Simplify. 3√-28

A 2i√7
B 12i√7
C 61√7
D -6i√7

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We want to simplify the expression:

[tex]\displaystyle 3 \sqrt{-28}[/tex]

Rewrite:

[tex]\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}[/tex]

Rewrite:

[tex]\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}[/tex]

Simplify. Let i = √(-1). Hence:

[tex]\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}[/tex]

Multiply:

[tex]\displaystyle = 6i\sqrt{7}[/tex]

In conclusion, our answer is C.


Related Questions

Which compound inequality could this graph be the solution

Answers

Answer:

A. 3x+14≥ 2 or 1-x ≥-5

Step-by-step explanation:

the solutions should be x≥ -4 or x ≤6

and the right answer is :

3x + 14≥ 2

3x ≥ -12

x≥ -4

1-x ≥ -5

-x ≥ -6

x ≤ 6

A. 3x+14≥ 2 or 1-x ≥-5

Help please! Find the converse

Answers

Answer:

Step-by-step explanation:

The  converse of ~q  =>  ~p  is  ~p  =>  ~q.


The radius of a circle is 4.6 millimeters. Find the diameter.

Answers

Hi :)

Radius is half the diameter

4.6 mm (2) = 9.2 mm

The diameter of the circle is 9.2 mm.

find the area of point b??

Answers

Answer:

78.5 in^2

or

506.7 cm^2

Step-by-step explanation:

r = 5 in = 12.7 cm

Area of circle

[tex] = \pi \times {r}^{2} [/tex]

Estimate and solve:
67+35
89-54

Answers

Answer:

32

35

Step-by-step explanation:

hope this helps :D

Answer:

Estimate and solve:

67+35

89−54

Add 67 and 35.

102

Subtract 54 from 89.

35

List all of the solutions.

67+35=102

89−54=35

Step-by-step explanation:

HELPPPPPP!!!!!!!!!!!!!!

Answers

Answer:

7

Step-by-step explanation:

no need to panic !

it is actually totally easy.

we have the complete, big angle at U (imagine you turn VU around U into UT) = 178 degrees.

VT is almost a straight line (then that angle would be 180 degrees). but only almost ...

anyway, the other 2 angles are just parts of the big angle, and we see that together they sum up to the big angle, as there is no other space for a part of the big angle left.

so

(14x - 11) + (12x + 7) = 178

14x - 11 + 12x + 7 = 178

26x - 4 = 178

26x = 182

x = 7

Help pls i’ll also rate brainliest

Answers

Answer:b

Step-by-step explanation:

Find ef if e (1,-2) and f (7,6)

Answers

y-y1=a(x-x1)
a=(y2-y1)/(x2-x1)
a= (6-(-2))/(7-1)
a=8/6
a=4/3
y-6=4/3(x-7)
y-6=4/3x-28/3
y=4/3x-28/3+6
y=4/3x-10/3 >>ef

union and intersection of sets

Answers

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The union is notated A ⋃ B. The intersection of two sets contains only the elements that are in both sets. The intersection is notated A ⋂ B.

Answer:

Union

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as A∪B. For example, if A is the set {♢,♡,♣,♠} and B is the set {△,♡,♠}, then A∪B={♢,♡,♣,♠,△}.

Intersection

Intersection of two given sets is the largest set which contains all the elements that are common to both the sets. To find the intersection of two given sets A and B is a set which consists of all the elements which are common to both A and B. The symbol for denoting intersection of sets is '∩'.

Combine Like Terms
4. Which expression is equivalent to -9 + 8y + 12 - (-2y) + 1 ?
14y
10y
4+6y
10y+4

Answers

Answer:

10y + 4

Step-by-step explanation:

-9 + 8y + 12 - (-2y) + 1

-9 + 8y + 12 + 2y + 1

8y + 2y - 9 + 12 + 1

10y + 4

I need help with this homework
2x^2+ 7x+ 5= 0

Answers

Answer:

x = -1 or/and -5/2

Step-by-step explanation:

:)

Solve for x and find the value of the unknown angle measures.
1. x=
2. m=
3. n=
4. p=

Answers

Answer:

x=20°

m=50°

n=68°

p=50°

Step-by-step explanation:

Here,we know that,

i)n=68°[being vertically opposite angle]

ii)p+62°+n=180°[being straight angle]

or, p+62°+68°=180°

or, p+130°=180°

or, p=180°-130°

thus, p=50°

iii) m=p[being vertically opposite angle]

thus, m=50°

iv)(2+3x)°=62°[being vertically opposite angle]

or, 3x°=62°-2°

or, 3x°=60°

or, x=60°÷3°

thus, x=20°

Hence, the value of x=20°, m=50°, n=68° and p=50°.

I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.

Answers

Answer:

17

Step-by-step explanation:

17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.

Answer: 17

Step-by-step explanation:

1+7=8

The ten digit is (1) 6 less than the one digit (7)

I will mark as brainliest if you can answer. :)

Answers

not enough information

Y varies directly with x and y=8 when x=-5

Answers

Answer:

Y=K×X...... equation

When,Y=8 and X=-5

To find the constant (K)

we substitute for K in the equation

8=K×-5

8=-5K divide both sides by -5

8÷-5=-5K÷-5

K=-1.6

How to make 10000 by only using number 8, No matter what the operation is​
BRAINLIEST will be marked

Answers

Here is the answer

[tex]\\ \sf\longmapsto 8888+888+88+88+8+8+8+8+8+8[/tex]

Similar Question .

Write 1000 using 8

Answer:-

888+88+8+8+8

Answer:

One of the options comes from this:

10000/8 = 1250

It means 10000 contains 1250 of 8's:

1250 = 1111 + 139 = 1111 + 111 + 28 = 1111 + 111 + 11 + 11 + 6

The 8's to make 10000 are:

10000 = 8888 + 888 + 88 + 88 + 8 + 8 + 8 + 8 + 8 + 8

Solve for x in 5x²-42-1=0, using factorization method

Answers

Answer:

x=2.932576,−2.932576

Find the lower quartile for the data. {66, 70, 75, 72, 67, 68, 65, 69, 68}

A. 66.5
B. 69
C. 69.5
D. 70

Answers

Answer:

66.5 is the answer thanks

19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these​

Answers

Answer:

B

Step-by-step explanation:

Let the two numbers be a and b.

The product of the two is 120 and their sum of their squares is 289. In other words:

[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]

And we want to find the sum of the two numbers.

We can use the perfect square trinomial. Recall that:

[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]

From the first equation, multiply by two:

[tex]2ab = 240[/tex]

Add the two equations together:

[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]

Simplify and rewrite:

[tex]a^2+2ab+b^2 = 529[/tex]

Factor using the perfect square trinomial pattern:

[tex](a+b)^2 = 529[/tex]

And take the square root of both sides:

[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]

Hence, the sum of the two numbers is 23 or -23.

In conclusion, our answer is B.

¾ + ½ =
Plz help me
I neeeeed help

Answers

1.25 would be the answer

answer

1.25

Step-by-step explanation:

[tex] \frac{3}{4} + \frac{1}{2} [/tex]

[tex] \frac{3 \times 1 + 1 \times 2}{4} [/tex]

[tex] \frac{3 + 2}{4} [/tex]

[tex] \frac{5}{4} [/tex]

[tex]1.25[/tex]

I hope this will help you..please mark my answer as BRAINLIEST....

FIRST -CORRECT- ANSWER WILL GET BRAINLIEST!!

Find u.


A. 2√2

B. 2

C. 4

D. √2

Answers

Answer:

u=2 root 2

Step-by-step explanation:

All 45 45 90 degree triangles follow the same pattern

A total of 621 tickets were sold for the school play day for the school play they were either adult tickets or student tickets it there were 71 more student to get sold then adult tickets how many adult tickets were sold

Answers

Answer:

275 student tickets and 346 adult tickets

Step-by-step explanation:

621-71=550

550÷2=275+71346

Which of the following functions is odd?


PLZ HELP URGENT

Answers

Answer: Choice D

Explanation:

This is because all of the exponents are odd for this polynomial. It might help to think of that 4x as 4x^1.

Hi, can you help me with these?
It's really hard :(​

Answers

Rachel will earn $85 in 10 hours :)

Here's the Solution:

Direct Variation

Y = kx

Given:

$34=k(4)

k = 34/4

k = 17/2

Y = kx

Y = (17/2) (10)

Y = 85

Hope this helps :)

Someone please help me on this!
Which statements are true about the
transformation (x,y) → (x - 1 y +4)?
A The transformation is a non-rigid
motion.
B The transformation slides the figure
to the left 1 unit and up 4 units.
C The transformation is a rigid motion.
D The transformation slides the figure to
the right 1 unit and down 4 units.

Answers

Answer:

b and c

Step-by-step explanation:

b is obvious since you can just plug In a point to solve

but c is a bit trickier a rigid motion is a transformation that doesn't change size or shape and we are just moving points which have same size so c is true.

Determine whether the given value is a statistic or a parameter. A study was conducted of all 1575 workers in a certain state.

Answers

Answer:

Step-by-step explanation:

Find the surface area of a cylinder with a base radius of 2 in and a height of 5 in

Answers

Answer:

[tex]r = 2 \\ h = 5 \\ a = 2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi \times 2 \times 5 + 2\pi {2}^{2} \\ = 20\pi + 8\pi \\ = 28\pi \\ = 28 \times 3.14 \\ = 87.92 {unit}^{2} \\ thank \: you[/tex]

(2x + 5) + (x + 4) =

Answers

Answer:

3x + 9

Step-by-step explanation:

(2x + 5) + (x + 4)

Distribute the + to all numbers/variables

2x + 5 + x + 4

Combine like terms:

2x + 5 + x + 4

3x + 5 + 4

3x + 9

Hope this helped.

A student's cost for last semester at her community college was $2800. She spent $308 of that on books. What percent of last semester's college costs was spent on
books?
% of last semester's college costs was spent on books.

Answers

You want to divide the cost of the books by the total costs.

308/2800 = 0.11

You then need to convert 0.11 to a percent: 0.11 = 11%

Therefore, 11% of her costs last semester were spent on books.

That’s too much!

Solve 4.5 divided by 0.9

Answers

Answer:

4.5 / 9 = 1/2

Answer is 5

9
Simplify ——
10
45 9
—— ÷ ——
10 10

9
Simplify —
2


9 9
— ÷ ——
2 10

9 9
Divide — by —— = 5
2 10

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