When the numerator and denominator of a fraction are equal, the fraction is equal to 1.
When the numerator is greater then the denominator the fracion is called an "improper fraction". It represents a number greater then or equal to 1 and isnt neccasarily a whole number. It can also be written as a mixed number.
Answer:
Slope of line =
Step-by-step explanation:
We have given two points,
(-4 ,-8) and ( - 18 , -10)
We need to find the slope of line passing through these two points.
i.e slope of line =
Here y₂ = -10 , y₁ = -8 , x₂ = -18 and x₁ = -4
Hence,
slope of line = =
Slope of line =
This is true. It is called the exterior angle theorem. An example would taking a right triangle. An outside angle of the right angle would also be 90, while the remaining two inside's sum would also be 90.
There are many ways in which we can find for the zeros of the problem. We can use the quadratic formula, completing the square, using a graphing calculator, etc.
For this problem, I'll be completing the square.
x² - 6x = -22
Since the constant has been moved to the right side already, we can move on to the next step which is adding (b/2)² to both sides of the equation.
x² - 6x + (-6/2)² = -22 + (-6/2)²
x² - 6x + 9 = -22 + 9
Factor the left side of the equation into a perfect square and simplify the right side.
(x - 3)(x - 3) = -13
Take the square of both sides.
x - 3 = ± √-13
Take out the negative from the square root as the letter "i"
x - 3 = ± i√13
Add 3 to both sides of the equation to let x be by itself.
x = 3 ± i√13
So your two roots will be:
x = 3 + i√13 and x = 3 - i√13
Solution: C. 3 - i√13