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The two numbers  are  12 and  18

Product =   12  x 18   = 216

The equation of a circle is written as \((x-h)^2+(y-k)^2=r^2\) where \((h,k)\) are the coordinates of the center of the circle and \(r\) is the radius of the circle.

The center of this particular circle is located at \((1,-4)\), so \(h=1\) and \(k=-4\). The radius is already given as 3.

Equation of circle: \((x-1)^2+(y+4)^2=9\)

I hope this explanation made sense to you!

3x=24

divide both sides by 3 to get x=8

uh. this is aops prealgebra 2 homework. If you're stuck, read the percent puzzles rules again. (I'm taking prealgebra 2 rn)

Did you look under your 2 other postings of the same question?

Find  the distance  between  A  and  B

sqrt  [ ( 3 - - 1)^2  +  (  2  - - 2)^2  ]  =  sqrt  [ 4^2  + 4^2 ]  =  sqrt (32)  

Take  1/2 of this  =    sqrt (32)   / 2  =    the radius of the  circle

Area =    pi   (sqrt (32)   / 2 ) ^2   =     pi  (32 / 4)  =     8 pi    units^2

Midpoint of  first  segment  =  

[ ( 2 + 0)/2  , (3 + 0) /2  ]  =    ( 1 , 3/2  )

Midpoint of second segment

[ (-5 + 6)  /2  ,  ( 3 + 0) / 2   ] =     ( 1/2  ,  3/2)

Since  the y values  of  these   midpoints are the  same, the slope of the lie  containing them   =   0 

Excellent, 4M   !!!!!

x      y

110 11
60 12
35 14
30 15
20 20
15 30
14 35
12 60
11 110

Just count them.

The area of a parallelogram is the base times the altitude/height

So 16 x B =256

The base is 16 meters.

x      y

110 11
60 12
35 14
30 15
20 20
15 30
14 35
12 60
11 110

Just count them.

Very nice, 4M   !!!!

Seats in first row =  30

Seats  in the last row = 30  + (30-1) (4)  =   30 + 29 (4)  =   146

Total  number of  seats  = 

(first row number  +  last row number )  (no. of rows  / 2)  =

(30  + 146)  ( 30  / 2)  =

(176) ( 15)   =

2640

That is incorrect. Thanks for the effort though!

NUmbers that sum to 8

0 and 8

1 and 7

2 and 6

3 and 5

4 and 4

The first number should be smaller than the next so trying them we have

008 (doesn't work bc it 8 which doesn't have a middle number of 0)

107 (107*3=321-16=305) doesn't equal 701

206 (206*3=318-16=602) works

So the original number was 206.

a)  Volume of the  new solid =   

Volume of original cylinder  - volume of  drilled out  cylinder  =

pi  * 6  (  3.5^2   -  2^2)    =    49.5 pi  cm^3 ≈  156 cm^3

b)  Area of  inner  surface  =  lateral surface area of   drilled out part = 

2 * pi  *  r  *  h   = 

2 * pi *  2  *  6   =      24 pi  cm^2   ≈  75 cm^2

Say the square side length is 16. The right picture would have an area of 16pi.

The area of the whole rhombus would be 64.

IF we made a square right around the star, we get a square with 4 quarter circles on each corner.

The square area would be 64 and the 4 quarter circles are just on the whole circle with a radius of 4, with an area of 16pi.

So the area of the cross would be 64-16pi.

Subtracting that from the original rhombus we get 64-(64-16pi) or 16pi.

They are the same.

Row 1 has 30 seats, row 2 has 34, and so on.

The rule is Row x has 30+4(x-1) seats.

So row 30 would have 30+4(29) or 146 seats.

The sum of Row 1 and 30 is the same as the sum of rows 2 and 29, 3 and 28, and so on.

There are 15 pairs

146+30=176

176*15=2640.

2640

60 =   a  +  d (30-1)

60  = a  + 29d        ⇒  a =  60  -29d     (1)

3rd term  =  a + 2d

The  sixth  term  =   a +  5d

And  we  know  that

2(a + 2d)   =  a + 5d          sub (1)  into this

2  ( 60 - 29d + 2d)  = 60  - 29d + 5d

2 ( 60  - 27d)  = 60  - 24d

120  - 54d  = 60  - 24d

120 - 60  =   54d - 24d

60  =  30d

d =  60  / 30     =  2

Guest the answer is 0, 9 not 9, 0.

I'm not sure if I'm right but I think it is the one on the left (unless having the same area is an option).

The polynomial of  degree 8  will be unaffected  by  its addition  to  the two polynomials of lesser degree

So...if we  add  these, the min  and  max will be  degree   8

If  we take the product of these.....the   min (and max)   will  be   degree   ( 8 + 7 + 7) =  22

The answer is 

x² - (3 + √5 + √2)x + 2 + √5 - 2√2 -√10 = 0

in expanded form

Using 1/16   leaves  15/16

 7/8 * 15/16 = 0.8203125  left    this is more than 3/4 (which is .75)