Answer:
E. 1/2
Step-by-step explanation:
Divide by 2, then make use of the Pythagorean identity for sine and cosine.
sin(x)^2 +cos(x)^2 = 2a
1 = 2a . . . . . . . sin²+cos²=1
1/2 = a
Answer:
Part 5) The roots are x=-3 and x=1.5
Part 6) The solution on a number line is the shading area below of the line y=-1/3 (close circle)
Step-by-step explanation:
Part 5) Find the roots of the parabola given by the following equation
we know that
The formula to solve a quadratic equation of the form is equal to
in this problem we have
so
substitute in the formula
therefore
The roots are x=-3 and x=1.5
Part 6) Solve the inequality and graph the solution on a number line.
Solve for y
Subtract 12 both sides
Multiply by -1 both sides
Divide by 15 both sides
The solution is the interval -----> (-∞, -1/3]
All real numbers less than or equal to negative one third
The solution on a number line is the shading area below of the line y=-1/3 (close circle)
The graph in the attached figure
Answer:
5 m/s
Step-by-step explanation:
According to law of conservation of momentum :
m1u1 + m2u2 = m1v1 + m2v1
m1 = 7kg ; u1 = 9m/s ; m2 = 2kg ; u2 = 0 ; v2 = 14 m/s
m = masses ; u = initial velocities ; v = final velocities
m1u1 + m2u2 = m1v1 + m2v1
7*9 + 2*0 = 7*v + 2*14
63 + 0 = 7v1 + 28
63 = 7v1 + 28
63 - 28 = 7v1
35 = 7v1
v1 = 35 / 7
v1 = 5 m/s