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I am not being mean.

You are just a part of the generation that every time anyone says anything you do no like you accuse them of bullying or being mean.

If someone does not spoon-feed you it is because they are mean. That is your juvenile take on the world.

It is ridiculous.

If you already knew the answer why did you ask it?  

What determines how many roots an equation has?

Its the... DISCRIMINANT, also known as b^2-4ac!

If the discriminant < 0, there are no real solutions. If the discriminant = 0, there is 1 real solution! However, if it is >0, there are two real solutions, as desired! Therefore, we have a=2 and c=6, so b^2-48>0, or b^2>48, so $b>\sqrt{48}.$

4 ( x^2 + 1.5 x )           - 3      'Complete the square for x'

4 ( x + .75)^2       - 2.25      - 3

4 ( x + .75)^2   -  5.25                continue.............

By vertical angles, w=56˚. 

Draw a line parallel to each of the vertical lines that passes through the middle vertex.

Then

So y=180-68-56=x.

so w=56

y=x=56

b=68

Pangolin14

Hello Guest, 

Please note that CPhill did make a mistake, and I didn't understand it either.

Thus I provide a new solution for this problem:

Here is my image at this link:

m will be  1/2 of b    

   2m = b

When completing the square yo wil have to subtract m^2  from the equation to keep it balanced

1/3 - m^2 = 1/10

- m^2 = 3/30 - 10/30

m^2 =  7/30

m = - sqrt 7/30     (we are told b is negative)

                            check   :          (x - sqrt (7/30) )^2    -   7/30   + 1/3                       -7/30  + 10/30  = 1/10

                                                   x^2 - 2 sqrt(7/30) x + 7/30    - 7/30 + 1/3 

                                                    x^2 - 2sqrt(7/30)x    + 1/3  

So b = 2m =  - 2 sqrt (7/30) 

total songs length /100 = 180 

total songs length = 18 000

add one song

total songs length₂ / 101 = 181

18281

18281 - 18000 = 281 seconds

From the formula for the volume of a pyramid, the volume of CFAH is 3/4*1/3*4*5*6 = 30.

By Vieta's formulas, r + s = -4 and rs = 12.  Squaring the equation r + s = -4, we get r^2 + 2rs + s^2 = 16.  Then r^2 + s^2 = 16 - 2rs = 16 - (2rs) = 16 - 2(12) = -8.

The solution is  = 8/5, y = 8/3, and z = -8.

Take are of the whole rectangle (like the corner isn't missing)     then subtract the missing trapezium corner

6 x 13          -    6 x 1/2(3+6)   = .......   in ²

asinus made a small math mistake    b^2 = 36   not   9     ( b is 6    not 3)

using the Quadratic Formula as asinus showed the answer    x =  3/2 +-  sqrt(7) / 2

So what's the polynomial function f(x)=

x(x-3i)(x+3i)(x-4+i)(x-4-i)

which , when multiplied through =

x^5 - 8 x^4 + 26 x^3 - 72 x^2 + 153 x

Angle 1    and angle   7 are supplementary

13x+9     +     5x+9   = 180        find the value of x

   then you can calc the value of angle 7     which is the same value as angle 6

Solve 6x = 2x^2 + 1

Hello Guest!

$2x^2-6x+1=0$

a         b        c 

$x = {-b \pm \sqrt{b^2-4ac} \over 2a}$

$x = {-3 \pm \sqrt{9-4\cdot 2\cdot 1} \over 2\cdot 1}$

$x=\frac{1}{2}\cdot (-3\pm 1)$

$x_1=-1$

$x_2=-2$

  !

Find all real values of x that satisfy the equation (x^2 - 82)^2 = 25.

Hello Guest!

$\color{BrickRed}(x^2 - 82)^2 = 25\\ x^2=a\\ (a-82)^2-25=0$

$(a-82+5)(a-82-5)=0\\ a_1-82+5=0\\ a_1=77,\ \ \color{blue}x_{1,2}=\pm \sqrt{77}\\ a_2-82-5=0\\ a_2=87,\ \ \color{blue}x_{3,4}=\pm \sqrt{87}$

$x\in\{-\sqrt{87},\ -\sqrt{77},\ +\sqrt{77},\ +\sqrt{87}\}$

  !

You are meant to be trying to understand.  

You are not meant to be just copying and answer with no understanding at all.

In the little triangle, what is the size of the unmarked angles?  Why?

To be honest, there is not enough info to answer this question at all.

Those two lines that look parallel MUST be parallel to get an answer but they are not marked as such.

You are expected to assume they are parallel   But you should not be expected to do that.

It is a stupid,  imprecise question.

So is 28 the full answer??

Assuming the two horizontal lines are parallel

180 - 67 - 85 = ?