Angles are measures of turn. A complete turn is called a perigon angle or full angle which measures 360°. A half (1/2) turn is called a straight angle, because it looks like a straight line with a dot (the vertex) in the middle, its measure is 180°. The rays are the two halves of a line and they point in opposite directions.
The Given Expression is : → x² + 13
= x² + (√13)²
= x² - ( i √13)² As , i²= -1 because , i = √-1
= (x - i√13)(x +√13) → Using the formula , A² - B² = (A-B)(A+B)
Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.
Answer:
ranges from 2890 miles to 5780 miles.
Step-by-step explanation:
Let us call the number of miles the car travels, and 
the number of gallons of gas that are used, then we have the relationship
<em>(this says the car travels 17 miles for each gallon of gas).</em>
Now, when 
, we have
and when 
, we have
So, when goes from 170 to 340, goes from 
to 
.
Therefore, when ranges from 170 to 340 gallons, the distance traveled ranges from 2890 to 5780 miles.
We need a matching complex to 2+3i. The conjugate is 2-3i and the two factors are (x-2-3i)(x-2+3i)=(x²-4x+4+9)=x²-4x+13.
The polynomial is (x-4)(x+8)(x²-4x+13)=(x²+4x-32)(x²-4x+13)=
x⁴-4x³+13x²
+4x³-16x²+ 52x
-32x²+128x-416
x⁴-35x²+180x-416 is the 4th degree polynomial.
