The peak of the wave is usually at zero... it is shifted to the right to/by pi/4
a = # apples
r = # rasberries = a +32 summed, they equal 108
2.25 a + 1.50 ( a+32) = 108 solve for a then r = a + 32
Area = 1/ 2 base * height
Base goes from -4 to 4 a distance of 8
Height goes from -3 to + 3 a distance of 6
h*g = (4x+1)(-4x+1) = -16x^2 +1 now put in x/3 for x
-16x^2/9 +1 and put in a common denominator of 9
(-16x^2 +9 ) / 9 and re-arrange
(9 - 16x2 ) / 9
You are given the law and all of the variables....just plug in and compute
9 x10^9 * 4.2 x a0^-9 * 1.10 x 10 ^-9 / (.005)^2 = ........ Newtons
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)
-x^2 + 4x -5 = 0 a = -1 b = 4 c = -5 plug in to the formula above to find the two values of x
I will asume the double headed horizontal lineas are parallel
then x+8 + 6x-58 + 90o = 180o (straight line)
now you can solve for 'x'
Angle up by Y 180 - 115 = 65
Angles of triangle = 180 180 = 65 + 4k+5 + 6k+10 Now you should be able to easily solve for k
Imaginary roots come in + - p airs the other root is 2 - 3 sqrt5 i
(x - 2 - i 3 sqrt5)(x-2+i 3 sqrt 5 ) Multiply this all out to get:
= x^2 -4x+49
You are welcome !
