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Here <3

x^2  +  1  = 0        subtract 1 from both sides

x^2  = -1       take the ±  roots of both sides

x = ± √[ -1]        if you haven't dealt with complex numbers,  √ [-1]    is defined as " i"

So...

x = ± i

message her and find out

Wouldn't both our answers be correct?

x^4 - 36   can be factored as a difference of squares

( x^2  - 6) (x^2  +  6)     note that the first factor is also a difference of two squares

(x - √6 ) ( x + √6) (x ^2 + 6)     ........and it's completely factored [ in real terms ]....!!!!

12 = -1/5(x) + 12

It's obvious that when x = 0, the equation will be correct.....

12 = (1/5) (0) + 12

12  = 0 + 12

12  = 12

I am not one of those people, am I?

h(t)=−15t+12     "h"   will be greatest when t  = 0  →   h  = 12

And when it burns completely down, h  will = 0

So....the range is

0  ≤ h ≤ 12    " h is greater or equal to 0   and less than or equal to 12 "

We have the equation that

y =  [1 / (4p) ] x^2      where p  = the distance from the vertex to the origin = the distance from the vertex to the directrix.....so   p  = 4  and we have that

y = [1 /(4 *4) ]  x^2

y = ( 1/16)x^2

I feel your pain my friend.

What has happened in the past 24 hours that makes today horrible?

Sorry to hear that.

The angles will sum to 180°   ...so...

[ 5x + 9  ]  +  [ 2x + 11 ]  = 180    simplify

7x + 20  = 180   subtract 20 from both sides

7x   = 160   divide both sides by 7

x = 160/7 ≈ 22.86°

So....the frist angle  = 5(22.6) + 9  ≈ 122°    and the second angle ≈ 180 - 122  ≈ 58°

Not bad. But average I guess.