1. 2,359,412; 2,937,158; 3,356,000; 3,368,742
2. 2,009,604; 2,009,832; 2,103,425; 2,112,300
36 and 100 are both perfect squares
the factorization of x^2-y^2 is (x+y)(x-y)
substitute x^2 with 36x^2 and y^2 with 100y^2:
<span>36x^2-100y^2=
(6x+10y)(6x-10y) or
4(3x+5y)(3x-5y)</span>
The general form for a sine function is: y = a sin(b[x + c]) + d
The amplitude is given by a, so a = 1.
The period is given by 2*pi/b, so 2*pi/b = pi/2, and b = 4.
The variable c gives the horizontal shift, of which there is none, so c = 0.
Finally, the vertical shift of 3 units means that d = 3.
So the equation is:
y = sin(4x) + 3
Answer:
12^2x = 7^4 = 2401
7^2=12^x
We know that a^x * a^x = a^(x+x) or a^2x
Multiply each side by 12^x
7^2 * 12^x=12^x * 12^x
7^2 * 12^x = 12^(x+x)
Replace 12^x with 7^2 on the left hand side since they are equal
7^2 * 7^2 = 12^ (2x)
7^(2+2) = 12^(2x)
7^4 = 12^2x
2401 = 12^2x
Step-by-step explanation:
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