The equation for the variable 'c' is c = d(q² + 1)/(q² - 1). By using simple arithmetic operations on the original equation, the required equation can be obtained.
<h3>What is an equation?</h3>
An equation is a relationship between two expressions given by a mathematical statement.
There are different types of equations. They are linear equations, quadratic, polynomial, etc.
<h3>Solving for c in the given equation:</h3>
The given equation is
q = √((c + d)/(c - d))
Squaring on both, root gets canceled out
⇒ q² = (c + d)/(c - d)
⇒ q²(c - d) = (c + d)
⇒ cq² - dq² = c + d
Separating like terms aside,
cq² - c = d + dq²
⇒ c(q² - 1) = d(q² + 1)
⇒ c = d(q² + 1)/(q² - 1)
Therefore, the required equation is c = d(q² + 1)/(q² - 1).
Learn more about solving a variable in an equation here:
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Answer:
Triangle 1(ABC) and Triangle 3(XYZ) are similar since all their angles are equal
In Traingle XYZ m of angle Y is 85 degree..
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5 divided by 2 = 2.5
Each person should get 2 and a half
Answer:
or
Step-by-step explanation:
we know that
To find out how much faster is Paloma than Savannah in the 100- meter dash, subtract the Paloma's time from the Savannah's time
so
step 1
Convert mixed number to an improper fraction
step 2
Convert decimal number in fraction number
Simplify
step 3
Substitute the values
Convert to mixed number
Convert to decimal number