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
nadezda [96]
3 years ago
13

Find an equation of the circle and sketch it if it has:

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

(x+2)^2+(y-4)^2=16

Step-by-step explanation:

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is 4.

We know that the circle is tangent to the X axis at (-2,0)

That means the x coordinate of the center has to be -2, as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is (-2, 4) and a point on the edge of the circle (the tangent point) which is (-2,0). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius. When we put the numbers in: we get (x-(-2))^2+(y-(4))^2=4^2 which can be simplified into (x+2)^2+(y-4)^2=16 which is the answer.

You might be interested in
Which of the following is a vertex of the figure shown below after a reflection in the y axis?
konstantin123 [22]

Answer:

A.

Step-by-step explanation:

( 5,0)

When x axises is a reflection in the y axis

5 0
2 years ago
The temperature after a decrease of 5°F from a temperature of −5°F.will have a result of zero?
ycow [4]
No it will be -10 degrees
4 0
2 years ago
Use the grouping method to factor the polynomial below completely.
miv72 [106K]

Answer: C. (x2 - 5)(x + 3)

Step-by-step explanation:

8 0
3 years ago
The cost of 5 kg of potatoes is £3.20
Tom [10]

Answer:

12kg=7.68

1.5=87

Step-by-step explanation:

I found the cost per kg

4 0
2 years ago
Find the product in simplest form.
Gennadij [26K]
The answer is B.9/14
7 0
2 years ago
Read 2 more answers
Other questions:
  • How do you solve this problem: 2y(6 - 1)(6 - 1) = - 200
    13·2 answers
  • Todd has 21 white tiles dnd some black tiles to make a mosaic. The mosaic has a total area of 144 Square centimeters. Each tile
    6·1 answer
  • Chad jogs 4 2/5 miles in 1/2 hour. What is his average speed in miles per hour?
    14·1 answer
  • An annual family membership pass to the science museum is discounted by the amount shown on the tag if a family membership pass
    7·2 answers
  • use counters model to solve this problem.eva has 2 apples in her basket.She eats 1 apple and gives 1 to her friend.How many appl
    13·2 answers
  • What is the area of the right triangle shown<br>below?<br>17<br>8​
    15·1 answer
  • SOMEONE PLZ HELP FAST AND SHOW UR WORK ILL MARK BRAINLIEST IF YOU SHOW UR WORK AND ANSWER CORRECTLY
    7·1 answer
  • LOOK AT PICTURE look at picture
    13·1 answer
  • THIS IS VERY URGENT AND I WILL GIVE BRAINLIEST
    6·1 answer
  • Covert 35/6 in to a mixed number​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!