The simplified radical for the given equation is 2√3.
The given equation is .
<h3>What are radicals?</h3>
Radical of any number is the same as the root of the number. The root can be a square root, cube root, or in general, it is nth root. Thus, any expression or number that uses a root is known as a radical.
To compute for the values of x given the proportion, we can cross-multiply both sides of the equation as follows:
⇒x×x=3×4
⇒x²=12
⇒x=±√12
From this, we can see that the solutions for the equation are the positive and negative roots of 12.
By simplifying the radical, we get √12 = √(2² x 3) = 2√3
Therefore, the simplified radical for the given equation is 2√3.
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Answer:
Benjamin need 28.39 feet of fencing for the longest side
Step-by-step explanation:
Let
x ----> the longest side of the right triangular garden (hypotenuse of the right triangle)
we know that
In the right triangular garden
----> by CAH (adjacent side divided by the hypotenuse)
see the attached figure to better understand the problem
solve for x
Answer:
see explanation
Step-by-step explanation:
They are collinear if the have the same slope
(2 - -1)/(5 - 1) = 3/4
(5 - 2)/(9 - 5) = 3/4
(5 - -1)/(9 - 1) = 6/8 = 3/4
Cosine = adjacent/hypothenuse
Adjacent = angle between the right angle and C
Adjacent = 21
Hypothenuse = longest side
Hypothenuse = 35
Solution: 21/35