All Answers 355970 Answers

=2.5

It's just three rectangles..... calculate each and add them together

This  is a parabola....the  domain is all real  numbers = (-inf, + inf)

The  min  y  value  = - 3  ....the  max  =  infinity

So....the  range  is  [ -3, infinity )

(9 x 6) + (6 x 31) + (12 x 13)

= 54 + 186 + 156

= 396 ft²

We  have  three rectangles

One  at  the top  =  13 * 12 = 156 ft^2

One in the middle   = (19 + 12) * 6  =    31 * 6  =  186 ft^2

One at the bottom  =  9 * 6   =  54 ft^2

Total area =   ( 156 + 186 + 54) ft^2 =  396 ft^2 

let n = nickels, and d = dimes

n + d = 44

5n + 10d = 295

5n + 10d = 295

5n + 5d = 220

---------------------

          5d = 75

            d = 15

n + d = 44

n + (15) = 44

n = 29 

He has 29 nickels. 

9% per  year  means that  every successive year it is worth  100  - 9   =  91%  of what it was the previous year

And  2010 - 2002   =  8 years

So

24500 (.91)^8   ≈  $11521

One rectangle at the top  =  25 * 23  =   575 ft^2

One  rectangle  at the bottom =  13 * 7  =  91 ft^2

Middle  rectangle = (  25 - 6)  *  ( 17) =   19 * 17  = 323 ft^2

Total area =  ( 575 + 91  + 323 ) ft^2 =  =  989 ft^2

Yes, that is correct. Thank you so much.

That is not correct. Thank you though.

a + n =  c/n               b - n  = c/n

a = c/n - n                 b =  c/n  + n

So

a  +  b  +  c  =  19 * 97

c/n - n  +  c/n + n  +  c =   19 * 97

2c/n  + c   = 1843

2c + cn  =  1843n

c ( 2 + n)  =  1843n

c  =  1843n / ( 2 + n)

When  n = 17, c =  1649

a =  c/n - n  = 1649/17  - 17  =  97 - 17  =    80

b=  c/n + n =  1649/17  + 17  =   97 + 17  = 114

a + b + c =   80  +  114   +  1649 =  97 * 19  =  1843

The line is y = -10/3*x - 5, so m + b = -10/3 - 5 = -25/3.

The value of a is 60.

Pleae help!

Please help!

Interior angles add up to 180 degrees.

This means: 
 

(11x - 28) + (7x - 8) = 180

18x - 36 = 180

18x = 216

x = 12

Let  the other endpoint  be  ( x, y)

And we  have that

(9 + x)  / 2  =   5               ( 7 + y) / 2  =  -11

9 + x  = 5*2                       7 +  y  =  -11*2

9 + x  =10                           7 + y  = -22

x = 10 -9   = 1                      y  =  -22  - 7  =  -29

(x, y ) =  ( 1, -29)

Midpoint of   PQ =  [  (9 + 7) / 2,  (6+ 9) /2 ] =  (8, 15/2)  = ( 8, 7.5)

Coordinates of  B =  (x, y)....so.....

(3 + x) / 2 =  8              (2 + y) / 2  = 7.5

3 + x = 8*2                     2 + y=   7.5*2

3 + x  =16                      2 + y= 15

x =  13                                y = 13

B = (13, 13)

Distance Formula = \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Im going to label the points for ease:

A(-6, 0) , B(2, 8) , C(6, 5) , D(-2, -3)

Now using the distance formula, we can find the dimensions of this rectangle. 

AB = \(\sqrt{128} = 8\sqrt{2} ≈ 11.31\)

BC = \(\sqrt{25} = 5\)

CD = \(\sqrt{128} = 8\sqrt{2} ≈ 11.31\)

DA = \(\sqrt{25} = 5\)

(of course, since it's a rectangle, you could just find the dimensions of two of the sides)

This means the area of the rectangle is = \(8\sqrt{2} \cdot 5 = 40\sqrt{2} ​​≈ 56.57 \)

And the perimeter is = \(2(8\sqrt{2} + 5) = 16\sqrt{2} + 10 ≈ 32.63 \)

Hope this helps, feel free to tell me if i'm wrong :)

2 log (a - 2b  )  = loga + log b

log (a - 2b)^2  = log (a*b)

This implies that

(a - 2b)^2  =  ab

a^2 - 4ab + 4b^2  = ab

a^2 - 5ab + 4b^2  = 0

(a - 4b) (a - b)  = 0

This implies that

a = 4b   ⇒   a/b  =  4      or

a - b  = 0  ⇒   a  = b  ⇒   a/b  =  1

s + 17 = 2s

17 = s

b + 28 = 2b

28 = b

7z = z + 54

6z = 54

z = 9