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jok3333 [9.3K]
3 years ago
10

The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is

Mathematics
1 answer:
Elden [556K]3 years ago
6 0

The center of the circle is the midpoint of the diameter.

The 'x' coordinate of the midpoint is  (1/2) (6 - 2) = 2
The 'y' coordinate of the midpoint is  (1/2) (7 + 1) = 4
The center of the circle is the point  (2, 4) .

The length of the diameter of the circle is the distance
between the endpoints of the diameter.

The distance between (-2, 1) and (6, 7) is

                              √ (8² + 6²)

                           = √ (64 + 36)

                           = √ 100  =  10 .

The radius of the circle is      1/2 of 10  =  5 .


Now, the equation of any circle is

        (x - [x of the center])² + (y - [y of the center])² = (radius)² .

and we have all the numbers now.

                    (x - 2)² + (y - 4)²  =  (5)² .

I'm very happy to see that this equation is actually
one of the choices !     I'll bet you are too.

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bija089 [108]

Answer:

  • a) 6.5 seconds
  • b) 13 seconds
  • c) 679 ft

Step-by-step explanation:

<u>Given function:</u>

  • h(t) = -16t^2 + 208t + 3

a) <u>Maximum height is the vertex.</u> The ball reaches the maximum after:

  • h = -208/2(-16) = 6.5 seconds

b) <u>Time the ball was in the air:</u>

  • -16t^2 + 208t + 3 = 0

Solving we get approximately t = 13 seconds

c) <u>Maximum height is at vertex, we found t above:</u>

  • h(6.5) = -16(6.5)^2 + 208*6.5 + 3 = 679 ft
3 0
2 years ago
-2|x-4|+7=-3 how do i solve this absolute value problem
ira [324]
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
4 0
3 years ago
What is the simplest form of 2 sq root 3/ sq root 6
Shkiper50 [21]

Answer:

2/√2

Step-by-step explanation:

We are to solve this surd question

2(√3)/√6

2(√3)/√2×3

2(√3)/√2×√3

Divide both by√3

2/√2

We will have to leave the answer in surd form

So the final answer is 2/√2

8 0
3 years ago
SOLVE: 6 and 1/12 divided by 4 and2/5​
Firdavs [7]

Answer:

1 and 101/264

Step-by-step explanation:

:)

(:

:)

(:

Hope this helps!

-Josh

<3

(brainliest?)

7 0
2 years ago
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