h^{-1}(x)\qquad\text{is found from }x=h(y)\\\\x=3y+8\\x-8=3y\\\\y=\dfrac{x-8}{3}\\\\\boxed{h^{-1}(x)=\dfrac{x-8}{3}}

A function of its own inverse returns the original value:

  \boxed{\left(h\circ h^{-1}\right)(-1)=-1}

6 0
3 years ago
Someone help me please:)
Kryger [21]

Answer:

a. The time to strike the ground is 5 seconds

b. The time for the ball to be over than 96 ft is 1 second

Step-by-step explanation:

a. When the ball thrown vertically up ward to reach its maximum height at velocity = 0 then complete its motion vertically down ward to strike the ground its displacement = zero

∴ s(t) = 0 ⇒ 80t-16t^{2}=0

∴16t(5 - t) = 0

5 - t = 0⇒ ∴ t = 5 seconds

b. To tind the time that the ball will be over 96 ft over the ground substitute in s(t)=80t-16t^{2}

96=80t-16t^{2}

16t^{2}-80t+96=0

16(t^{2}-5t+6)=0

16(t-3)(t-2)=0

t = 3 sec. and t = 2 sec.

The ball will be at height 96 ft at time 2 sec. and 3 sec.

So the ball will be at height over than 96 = 3 - 2 = 1 sec.

8 0
2 years ago
Other questions:
  • Part A: Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625
    13·1 answer
  • a girl that is 5 ft tall casts a shadow 4 ft long. At the same time, a tree casts a shadow 24 ft long. How tall is the tree
    15·1 answer
  • Ramon's schools band is raising money for a trip to a band competition. They have raised $425 so far. They need to raise at leas
    11·1 answer
  • Tyrone makes a scale drawing of his backyard. The scale from the
    11·2 answers
  • Which expression is equivalent to 3/4x-1/4xy
    14·2 answers
  • What is 12x + 6y = 24 for ?
    10·2 answers
  • What is the difference of 23× and 9×
    12·1 answer
  • What is the area of the shaded region
    11·1 answer
  • Which of the following is a solution to the equation:
    8·1 answer
  • 100 students are interviewed to see which of biology, chemistry or physics they prefer.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!