I think it's (3) Calculate the nth term rule of the sequence
(I think
the answer to the equation is 8xy+36x+6y+9)
16✔️75
16✔️25 • 3
16 • 5 • ✔️3
80✔️3.
The radical can be simplified to 80✔️3.
The triangle has sides a,b,c such that
a = 2*sqrt(5), b = sqrt(5), and c = 2*sqrt(10)
Square each value
a = 2*sqrt(5)
a^2 = (2*sqrt(5))^2
a^2 = 2^2(sqrt(5))^2
a^2 = 4*5
a^2 = 20
b^2 = 20 for similar reasons as side 'a'
c = 2*sqrt(10)
c^2 = (2*sqrt(10))^2
c^2 = 2^2*(sqrt(10))^2
c^2 = 4*10
c^2 = 40
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Using the pythagorean theorem, we see that
a^2 + b^2 = c^2
20 + 20 = 40
40 = 40
So the initial equation a^2 + b^2 = c^2 is true making the triangle with sides a,b,c defined above to be a right triangle
#3 is the answer
4x+5x is 96 4*8 is 32 5*-3 is -15 32+-15 is 17
