XxmathguyxX

Answer:

5.4

Solution:

12% of 45

method 1:  1% of 45 is .45, so .45x12=5.4

method 2:   10%=4.5.  2%=10%/5=0.9.  4.5+0.9=5.4

hm...

height 1 is not always less than height2+height3...

if an iscoceles triangle is really tall, then.... yeah...

wait a sec......

ABCAABBCC is not one rep,

look closely,

ABCAABBCCABCAABCC

one b and 2 b's

correct me if i am wrong but aren't there infinite places to put a dot, like at the 5.66666666666666 point mark or 4.508971893719038470 mark?

ohno! if your hw is already due before i said this, then sorry! :'(

             so there are 3 choices:

1:  \(xy2022\)

    for this one, x can be 1-9 and y can be 0-9.    9x10=90 choices

2: \(2022xy\)

    for this one, x and y can be 0-9, so 10x10=100 choices

3: \(x2022y\)

   for this one, 9x10=90 choices

total=90+100+90=280 choices!

\(x=735\)

\(735a=perfect\) \(square\)

well, \(735=7\times105=7\times5\times3\times7\)

\(735=3\times5\times7^2\)

in order to get a perfect square, you will need a 3 and a 5 because every number in the prime factorization needs to have a square.

\(\sqrt{735\cdot15}=\sqrt{3^2\cdot5^2\cdot7^2}=3\cdot5\cdot7=105\)

notice that you can take a shortcut by multiplying 3x5x7.

I'll let you wonder why, but it works all the time!

prime factorization:

25=5x5

complete!

no it is not prime

25= 5x5 @ guest it can be divided by 5

ok, so

6x - x^2 = k

everytime x is increased by 1, 6x is increased by 6

everytime x is increased by 1, x^2 is increased by 2x+1, since,

\((x+1)\times(x+1)\)

\(=x(x+1)+1(x+1)\)

\(=x^2+x+x+1\)

so we added 2x+1

I'll let you figure this out 

p.s also trial and error will work just as fine

would you mind explaining what R4 and R3 is?

Since, \(\overline{DC}\) is parellel to \(\overline{AB}\), \(\angle{DCA}\) is the same as \(\angle{CAB}\).

\(\angle{ACB}=180-(40+73)\)

\(=180-113=67\)

so 67 is your answer!

\(2x^2=4x+9\)

\(2x^2-9=4x\)

\(2x^2-4x-9=0\)

\(x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2}\)

\(x_{1,\:2}=\frac{-\left(-4\right)\pm \:2\sqrt{22}}{2\cdot \:2}\)

\(x_1=\frac{-\left(-4\right)+2\sqrt{22}}{2\cdot \:2},\:x_2=\frac{-\left(-4\right)-2\sqrt{22}}{2\cdot \:2}\)

\(x=\frac{2+\sqrt{22}}{2},\:x=\frac{2-\sqrt{22}}{2}\)

In this case, it is

\(x=\frac{2+\sqrt{22}}{2}\)

2+22+2=26

so 26 is your answer!

finally i can breath....

i've been holding my breath for 10 minutes now

THANK YOU CPHILL for adding proof to my solution. Also thanks to @Builderboi for providing an answer. Thanks ya'll!

let's see what cphill gets.....

*getting so nervous*

*on the brink of extiction*

*super fast breathing*