The discriminant of y=ax^2+bx+c is b^2-4ac
given
9x^2+10x+0
a=9
b=10
c=0
discriminant=10^2-4(9)(0)=100-0=100
the discriminant is 100
Well first find 2 points, I am going to choose (0,0.5) and (1,0.3). So to find rate of change or Slope it is y2-y1/x2-x1 so we are doing that, .3-.5/1-0. which will be -.2/1
Your answer: -.2/1
To check your answer in long division multiply the divisor by the quotient to get your dividend
Answer:
<h3><em>
π/4 and 3π/4</em></h3>
Step-by-step explanation:
Given the equation
, we are to find all the values of x in the interval [0, 2π] that satisfies the equation.
Simplifying the equation:

Square both sides of the equation;

The general formula for sin(x) is x = nπ + (-1)ⁿ∝ where n = 0, 1, 2, 3...
Since ∝ = 45° = π/4.
x = nπ + (-1)ⁿπ/4
when n = 1
x = π + (-1)¹π/4
x = π - π/4
x = 3π/4
<em>Hence the values of x within the given interval are π/4 and 3π/4</em>