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bagirrra123 [75]
3 years ago
13

What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?

Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer: OPTION B.

Step-by-step explanation:

Given the endpoints of the diameter of the circle, we  need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the endpoints of the diameter of the circle:

(9, 7)\ and\ (-3, -5)

We can identify that:

x_1=9\\x_2=-3\\y_1=7\\y_2=-5

Then, we can substitute these values into the formula:

M=(\frac{9+(-3)}{2},\frac{7+(-5)}{2})\\\\M=(3,1)

Therefore, the center of the circle is: (3,1)

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Write these numbers in standard form.
pychu [463]

Answer:

Here are the answers I got I hope this is correct!! :)

Step-by-step explanation:

                                     A)  6 x 10^3

                                     B) 4 x 10^8

                                     C) 70 x 10^3

___________________________________________________________

                                                        I hope this helped you sorry for the first try c:

4 0
3 years ago
Need help asap, thanks!!!ヾ(⌐■_■)ノ♪
Lelu [443]

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

4 0
2 years ago
Solve this quadratic equation. x^2+2x-22=0
torisob [31]
X=⁻3 and x=1
because 
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
7 0
3 years ago
Twice a number decreased by seven is equal to 43
goblinko [34]

2x-7=43

2x=50

x=25

I hope I helped you with your solution! If you could give me brainliest, I would be very thankful!

4 0
3 years ago
Read 2 more answers
Ash buys 5 bunches of flowers. Each bunch contains 10 flowers. He gets 8 more flowers from his yard.
Semenov [28]

Answer:

5 x 10 + 8 = f

Step-by-step explanation:

The reason it is 5 x 10 + 8 = f, is because each bunch has 10 and Ash has five.

In order to find how many flowers he has in 5 bunches is to multiply by how many flowers each bunch has.

Then he gets 8 more flowers which is why it has +8 in the equation.

6 0
2 years ago
Read 2 more answers
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