we are given an equation 5z² + 9z - 2 = 0 and we are to find possible values of z by solving that equation
we will do the task by factorization method:
5z² + 9z - 2 = 0
we can break the midterm (+9z) in two terms such that when they are multiplied the result is -10z² i.e. equal to product of first and third term of the equation above and their sum is equal to 9z
5z² + 10z - z - 2 = 0
5z(z + 2) - 1(z + 2) = 0
taking z+2 common in the above equation
(z+2)(5z-1) = 0
we can write above equation as
(x+2) = 0 (5z-1) = 0
x = -2; 5z = 1
notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. now, we can set up an equation: cos (50 degrees) = 500 / x. use a calculator to find that the answer is 777.9.
its 42 degrees
its a proportionate line so it has the same angle on both sides.
which expression represents the current price of eggs after the two price changes?
1.63 + m - 0.12 = m + 1.51 for a dozen eggs