Answer:
Second Option

Step-by-step explanation:
To simplify the expression you must multiply the numerator and the denominator of the fraction by the conjugate of the denominator.
If you have an expression of the form
then its conjugate will be 
The result of that multiplication will be

Therefore we have the expression

By multiplying by the conjugate of the denominator we have

An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.
<u>Given the following data:</u>
- b = (5q - 10s) centimeters.
- c = (5s + 7r) centimeters.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>How to calculate the perimeter of a triangle?</h3>
Mathematically, the perimeter of a triangle can be calculated by using this formula:
P = a + b + c
<u>Where:</u>
a, b, and c are length of sides.
Substituting the given parameters into the formula, we have;
P = q + r + 5q - 10s + 5s + 7r
P = 6q + 8r - 5s centimeters.
Read more on perimeter of triangle here: brainly.com/question/27109587
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Answer:
The actual length of the lap = 250 meters
Step-by-step explanation:
∵ The scale factor of the map is 1:1000
∵ The length of the lap on the map is 25 cm
∴ 
Where x is the actual length of a lap
∴ x = (25 × 1000) ÷ 1 = 25000 cm
∵ 1 meter = 100 centimeter
∴ The actual length of the lap = 25000 ÷ 100 = 250 meters
Step-by-step explanation:
In the picture, I hope that it's a clear solution.