The number of blocks will be the hypotenuse of this right angle:
I NORTH
I
I
I
I
- - - - - - - - - - EAST
8²+6²= 100 & North-East =√100 = 10 blocks
9^1/3 * 3^x = 27^4/5
Rewrite 9 as 3^2
(3^2)^1/3 * 3^x = 27^4/5
Multiply the exponents in the first term:
3^2/3 * 3^x = 27^4/5
Use power rule to combine exponents:
3^(2/3 +x) = 27^4/5
Rewrite the 2nd term:
3^(2/3 +x) = (3^3)^4/5
Set the exponents only to equal:
2/3 + x = 3(4/5)
Solve for x:
simplify the right side:
2/3 + x = 12/5
Subtract 2/3 from both sides:
x = 26/15
Easily we can use formula y=(x-h)^2 +k
as equation of a parabola if vertex was (h,k):
Y=(x-1)^2 + 3
and maybe node (2,6) is incorrect for this vertex of a parabola!!!
the answer is 16 because .80 times 20 is 16
