Ernest Hakey

Nerd, retired pcb designer, MIT '79

[Ernest Hakey @ernest_hakey]

@itxMaggei Simplify the first equation:
2x=2y
x=y
Therefore since both x and y are identical,
xy=20=x²=y²

Take it further. What are x and y?
x=y=sqrt(20)=sqrt(4*5)=sqrt(4)*sqrt(5)
x=y=[2*sqrt(5), -2*sqrt(5)]

[Ernest Hakey @ernest_hakey]

@RachieRach429 Well, yeah... 😁

[Ernest Hakey @ernest_hakey]

@whittomd @StockItOver @hcat3h Yep, Derek is correct. Lots of these sorts of posts try to get more engagement by using things that a lot of folks don't know about the details of the order of operations. (BS in Math from MIT.)
The ones with a ! at the end annoy me - a lot of folks don't know about factorials.

[Ernest Hakey @ernest_hakey]

@veganxfairy Because cuteness gets likes!

[Ernest Hakey @ernest_hakey]

@RachieRach429 Any day that ends in y...
is a good day for a freckled thigh.
But in any month that end in -ber,
double thighs are de rigueur!

[Ernest Hakey @ernest_hakey]

@Alexandriathred Beautiful, thanks for brighteníng our day!

[Ernest Hakey @ernest_hakey]

@lyssasphere Hey, wassup?

[Ernest Hakey @ernest_hakey]

@lunadreaamy 127

[Ernest Hakey @ernest_hakey]

@linadreaamy Typo, the > was supposed to be a .

[Ernest Hakey @ernest_hakey]

@linadreaamy The equilateral small triangle has to have three interior angles, label them y, of 60°. Label the unlabeled interior angle of the large triangle z.

40°+y+z=180°, 40°+60°+z=180°, therefore z=80°.
x+70°+80°=180°, therefore x=30°>

[Ernest Hakey @ernest_hakey]

@medoyia 5²+5²=50
6²+6²=72
3²+3²=18

[Ernest Hakey @ernest_hakey]

@farman4x So many clueless people.
Y²+60=181
Y²+60-60=181-60
Y²=121
Y=11 or -11, since 11²=121 and (-11)²=121

[Ernest Hakey @ernest_hakey]

@Mimiiben1 3+4=7
7+8=15
15+16=31
31+32=63

[Ernest Hakey @ernest_hakey]

@DaveHancox1 @SqSehrish Dave is correct. Source: me, I have BS in Math from MIT and I approve this answer. The original question intentionally puts the factorial at the end so that people who don't know about factorial notation think it is just punctuation.

[Ernest Hakey @ernest_hakey]

@DaveHancox1 @Pinoy_hakdog @SqSehrish Lots of these math questions intentionally use a factorial as the last term so that folks who aren't math nerds like us think it's just punctuation. Good for getting lots of wrong answers and thus more engagement. Sigh.

[Ernest Hakey @ernest_hakey]

@farman4x 14
First do all the square roots, which count as exponents.
=> 12+8÷4
Second so all multiplication and division left to right.
=> 12+2
Finally do all addition and subtraction left to right.
=> 14

[Ernest Hakey @ernest_hakey]

@farman4x 15 or -15 both work
y²/5=45=3²*5
multiply both sides by 5
y²=3²*5*5=3²*5²=(3*5)²=15²
y=15
but a negative number squared becomes positive, so
y=-15 is also a solution.

[Ernest Hakey @ernest_hakey]

@IanHero42 @miradreaamy I think you had an adjacent number typo and hit the 9 instead of the 0.

[Ernest Hakey @ernest_hakey]

@lyssasphere Your wish is my command! Sent a follow request on IG. 🙂

[Ernest Hakey @ernest_hakey]

@Knightley_22 @AlexaBliz_ A hole that goes through counts as 2 - 1 hole in the fabric of the front of the sweater plus 1 hole in the fabric of the back of the sweater. (7*2)=14, plus neck, waits, and 2 wrists. 18 is correct. If you had to repair the "7" through holes with patches, you need 14 for that.🤷‍♂️