What is the common denominator of 1/a+1/b in the complex fraction ((1/a-1/b)/(1/a+1/b)? A^2b^2 a-b a+b ab
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
The second statement, we have:
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)
Divide both sides by 4
Substitute for g in (1)
Multiply through by 4
Open bracket
Collect Like Terms
Make h the subject
Substitute 4 for h in
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is:
Answer: By the slope formula.
Step-by-step explanation:
Given: ABC is a triangle (shown below),
In which A≡(6,8), B≡(2,2) and C≡(8,4)
And, D and E are the mid points of the line segments AB and BC respectively.
Prove: DE║AC and DE = AC/2
Proof:
Since, And, D and E are the mid points of the line segments AB and BC respectively.
Therefore, By mid point theorem,
coordinate of D are
Coordinate of E are
By the distance formula,
By the slope formula,
Slope of AC =
Slope of DE =
Statement Reason
1. The coordinate of D are (4,5) and 1. By the midpoint formula
the coordinate of E are (5,3)
2. The length of DE = √5 2. By the Distance formula
The length AC = 2√5 ⇒ Segment DE
is half the length of segment AC
3. The slope of DE = -2 and the 3. By the slope formula
slope of AC = -2
4. DE║AC 4. Slopes of parallel lines are equal
