X+4 divided by x^2+16 Why can't it be simplified?

1 answer:

8 0

Let's try to simplify x^2 + 16. It's a sum of two squares:

x^2 + 16 = 0

x^2 = -16

The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.

Remember that square roots have a plus or minus symbol outside:

±√-16 = ±4i

Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:

(x + 4i)(x - 4i)

If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.

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Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

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3 years ago

Geometry sucks please help

ehidna [41]

Answer:

a. AB = 3.4 ft

b. AE = 1.6 ft

Step-by-step explanation:

SOH CAH TOA reminds you of the relationship between trig functions and right triangle sides.

a. Cos = Adjacent/Hypotenuse

cos(28°) = BE/BA = 3 ft/BA

Multiplying by BA and dividing by cos(28°), you get ...

BA = (3 ft)/cos(28°) ≈ 3.4 ft

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b. Tan = Opposite/Adjacent

tan(28°) = AE/BE = AE/(3 ft)

Multiplying by 3 ft, you get ...

AE = (3 ft)·tan(28°) ≈ 1.6 ft

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3 years ago

At CD Shack, all used CDs are the same price. Jesse spent $54 and Mimi spent $66 on used CDs. What is the most each used CD coul

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Hey there
__________
The correct answer is
Whatever each CD costs, what each person paid is that cost times the number of CDs purchased (no sales tax for this problem).
So, the price of one CD is a factor of $66 (a number of $ that divides $66 evenly).
In theory, it could be $1, $2, $3, $6, $11, $22, $66.
It could even be $0.50, $0.25, $0.20, $0.10, $0.05,...
Also, the price of one CD must be a factor of $54. such as $54,$27,$18,$9,$6,$3,$2,$1,... .
You are looking for the most that price could be.

The grew greatest price that is in both lists is $6.

How can you make those lists?
You can start with the total price, then the price divided by 2, by 3, by whatever whole number you can divide it.

Otherwise, you could find the greatest common factor of 66 and 54
from the prime factorization of both numbers.
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Answer:

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