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
masya89 [10]
3 years ago
10

Write the standard form of each circle Ends of diameter :(-16,-8) (12,4)

Mathematics
1 answer:
kherson [118]3 years ago
7 0

The ends of the diameter are  (-16, -8) and (12,4)

The point midway between those points is

        x = (1/2) (-16+12) = (1/2) (-4)  =  -2
      
       y = (1/2) (-8+4) = (1/2) ( -4)  =  -2

So the point (-2, -2) is the center of the circle.


The ends of the diameter are  (-16, -8) and (12,4)

The distance between those points is . . .

         the square root of (12+16)² + (4+8)²  =

                   square root of  (28)² + (12)² =

                   square root of  (784 + 144) =

                   square root of    (928)    

The diameter of the circle is  √928 ,
             so its radius is (1/2)√928  =  √232 .

Now that we know the center and the radius,
we can write the equation of the circle:

               <em>(x + 2)² + (y + 2)²  =  232 </em>




         



You might be interested in
What are 100.000 digits of pi
Blababa [14]

Answer:

3.14159265359.

Step-by-step explanation:

I just learned about this

hope it helps.

7 0
3 years ago
Read 2 more answers
Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
AABC has vertices at (1,5), (4,8), and (16, 12). A second triangle, ADEF, has vertices at (4, 20), (16, 32), and (64, 48). If th
navik [9.2K]

Answer: the first one

Step-by-step explanation:

(x,y)->(4x, 4y)

5 0
3 years ago
There are two question please help.
natima [27]
7 , it’s x = 12 1/3, or in decimal form, 12.33. And at 8, it’s x = -6/11, or in decimal form, -0.54
5 0
3 years ago
Help pleaseeeeeeeeeeeeeeeeeeeeee
juin [17]

Answer: draw a diagonal line

Step-by-step explanation:

like this:

since it's going up, it's a positive slope

3 0
3 years ago
Read 2 more answers
Other questions:
  • I need his done its math helppp
    10·1 answer
  • SKSKSKSKKSKSKSKSKSKSKSKS​
    14·1 answer
  • Why does it only have a value of 1
    7·2 answers
  • A way to write numbers by showing the value of each digits
    11·1 answer
  • Whats the quotient of 8453 and 35?
    7·1 answer
  • 7) Ann uses the equation y = 8.25x to calculate the total cost y in dollars for x
    14·1 answer
  • An angle that measures between 90 and 180° is called?
    9·1 answer
  • Which figure is a radius of F? worth 20 points
    5·2 answers
  • Which expression is equivalent to 2(y + 11)<br><br> 2y + 22<br> 2y + 11<br> y + 22
    10·2 answers
  • IM2: 4.2.3, 4-86 d<br><br> Solve for X
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!