Hello!
The discriminant of quadratic functions is: b² - 4ac. Since the equation is in standard form, which is Ax² + Bx + C = 0 , we can substitute those values into our discriminant and simplify.
The value of the discriminant will tell us how many solutions there are to the given quadratic equation.
A positive discriminant will have two real solutions.
A discriminant of zero will have one real solution.
A negative discriminant will no real solutions.
1. Substitute, a = 16, b = 8, c = 1.
8² - 4(16)(1)
64 - 4(16)(1)
64 - 64(1)
64 - 64
0
Since the discriminant is zero, the answer is choice A, double root, because since it is raised to the power of 2, it must has two roots, but in this case, both of the roots the same x-values.
Answer:
42 minutes
Step-by-step explanation:
70% x T = 98
7T/10 = 98
7T = 980
T = 140 mins
140 - 98
= 42 minutes
We can use rise over run to determine the slope is 5/8. Using this slope and the point (5,2) we can write the equation: y-2 = 5/8 (x-5)
Decimal form of 5/8 is .625 , so it could be written y-2 = .625*(x-5)
Since we know that the 38 is being bisected (which we can tell by the fact that the line hits it perpendicularly), we know that from the intersection to the edge of the circle is 19. From this we can create a right triangle in which the legs are 10 and 19 and the hypotenuse is a radius of the circle. Since x is also a radius of the circle, all we have to do is use that information to find the hypotenuse using the Pythagorean Theorem and we have x.
Pythagorean Theorem

+

=


+

=

100 + 361 =

461 =

x =

or about 21.47