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4 years ago

QUICK PLEASEE NO EXPLANATION NEEDED

Mathematics

1 answer:

denpristay [2]4 years ago

4 0

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➷ x=-4

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DOGE

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9. Two points in the plane, A(−3,8) and ????(17,8), represent the endpoints of the diameter of a circle.

kherson [118]

Answer:

a) (7,8)

b) r = 10

c) $(x-7)^2+(y-8)^2=100$

Step-by-step explanation:

a) Given the endpoints the diameter of the circle as A(-3,8) and B(17,8)

we should realize that the center of the circle lies exactly at the midpoint of these two points. let's denote the midpoint as $(x_m,y_m)$

$(x_m, y_m) = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$(x_m, y_m) = \left(\dfrac{-3+17}{2},\dfrac{8+8}{2}\right)$

$(x_m, y_m) = (7,8)$

this is the coordinate of the center of the circle.

b) The radius of the circle can be easily found by using the distance formula between the center point and either of the two endpoints of the diameter.

the general distance formula is:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

in our case the equation changes to: (selecting the centre and point B)

$r = \sqrt{(x_m-x_2)^2+(y_m-y_2)^2}$

$r = \sqrt{(7-17)^2+(8-8)^2}$

$r = 10$

side note: there are more alternate ways to find the radius for e.g (you can use the distance formula between the points A and B and that'll give you the length of the diameter which you can divide by 2 to get the radius) OR (you don't need to use the distance formula at all since in this particular case all the coordinates lie on the same horizontal line, so by simply subtracting the two x-coordinates of the center and either of A or B)

c) the ingredients needed to make the equation of the circle are the

coordinates of the center: $(x_m,y_m) = (7,8)$
radius of the circle: $r = 10$

we can put this in the formula of the circle:

$(x-a)^2+(y-b)^2=r^2$

in our case the equation changes to:

$(x-x_m)^2+(y-y_m)^2=r^2$

$(x-7)^2+(y-8)^2=(10)^2$

$(x-7)^2+(y-8)^2=100$

this is the equation of the circle!

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3 years ago

What is nine minus one third?

Katarina [22]

Answer:

$\frac{26}{3}$ = $8.6...$ = $8\frac{2}{3}$

Step-by-step explanation:

You multiply 9 x 3=27

(leave 1/3 alone, it's already good)

you have a 27/3-1/3

(subtract those)

your answer is 26/3

(see answer above for decimal form and mixed fraction form)

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2 years ago

Show me what repeated subtraction looks like for 93 divided by 3

Vanyuwa [196]

93 - 3 = 90 
90 - 3 = 87
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 84 - 3 = 81
81 - 3 = 78 
78 - 3 = 75 
75 - 3 = 72 
72 - 3 = 69 
69 - 3 = 66 
66 - 3 = 63 
63 - 3 = 60 
60 - 3 = 57 
57 - 3 = 54 
54 - 3 = 51
 51 - 3 = 48 
48 - 3 = 45 
45 - 3 = 42 
42 - 3 = 39 
39 - 3 = 36 
36 - 3 = 33
 33 - 3 = 30 
30 - 3 = 27 
27 - 3 = 24 
24 - 3 = 21 
21 - 3 = 18 
18 - 3 = 15
 15 - 3 = 12 
12 - 3 = 9
 9 - 3 = 6
 6 - 3 = 3 
3 - 3 = 0

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3 years ago

WILL MARK AS BRAINLIEST!!!!!

natulia [17]

The answer is Y=2x+1 :)

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3 years ago

A chairman is to be randomly selected from six people: A, B, C, D, E, and F. Find the probability that B is not selected.

Alborosie

5/6
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3 years ago

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