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
Alika [10]
3 years ago
7

Simplify the following completely, show all work.4 + ✓-27​

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

4+3i\sqrt{3}

Step-by-step explanation:

the \sqrt{-27} needs to be simplified

first, I broke it down to\sqrt{-1} and \sqrt{27}

\sqrt{-1} simplifies to i ;and  can be broken down to \sqrt{9} and \sqrt{3}

\sqrt{9} can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)

You might be interested in
Subtract 5x^2 – 2x – 5 from – 2x^2<br> - 5x - 7
user100 [1]

Answer:

-7x^{2} -3x-2

Step-by-step explanation:

(-2x^2-5x-7) - (5x^2-2x-5)\\\\-2x^2 - 5x^2  = -7 x^2\\-5x - -2x = -3x\\-7 - -5 = -2 \\Result: -7x^2-3x-2

3 0
3 years ago
Read 2 more answers
Byron earns $11.00 per hour. How many hours will Byron have to work to earn $143.00?
kirza4 [7]
Byron would have to work 13 hours to earn $143.00
8 0
3 years ago
Read 2 more answers
Please answer these 2 questions. I promise to mark as brainliest if you can solve with steps. Thank you.
neonofarm [45]

Answer:

see explanation

Step-by-step explanation:

4

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{BC}{EF} = \frac{AB}{DE} ( substitute in values )

\frac{x-1}{18} = \frac{4}{12} ( cross- multiply )

12(x - 1) = 72 ( divide both sides by 12 )

x - 1 = 6 ( add 1 to both sides )

x = 7

------------------------------------------------------------------------------

5

The parallel line segment SV is half of RW

that is x = 7.5

SV also divides the sides RT and WT in proportion, that is

\frac{10}{3} = \frac{8}{y} ( cross- multiply )

10y = 24 ( divide both sides by 10 )

y = 2.4

6 0
3 years ago
A right circular cylinder is inscribed in a sphere with diameter 4cm as shown. If the cylinder is open at both ends, find the la
SOVA2 [1]

Answer:

8\pi\text{ square cm}

Step-by-step explanation:

Since, we know that,

The surface area of a cylinder having both ends in both sides,

S=2\pi rh

Where,

r = radius,

h = height,

Given,

Diameter of the sphere = 4 cm,

So, by using Pythagoras theorem,

4^2 = (2r)^2 + h^2   ( see in the below diagram ),

16 = 4r^2 + h^2

16 - 4r^2 = h^2

\implies h=\sqrt{16-4r^2}

Thus, the surface area of the cylinder,

S=2\pi r(\sqrt{16-4r^2})

Differentiating with respect to r,

\frac{dS}{dr}=2\pi(r\times \frac{1}{2\sqrt{16-4r^2}}\times -8r + \sqrt{16-4r^2})

=2\pi(\frac{-4r^2+16-4r^2}{\sqrt{16-4r^2}})

=2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})

Again differentiating with respect to r,

\frac{d^2S}{dt^2}=2\pi(\frac{\sqrt{16-4r^2}\times -16r + (-8r^2+16)\times \frac{1}{2\sqrt{16-4r^2}}\times -8r}{16-4r^2})

For maximum or minimum,

\frac{dS}{dt}=0

2\pi(\frac{-8r^2+16}{\sqrt{16-4r^2}})=0

-8r^2 + 16 = 0

8r^2 = 16

r^2 = 2

\implies r = \sqrt{2}

Since, for r = √2,

\frac{d^2S}{dt^2}=negative

Hence, the surface area is maximum if r = √2,

And, maximum surface area,

S = 2\pi (\sqrt{2})(\sqrt{16-8})

=2\pi (\sqrt{2})(\sqrt{8})

=2\pi \sqrt{16}

=8\pi\text{ square cm}

4 0
3 years ago
HELP ME PLS<br> Write the ratio<br> 3/8 with a numerator of 9.
Anna35 [415]

Answer:

24

Step-by-step explanation:

3    9

8    

9 times 8

divided by 3 = denominator

9x8÷3=24

7 0
3 years ago
Read 2 more answers
Other questions:
  • Lauren Michel lends $17,000 at a rate of 10.7% .
    5·1 answer
  • Round 61.98 to two significant figures
    14·2 answers
  • If 8 ounces of a sports drink contain 110 milligrams of sodium what is the total number of milligrams of sodium in 20 ounces of
    11·1 answer
  • Question 5<br> 60% of 50<br><br> Question 6<br> 25% of 16
    7·1 answer
  • Meena sells apple pies at the farmers market. She charges $12 for each pie. It costs her $5 to make each pie and there is a $35
    15·1 answer
  • Write the set builder notation {8}
    9·1 answer
  • Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line
    5·1 answer
  • Me question
    9·1 answer
  • Students of Grade 5 together sold T- shirts for a 6 fundraiser at $ 360. Find the average number of T- shirts each student sold
    15·2 answers
  • Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!