1. What is the domain of the function below?
2 answers:
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Answer:
They most have common denominators.
Step-by-step explanation:
Let the following two rational expressions:
where p,a,q, b are integers, a and b the denominators are not 0, i.e.
We can add rational expressions only if their denominator is same.
That is why we find LCD to be .
Then,
Let the following two rational expressions:
where p,a,q, b are integers, a and b the denominators are not 0, i.e.
We can add rational expressions only if their denominator is same.
That is why we find LCD to be .
Then,
So, the correct answer is the last option that we can sum rational expressions if they have common denominator.
Answer:
Step-by-step explanation:
Using the rule of exponents
=
, then
=
=
Answer:
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
- (x, y) = (-1, -7)
Step-by-step explanation:
Let P be the point.
As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
(x₁, y₁) = (-2,-8)
(x₂, y₂) = (5,-1)
Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7
Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7
1 : 6 ratio means the point P lies at
Thus,
rise for P = 7 × 14% = 1
run for P = 7 × 14% = 1
Thus, coordinates of P will be:
x = -2 + 1 = -1
y = -8 + 1 = -7
Thus,
The coordinates of the point P in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:
- (x, y) = (-1, -7)