Answer:
90°
Step-by-step explanation:
5, 12 and 13 are the sides of a right triangle ( Pythagorean triple )
13 is the measure of the hypotenuse whose opposite angle is 90°
Step-by-step explanation:
The random numbers are selected randomly. Just because they happen to be 6 numbers in a row does not mean that they were not. If she is confident in the random number generator, which can be assumed, then the random numbers were still randomly selected and can be used. To regenerate would be a mistake because Jada is then picking and choosing which random numbers are chosen, defeating the purpose of a random number generator
Answer:
see the explanation
Step-by-step explanation:
<u><em>The correct question is</em></u>
Use the discriminant to determine how many solutions are possible for the following equation (show work).
5x^2-3x+4=0
we know that
The discriminant for a quadratic equation of the form
is equal to
If D=0 then the equation has only one real solution
If D>0 then the equation has two real solutions
If D<0 then the equation has no real solutions (two complex solutions)
in this problem we have
so
substitute
so
The equation has no real solutions, The equation has two complex solutions
therefore
I know there are___No____
real solutions to the equation in problem 4 because ___the discriminant is negative___
Focal length p = distance between focus and vertex = 8
x = (1/(4p))(y-3)²+4
x = (1/32)(y-3)²+4
The diagram attached shows the graph described. Remember that the radius of the Unit Circle is 1. The In the corner of the diagram, we have the special right triangle 30-60-90 degrees, and its unit length ratios.
Using the ratios, we know that the side opposite the 30° angle (the x-axis) will be 1/2 the hypotenuse 1, which is 1/2. This means our
x-coordinate is 1/2.
We also see that the side opposite the 60° angle will be the other leg, times √2. This means it will be (1/2) * √2 =
√(2)/2. This is the y-coordinate.
Therefore, the coordinates of the point on the unit circle are
(1/2, √(2)/2).