Answer:
If D< 0, the roots of the quadratic equation will b complex.
Step-by-step explanation:
Let
is the given quadratic equation.
So, if the Discriminant (D) =
, the the equation will have only complex solutions.
Complex roots are represented in the form of 
1. <u> x represents the X axis (real) co ordinate,</u>
<u>y represents the Y axis (imaginary) coordinate</u>
<u />
<u />
2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.
3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.
Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
Answer:
2x° = 45°, 3x° = 67.5°
Step-by-step explanation:
Sum of angles in a triangle = 180°
2x+3x+3x=180°
8x=180°
x=22.5°
2x=22.5°x2=45°
3x=22.5°x3=67.5°
Range is the difference between the largest and the smallest numbers in a given contest
Hence the range
= 46 - 36
= 10 °F