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Rudik [331]
3 years ago
8

Please help do not answer if u don't know the answer

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

4 0
4 years ago
In a circle, an angle measuring 2π radians intercepts an arc of length 16π. Find the radius of the circle in simplest form.
sdas [7]
I believe if i am understanding the question right the radius=4
7 0
3 years ago
Solve the equation <br> (If possible please show work)
deff fn [24]

Answer:

x=-3

Step-by-step explanation:

So we have the equation:

-2(-x-4)+3=-7-4x

First, distribute the left side:

-2(-x)-2(-4)+3=-7-4x\\2x+8+3=-7-4x

Add values on the left side:

2x+11=-7-4x

Add 7 to both sides. The right side cancels:

(2x+11)+7=(-7-4x)+7\\2x+18=-4x

Subtract 2x from both sides. The left side cancels:

(2x+18)-2x=(-4x)-2x\\18=-6x

Divide both sides by -6:

(-6x)/-6=18/-6\\x=-3

Therefore, x equals -3.

8 0
3 years ago
Read 2 more answers
US$ 54000 is to be shared among Al, Bob and Chad in the ratio of 2: 3: 4. How much will Bob get?
Galina-37 [17]

Answer: If he gives Al 42, then he gives Bob 21 and Carl 84. Do those add up to 210? 42 + 21 + 84 = 147–that’s too small! Go bigger.

Step-by-step explanation:

So Since (D) is odd, shoot right to (E). If he gives Al 60, then he gives Bob 30 and Carl 120. Does that add up to 210? Yes, yes it does. 60 + 30 + 120 = 210.

6 0
3 years ago
After collecting the variables on the left side of the equation, the coefficient of the x term will be?
Kipish [7]

Answer:

56

Step-by-step explanation:

3 0
3 years ago
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