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y = x^2 + 2x + 8

y = (x+1)^2 + 7

So our vertex is -1, 7 (-1 + 1 = 0, and 7 = 7)

=^._.^=

For the other regular polyhedron, I count 18 edges.

wait! I'm a doofus, add all the given numbers and divide by 4 ( 4 because you are taking into account the numbers excluding the one you are looking at)

THAT would get you 66

37 + 29

this is quite an interesting problem indeed, I apologize for not explaining, it's new to me as well!

https://web2.0calc.com/questions/someone-help-me-please_2 

check this out, it will help you greatly :)

try 5/6 for the first fraction question. Let me know what happens.

Not to be rude, but thanks for the solution off of Algebra.com. 

I need to know where we got 66 from!

https://web2.0calc.com/questions/hyperbola-help_1

I think this has been answered before, let me know if I'm wrong :)

The perpendicular bisector of a line segment goes through the midpoint and has slope which is the negative reciprocal of the slope of the line segment.

So, a point on the perpendicular bisector is ((1+7)/2, (5-1)/2) = (4, 2)

Slope of MN = (-1-5) / (7-1) = -6/6 = -1

Slope of perpendicular bisector = -1(1/(-1)) = 1

Equation of perpendicular bisector: y - 2 = 1(x - 4)

y = x - 2

Let the numbers be a < b < c < d < e

Then the smallest two, a and b, must have sum 16,

a + b = 16

and the largest two, d and e, must have sum 37,

d + e = 37.

Then the middle number c is equal to 66 - (a+b) - (d+e) = 66 - 16 - 37 = 13.

 OK. So, the two smallest numbers a and b give the sum of 16, and the third number is 13.

It means that the next sum, 20 (see the condition) is a+c.

It can not be nothing else.

If a + c = 20 and c = 13, then a = 20 - 13 = 7.

It implies b = 16-7 = 9.

So, the first three numbers are a = 7, b = 9 and c = 13.

OK. Now we can make the similar analysis from the other end.

So, the two largest numbers d and e give the sum of 37, and the third number in the descending order is 13.

It means that the next from the largest sum, 34 is e+c.

It can not be nothing else.

If e + c = 34 and c = 13, then e = 34 - 13 = 21.

It implies d = 37-21 = 16.

Thus the numbers are 7, 9, 13, 16 and 21.

Their product is 275184.

hope this helps!

Thanks for explaining, your answer is right :)

hope this helps, the answer will be 3 due to this theorem.

Each tetrahedron has 6 edges, so the answer is 30 + 20*6 = 150.

oops I made a mistake

Thanks for posting CPhill :D

and he divided by 40 because our conversion factor of feet to inches is 1:12, so we have 10*12=120, 3/120=1/40, so we divide by 40

how to find the variance:  variance is calculated by taking the differences between each number in the data set and the mean, then squaring the differences to make them positive, and finally dividing the sum of the squares by the number of values in the data set.

so we have the mean as (147+141+120+124+128)/5=660/5=132

so we have 132-147=-15, 132-141=-9, 132-120=12, 132-124=8, 132-128=4

(-15)^2=225, (-9)^2=81, 12^2=144, 8^2=64, 4^2=16

so 225+81+144+64+16=530

530/5=106

check this please

Why u divided by 40??

They're  all  unnecessarily  difficult....until find out that many aren't    (LOL!!!)

Note  something  that makes  this easier

10ft = 10 * 12 in =  120   in

So

3 in  /10 ft  =  

3 in / 120 in  =    1   / 40    means  that the length on the drawing  is  1 / 40  th   that of  the  actual length

So...now it should be easy

40 ft ( 1/40) = 1 ft  on the  drawing

3.5 ft ( 1/40) =  3.5 /40   = .0875 ft   on the drawing

6.6 (1/40)  =  .165 ft on the  drawing

40ft/10ft=4

4*3=12

3.5 ft/10=0.35

0.35*3=1.05

6.6ft/10=0.66

0.66*3=1.98

cos^-1(0.3)=72.54239...

90-72.54239=17.5 (rounded)

This was an unnecessarily difficult problem, but thank you very much for the continuous assistance :)