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 of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1

Answers

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

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5.
A bag contains three types of candy (gumdrops, jelly beans, and jawbreakers). If
chosen at random, the probability of getting a gumdrop is 1/6 and the probability
of getting a jellybean is 1/3 What is the probability of getting a jawbreaker?

Answers

Answer:

P) = 1/2 jawbreaker

simplified P) 3/6 = 1/2 jawbreaker

Which both mean the same, so show simplified if asked and either answer if not asked would be marked high.

as 2/6 + 1/3 = 3/6

1 - 3/6 = 3/6

= 1/2    are the workings.

Step-by-step explanation:

Jelly bean = 1/3 = 2/6

Gumdrop = 1/6

2/6 + 1/6 = 3/6 = the difference of 1

1-3/6 = 3/6

Therefore; P) = 3/6 jawbreaker

Please solve the equations below:
1. (2x - 6) 3/2 = 21 - 4x

Answers

Step-by-step explanation:

[tex](2x - 6) \frac{3}{2} = 21 - 4x \\ \\ lcm = 2 \\ 2\times (2x - 6) \frac{3}{2} = (21 \times 2) -( 4x \times 2) \\ \\ 3(2x - 6) = 42 - 8x \\ 6x - 18 = 42 - 8x \\ 6x + 8x = 42 + 18 \\ 14x = 60 \\ x = \frac{30}{7} = 4.286(2.d.p)[/tex]

jane bought two new skirts for school. one cost 15 less than twice the cost of the total cost for both skirts was 75, what was the cost of each skirt?

Answers

Write the expression out then solve it from there

How to do problem 17

Answers

the value of n would be 5.
plugging in 5 and solving gives you the square root of 81 and the square root of 36. these would give you answers of 9 and 6 making it rational.

if this helped please give brainliest!

Find the difference.
1/2 - 1/8

Answers

Answer:

3/8

Step-by-step explanation:

1/2=⁴/8 and ⁴/8-¹/8=³/8

brainiest to whoever rightt.

Answers

Answer:

Perimeter of a square

Step-by-step explanation:

The formula for finding out the perimeter of a square is P = 4s

the mean of seven numbers is 15. when three numbers are added, the mean of ten numbers becomes 12. find the mean of the three numbers.​

Answers

Answer:

3 is the value I guess because with seven it becomes 15 where as with 10 it become 12 so there is 3 numbers gap

I don't know exactly so I just try

Answer:

13 is the answer

Step-by-step explanation:

Gh bisects cf =2y-2 and cd =3y-11 find cd

Answers

Answer:CD is 4

Step-by-step explanation: ham

please help with the screenshot

Answers

Answer:

[tex] \sin(x) = \frac{16}{17} [/tex]

Step-by-step explanation:

sin = opposite/ hypotenuse

Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?

Answers

Answer:

i think the answer is 64 ounces

A number is 10 more than another number. Twice the sum of the two numbers is 44. Find the two numbers.

Answers

Answer:

The two numbers are 6 and 16

Step-by-step explanation:

16+6=22

22+22=44

The numbers are 6 and 12.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number are x and y.

A number is 10 more than another number then

x + 10 = y...............(1)

and, Twice the sum of the two numbers is 44.

2(x+y)= 44...........(2)

Solving the above equation we get

x+ y= 22

y-10 + y = 22

2y = 32

y= 16

and, x= y-10 = 16-10= 6

Learn more about Algebra here:

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Find the solution for
h - 12 =6

Answers

Answer:

H-12=6

H−12+12=6+12

h=18

Answer:

h=18

Step-by-step explanation:

h-12=6

is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive

so in formula it wil look like this

h = 6 + 12

Add up 6 with 12 that wil give you 18

so the value of h is then 18

h = 18

Slope-Intercept Form
Directions: Re-write the equation of
the line in slope-intercept form.
Slope must be in simplest/fraction
form. Do NOT put any spaces in
your answer.
Standard Form
2x+y=8
3x-y=7
5x+2y=8
4x+3y=9
X-y=0
x+4y=16
4x-3y=6
x+2y=-10
x+y=3
3x-2y=9

Answers

(Please vote me Brainliest if this helps!):

y = -2x + 8y = 3x - 7y = [tex]-\frac{5}{2}x[/tex] + 4y = [tex]-\frac{4}{3}x[/tex] + 3y = x + 0y = [tex]-\frac{1}{4}x[/tex] + 4y = [tex]\frac{4}{3}x[/tex] - 2y = [tex]-\frac{1}{2}x[/tex] - 5y = -x + 3y = [tex]\frac{3}{2}x - \frac{9}{2}[/tex]

Simplify. 2–3 Write your answer in the form a+b.

