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Mice21 [21]
2 years ago
14

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

Mathematics
1 answer:
KonstantinChe [14]2 years ago
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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Which expression is equal to 2X^2+7<br> (Simplify)
almond37 [142]

This expression cannot be simplified any further.

5 0
3 years ago
6x - 8 ≤ 184 <br> i need answer for test corrections
jekas [21]
I hope this helps.....

Explanation:
I took this in 9th grade so I know how to do this kind of stuff

5 0
2 years ago
FREE TEN POINTS TO WHOEVER ANSWERS RIGHT NOW!!!!!!!!!!!!!!!!!!!!!!Consider this equation:  2/3 x − 9 − 2x + 2 = 1 Which is an eq
marin [14]

Answer:

(Option B) StartFraction negative 4 Over 3 EndFraction x minus 7 = 1  

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Using​ 45-in. fabric, Regan needs 2 and one fourth yd for a​ dress, one fourth yd of contrasting fabric for the band at the​ bot
Arte-miy333 [17]

Answer:

7\dfrac14$ yards

Step-by-step explanation:

Regan needs the following:

2\dfrac{1}{4} yards for a​ dress

\dfrac{1}{4}$ yards of contrasting fabric for the band at the bottom$\\4\dfrac{3}{4}$ yards for a coordinating jacket.

Total Length of fabric needed

= 2\dfrac{1}{4}+\dfrac{1}{4}+4\dfrac{3}{4}\\=2+4+\dfrac{1}{4}+\dfrac{3}{4}+\dfrac{1}{4}\\=6+1+\dfrac{1}{4}\\=7\dfrac{1}{4}$ yards

The number of yards of 45-in. fabric needed is 7\dfrac14$ yards.

4 0
3 years ago
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A shipping service restricts the dimensions of the boxes it will ship for a certain type of service.
Mandarinka [93]

Answer:

Then the answer is option a  

a. 0<x \leq10

Step-by-step explanation:

perimeter + height is less than 130 inches.

If height is 60 inches.then perimeter left is 70 inches.

If perimeter was more than 70 inches then perimeter 60 more than the height would be more than 130.

perimeter of rectangle is

It has two widths and two lengths because that's what rectangles do.

width of base "x"

Then the length is 2.5x

perimeter = 2 width + 2 length

= 2(x) + 2(2.5x)

= 2x + 5x

= 7x

but perimeter can't be more than 70 inches.

So x can't be more than 10 inches because if x was more than 10 inches, then 7x which is perimeter would be more than 70 inches.

2x + 2(2.5x) + 60 \leq  130

7x + 60 ≤ 130

7x ≤ 70

x ≤ 10

Then the answer is option a  

a. 0<x≤10

3 0
3 years ago
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