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I have always been shit at algebra.X is 0
I have always been shit at algebra.X is 0
Paid for glowing awardI have dyscalculia (for math problem, counting coins) and dyspraxia (hard time with spatial / time localization, which is probably why I cannot read a map ? ) Someone asks me to spot a mountain on a map? I can't do it. I can see a mountain on a PICTURE. But map? can't.
I can't even read a simple map or count my coins properly (i also suck at maths, even simple ones).
isn't that false? what if a=b=c=1?Prove that, if a, b, c are natural numbers such that 1/a + 1/b + 1/c < 1, then 1/a + 1/b + 1/c ⩽ 41/42.
if a = b = c = 1, then 1/a + 1/b + 1/c = 1/1 + 1/1 + 1/1 = 1 + 1 + 1 = 3 which is not strictly less than 1isn't that false? what if a=b=c=1?
Did you lurk for a long time?cant believe op is gone
Looking at the divisors of 9 it's plain to see that the four factors must be ±1 and ±3. Ergo a + b + c + d = 4Here's a SAT problem I remember. If a, b, c, and d are all distinct integers such that (a−1)(b−1)(c−1)(d−1) = 9, what is the value of a+b+c+d? No cheating hehe
My answer: 8.Here's a SAT problem I remember. If a, b, c, and d are all distinct integers such that (a−1)(b−1)(c−1)(d−1) = 9, what is the value of a+b+c+d? No cheating hehe
Oh shit, missed the step where I was supposed to add the actual values of the variables. 4 in that caseMy answer: 8.
How I got my answer:
I started by finding all possible factorizations of 9 into four distinct integers; 1 , − 1 , 3 , − 3 1,−1,3,−3. I add the numbers, and the final result came to 8.
Yes 4 is correct. SAT problems are intentionally tricky in that way.Oh shit, missed the step where I was supposed to add the actual values of the variables. 4 in that case
the path traced by the centre is exactly the locus of points distance 2 away from and outside the square. this locus consists of four lines of length 8 parallel to the sides of the square and four quarter circles with radii of 2 "rounding the corners". All in all, the perimeter of the locus is equal to the perimeter of the original square + the circumference of a circle with radius 2 -- i.e., 4*8 + 2*pi*2 = 32 + 4*pi.Here's an SAT problem I missed. If a circle of radius 2 rolls around the outside of a square of side measuring 8, with the circle always remaining in contact with the square, what is the distance traveled by the center of the circle in one trip around the square? See diagram, the arrow is the direction the circle is rolling in:
View attachment 1369757
I'm altmaxxingDid you lurk for a long time?
Yes correctthe path traced by the centre is exactly the locus of points distance 2 away from and outside the square. this locus consists of four lines of length 8 parallel to the sides of the square and four quarter circles with radii of 2 "rounding the corners". All in all, the perimeter of the locus is equal to the perimeter of the original square + the circumference of a circle with radius 2 -- i.e., 4*8 + 2*pi*2 = 32 + 4*pi.