The right answer for the question that is being asked and shown above is that: "fraction with numerator negative 3 minus i and denominator 10." This is the simplified expression fraction with numerator of the square root of negative one and denominator of the quantity three plus eight times i minus the <span>quantity two plus five times i.</span>
Answer:
n = -2
Step-by-step explanation:
4n + 12 = 4
Subtract 12 from both sides.
4n = -8
Divide both sides by 4.
n = -2
First notice that the triangle with sides

and the triangle with sides

are similar. This is true because the angle between sides

in the smaller triangle is clearly

, while the angle between sides

in the larger triangle is clearly

. So the triangles are similar with sides

corresponding to

, respectively.
Now both triangles are

, which means there's a convenient ratio between its sides. If the length of the shortest leg is

, then the length of the longer leg is

and the hypotenuse has length

.
Since

is the shortest leg in the larger triangle, it follows that

, so
Answer:
f(x) =
is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = ![\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B8x%5E%7B7%7D%20%7D)
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = ![\sqrt[3]{32x^{(2+7)} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B%282%2B7%29%7D%20%7D)
= ![\sqrt[3]{32x^{9} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B9%7D%20%7D)
= 
= 
f(x) =
is the simplest expression