AlgebraGuru

6r^2 + 7r + 8 = 6 + 3r + 9r^2       rearrange  as

3r^2  -  4r   -  2   =  0       

Using  the Quadratic Formula.....the largest  value  of  r  =

4  +  sqrt ( 4^2  - 4 (3)(-2)  ]                    4  +  sqrt  [ 40 ]          4  + 2sqrt [10]              

_______________________  =            _____________  =   _____________  =       

                2 * 3                                                 6                                6   

2  +  sqrt [10]

_____________

          3                           

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I don't think that this is the full question.

Answer:

9/23

Step-by-step explanation:

Students who play at least 1 sport = 23-8

= 15

Students playing both sports = (11+13)-15

= 24-15

= 9

Probability = 9/23

Alternatively,

A venn diagram could be drawn

https://web2.0calc.com/questions/help-please_97650

The sum of the integers on Camy's list is 5866608

Can you add the ending part if the ...?

7 * 2 = 14

26-14 = 12

12/2 = 6 meters

Why's he not online anymore?

Step-by-step explanation

Given

Degree of f(x) = 3

Degree of g(x) = 5

Required

Degree of 2f(x) + 4g(x)

Analyzing both polynomials

f(x)

2f(x) means 2 * f(x)

Since 2 is a constant

Multiplying f(x) by 2 will result in a polynomial with a degree of 3

Hence 2f(x) has a degree of 3

g(x)

4g(x) means 4 * g(x)

Since 4 is also a constant

Multiplying g(x) by 4 will result in a polynomial with a degree of 5

Hence 4g(x) has a degree of 5

Having said that;

When 2 polynomials of different degrees are added together, the degree of the result will be the higher degree of both polynomials;

This means that;

Adding a polynomial of degree 3 and another of degree 5 will result in a polynomial of degree 5.

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From https://web2.0calc.com/questions/rectangle-abcd-is-the-base-of-pyramid-pabcd-if-ab

This is a funny lookin pyramid! The formula for the volume of this pyramid is the same as if "P" were above the center of the base:  volume = (1/3)(area of base)(height)

This helped me verify that.

Draw AC.

Now look at triangle ABC.  From the Pythagorean theorem....

AC2   =   22 + 32   =   4 + 9   =   13

AC is in the same plane as AD and AB, so PA is perpendicular to AC.

Look at triangle PAC.  From the Pythagorean theorem again....

AC2 + PA2  =  52

13  +  PA2  =  25

PA2  =  12

PA  =  √12

PA  =  2√3

And....

volume of pyramid  = (1/3)(area of base)(height)

                               =  (1/3)(  2 * 3  )( PA )

                               =  (1/3)(6)(2√3)

                               =  4√3     cubic units

I just remembered how my math teacher explained that the volume of an oblique cylinder is the same as the volume of a right cylinder (with the same height and base).

Imagine a stack of pennies. If you line the stack straight up, it is a right cylinder. And if you lean the stack over, it is oblique. But the height, area of the base, and the volume stays the same.

And in this case, imagine a stack of square pieces of cardboard that get smaller as you go higher. You can stack the squares up to form a right pyramid, or you can slide them to look like the pyramid in this problem. The volume stays the same. 

According to the problem A is the right angle. 180 - 90 = 90. 90/2 = 45 degrees according to me.

Answer

B = 45 degrees

C = 45 degrees

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