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Volume  =  (1/2) (6)(8) (13)  =  24 * 13   =   312 ft^3    (good job !!!)

x + xy^2  =    250y

x -  xy^2  =  - 240y         add  these

2x  = 10y

x = (10/2) y

x = 5y                 sub this  back  into the first equation

5y + 5yy^2 = 250y           divide  though by 5y   

1 + y^2  =  50

y^2  = 49               take both roots

y =    -7            or     y  =  7 

x = 5(-7)  =  -35               x = 5(7)  =  35   

And   (x, y)  =  (0,0)  is a trivial solution

So

x =  35, 0 , 35

4 x (4 + 5) = (x - 2)(x + 4 + x - 2)

4 x 9 = (x - 2)(2x + 2)

36 = 2x² - 2x - 4

x² - x - 2 = 18

x² - x - 20 = 0

(x - 5)(x + 4) = 0

x = 5

x = -4 (can't be negative distance)

1 foot = 12 inches.

This means the other leg is: \(\sqrt{34^2-12^2} = \sqrt{1012} = 2\sqrt{253}\)

Which means the perimeter of this triangle is 

\(2\sqrt{253} + 12 + 34 = 46 + 2\sqrt{253} ≈ 77.81\)

So your answer is 46 + 2√253 inches, or aboutt 77.81 inches

Elimnating y, we get x^2 = 1225.  So the possible values of x are 35 and -35.

So... when Abby, , Carrie, and Dill are lining up Abby is not last and Dill comes before Abby so that means Abby can be in the 2nd or 3rd position BUT when it says comes before carrier that means is either in the 1st position or in the 3rd position but when he is in the 1st position Abby is in the last position so has to be the third person in line.

Yes they are and it is 1/2

For the first net, we have 8*6 = 48 and then we have another side of the net with the same area so it would be 48*2 = 96 and then we have the strip in the middle which is 8*3 = 24 and then we have the 2 triangles which would be 6*3/2 but since there are 2 it will just be 6*3 = 18 now you add it up all together and you get 138 as the surface area 

For the second net, we have 5*3 = 15 for the rectangle in the middle and then we have (3*5)*4 because of the 4 triangles we would get 60 and now you add it up and get 15+60 = 75 as the surface area

 

The pattern is as follows:

2, 6, 12, 20.

For each tower, we can see we have the X² + X   - where X is the tower number.

So, let's say it was the 3rd tower.

So, substituting for the equation, we get:

3² + 3 = 12

If we check, that is true. The 3rd tower does have 12 blocks. 

Let's find the total for the 99th tower.

Total = 99² + 99 = 9900

Therefore, the 99th tower has 9900 blocks. 

(Solved by a 12 y/o) 

Yes, they are similar

Solution:

The scale factor is one-half. This is because we need to multiply \(\Delta\)SRQ * 2 to get to the other triangle. 

Example:

If the sides of a triangle were 1/3 the size of the other triangle, the scale factor would be 3.

H = 0 when he smacks the water in a big ol' belly flop:

0=-16t^2+15t+12           

       a = -16    b = 15     c = 12   for the Quadratic Formula

\(t = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(t = {-15 \pm \sqrt{15^2-4(-16)(12)} \over 2(-16)}\)

 if you do the calculation,      t =    15/32   +  \(\sqrt{993}\) /32      = 1.4535 seconds

The smallest positive debt that can be paid is 49 - 35 = 14.

https://web2.0calc.com/questions/plz-help_6082

Nice!!!! I was just soo close 

Never Mind! 

My Work: 

T= Total bill     t = 42+25+10g, 

I just forgot to add 42+25, I figured the answer is 

t = 67+10g.

This equation is the solution to the problem. I appreciate the help and the effort though, have a nice day! 

not sure how to explain it but the answer is 5

(15- \sqrt(993))/(32) is your awnser after using the quadratic formula which is x = -b +- sqrt(b^2-4ac)/32 

Well, I am not sure how much GB she has used in the month but.... 42$ because of the phone and 25$ because of the GB per month she should have paid t=25+42.

The area of a parallelogram is A = Hight * Base so the Hight in the parallelogram is EG = 16 and the base is DC = 21 so to find the area it would be 16*21 = 336. So..... the area of the parallelogram would be 336 

plz help!

that answer isn't correct

no problem

Selected  values of  x               calculated value                              

 0                                                  0

.25                                                1

.33                                                2

.5                                                  4

.72                                                5

.75                                                6

  1                                               10

So  .....   7  values