Answer:
<em>D = 41</em>
Step-by-step explanation:
y = ax² + bx + c
The discriminant D = b² - 4ac tells the types of roots the equation has.
If D < 0 , then quadratic equation has no real roots, has two imaginary roots.
If D = 0 , then quadratic equation has one real root.
If D > 0 , then quadratic equation has two distinct real roots.
~~~~~~~~~~~~
x² + 5x - 4
a = 1, b = 5, c = - 4
<em>D </em>= 5² - 4(1)(- 4) = 25 + 16 =<em> 41</em>
Answer: $418
Step-by-step explanation:
This is because you find 5% of $440 which is 22. Then you subtract 22 from 440 which is 418, thus the answer
Answer:
The length of x in the simplest radical form with a rational denominator will be:
Step-by-step explanation:
Given
hypotenuse = 5
angle Ф = 60°
To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 60°
adjacent of 60° = x
hypotenuse = 5
so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation
cos Ф = adjacent / hypotenuse
so


switch sides

Multiply both sides by 5

Simplify

Therefore, the length of x in the simplest radical form with a rational denominator will be: