1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mice21 [21]
3 years ago
14

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

Mathematics
1 answer:
KonstantinChe [14]3 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.
You might be interested in
Reeeeeeeeeeeeeeeeeeee
Juliette [100K]

start by writing the multiplication in this form

start multiplying from right to left.

3\cdot0=0

write the first number down

continue by multiplying the next number from right to left

8\cdot3=24

write the number down, since there are no more numbers to multiply for write the wole number

this means that

80\cdot3=240

5 0
1 year ago
Graph Y = -1/2x-6<br> Please help me out! I will mark answer brainiest if you do...
elena55 [62]
Y = -1/2x - 6......u have a slope of -1/2....u have a y int of -6 or (0,-6)

the x int can be found by subbing in 0 for y and solving for x
0 = -1/2x - 6
1/2x = -6
x = -6 * 2
x = -12.....so ur x int is -12 or (-12,0)

so go ahead and plot ur intercepts.....(0,-6) and (-12,0)...well...u cant really plot ur x axis because ur graph is not big enough....so start at (0,-6)...and I know the slope is -1/2....and u would usually start at (-12,0)...but that is not on the graph....so start at (0.-6)....and go up 1 and to the left 2, plot that point....then up 1 and to the left 2...plot that point......u would eventually cross the x axis at (-12,0).

or u could just go to desmos....its a graphing calculator...and see for urself
4 0
3 years ago
The elves and reindeer are getting ready for a meeting with Santa.
Feliz [49]

Let e and r be the number of elves and reindeers, respectively.

We know that:

r+e=14 (so far 14 of them have arrived)

4r+2e = 38(each reindeer has 4 legs and each elf has two)

If we multiply the first equation by 2 we have 2r+2e=28, and if we subtract this equation from the second we have 2r=10 which implies r=5.

So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).

3 0
2 years ago
A school held a jump roping contest, Diego jumped rope for 20 minutes . Lin jumped rope for 24 minutes. What percentage of Diego
Elden [556K]

Answer:

Diego's time is 75% of Lin's time.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
!!100 POINTS AND BRAINLIEST ANSWER!! Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has
enot [183]
We have two coordinates here: (2, 225) & (5, 480)

Now, Calculate for the Slope:
m = y2-y1 / x2-x1
m = 480-225 / 5-2
m = 255/3
m = 85

y - y1 = m(x - x1)
y - 225 = 85(x - 2)
y - 225 = 85x - 170
y = 85x + 55
8x - y = -55 [ Final Equation in the standard form ]

B.) F(x) = 85x + 55

C.) For x=1, F(x) = 85(1) + 55 = 140
For x = 2, F(x) = 85(2) + 55 = 225
For x = 3, F(x) = 85(3) + 55 = 310

In short, Your Coordinates for the Graph would be: (1, 140) (2, 225), (3, 310)...

Hope this helps!


8 0
3 years ago
Other questions:
  • Helllllppppp pleaaaseeeee
    6·2 answers
  • Which of the following is a geometric series?
    15·1 answer
  • What is the value of the expression 5x − y when x = 3 and y = 1?<br><br> 14<br> 10<br> 7<br> 0
    7·1 answer
  • Which measurement is equivalent to 21 yards?<br> O 1.75 ft<br> O 7ft<br> O 63 ft<br> O 252 ft
    15·2 answers
  • When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 60 seconds
    14·1 answer
  • Identifying Radicals in Simplest Form
    6·2 answers
  • Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.​
    9·1 answer
  • Given: tanA= -square root 15<br> What is the value of tan (A-pi/4)?
    10·2 answers
  • Which is equivalent to 15(-3 5/8)
    8·1 answer
  • Is anybody a hacker I’m looking for somebody to hack someone’s Tikto make sure they ain’t cheating on me?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!