Answer:
x = 
Step-by-step explanation:
collect the fractional terms on the left side of the equation and other terms on the right side
subtract 
from both sides
- + p = q
subtract p from both sides
- = q - p
We require the fractions to have a common denominator of mn
multiply the numerator/denominator of the first fraction by n and the numerator/denominator of the second fraction by m
- 
= q - p
distribute and simplify the numerators of the fractions
= q - p
= q - p
factor out x from each term on the numerator
= q - p
multiply both sides by mn
x(n - m) = mn(q - p)
divide both sides by (n - m)
x = → n ≠ m
Answer:
D) 6sqrt(2)
Step-by-step explanation:
D² = 6² + 6²
D = 6sqrt(2)
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units.
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon = 
= 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
Answer:
The answer is (4x - 3)/(x + 6)
Step-by-step explanation:
∵ (4x² - 7x + 3)/(x² + 5x - 6)
Factorize the numerator:
4x² - 7x + 3 = (4x - 3)(x - 1)
Factorize the denominator:
x² + 5x - 6 = (x - 1)(x + 6)
∴ (4x - 3)(x - 1)/(x - 1)(x + 6) ⇒ reduce (x - 1) from in up and down
∴ The answer is (4x - 3)/(x + 6) ⇒ the fourth answer
Answer:
1/15
Step-by-step explanation:
Dividing a fraction can sometimes be seen as multiplying it by another fraction.
So instead of doing (1/5)/3 we can write it like this:
1/5 * 1/3
And since multiplying something by one third is equivalent to dividing it by three, nothing has really changed.
So now we can multiply the fractions.
First we'll take the numerator (the number above the line) of 1/5 and multiply it by the numerator or 1/3.
1 * 1 = 1
Then we do the same for the two denominators (the numbers <em>below</em> the line)
5 * 3 = 15
So now we've turned 1/3 * 1/5 into: (1*1)/(3*5),
Then simplified it to:
1/15