Answers

Answer:

2 + -3

Step-by-step explanation:

2 - 3 in the form a + b is:

2 + -3

where a = 2

and b = -3

PLEASE HELP

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:66.5 degrees

Step-by-step explanation:

|72| ÷ |-12| =
?????????

Answers

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

please help me. thank you so much

Answers

Answer:

D. On sale at 60% of the original price

Step-by-step explanation:

That just means they are taking off 40% off the original price.

I hope this helps!

pls ❤ and mark brainliest pls!

Simplify this algebraic expression with the steps

Answers

The answer is 12x^2-1.
Twelve x to the second power minus 1

round off 1,246,193 to the nearest thousands​

Answers

Answer:

1,246,193 rounded to the nearest thousands is 1,246,000

Because the digit next to the thousands place (The hundreds place) is less that 5, it is 1 therefore you keep the digit the same in the thousands place and make the rest a 0.

Answer:

1,246,000

Step-by-step explanation:

1,246,193

The 6 is in the thousands place

We look at the hundreds place

1 is in the hundreds place,  Since it is 4 or less, we leave the thousands place alone.

1,246,000

Which of the following is a common multiple of 4 and 10?
A 100
B 104
C 90
D 110

Answers

A 4x25=100 10x10=100 making 100 a common multiple of 4 and 10.

Answer:

A) 100

Step-by-step explanation:

When looking for a common you can move up the times tables of each number until you find a matching pair. 10x10=100 and 4x25=100. By looking for common answers through the times tables you can more easily find a common multiple.

Whats the answer to it i can't figure it out

Answers

Answer:

-0.1

...............................

Answer:

-0.1

Step-by-step explanation:

-1/7 = -0.142857

-0.1 = -0.10

-0.1 > -1/7

I need it help to find which statement is true ASAP!

Answers

Answer:

The first option

Step-by-step explanation:

If you check the first one we can verify that WX and ZY are perpendicular as shown with the 90 degree mark then we can see that WX is parallel with AB.

Write the decimal as a fraction .014

Answers

Answer:

14/100

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

14/1000 which reduces to 7/500.

hope this helps !

for the following geometric sequence find the explicit formula. {12, -6, 3, ...}​

Answers

Answer:

It's geometric sequence where a_1=12, q=-\dfrac{1}{2}a

1

=12,q=−

2

1

So a_n=12\cdot\left(-\dfrac{1}{2}\right)^{n-1}a

n

=12⋅(−

2

1

)

n−1

Answer:

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex]

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 12 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-6}{12}[/tex] = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 12 [tex](-\frac{1}{2}) ^{n-1}[/tex] ← explicit formula

Find x- and y- intercepts given the following representation

Answers

Step-by-step explanation:

x intercept is 1

y intercept is 2

Hope it helps

X= 1 y= 2 that’s ur answer

Calculate the distance between the points -8,2 and 3,2 on a coordinate plane

Answers

(-8,2)(3,2)

[tex]\\ \rm\Rrightarrow \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{(3+8)^2+(2-2)^2}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{11^2}[/tex]

[tex]\\ \rm\Rrightarrow 11[/tex]

If you were to take a longitudinal section from a long cylinder, what shape would you get? Question 23 options: A circle A parallelogram A square A rectangle

Answers

Answer:

A Rectangle

Step-by-step explanation:

A longitudinal section means that the plane slicing the cylinder is vertical, just as a latitudinal section means that the slice is horizontal.

When you think about it, a flat slice of a cylinder in the vertical direction is a rectangle.

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle. Then the correct option is B.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

If you were to take a longitudinal section from a long cylinder.

Then the shape we get will be

If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle.

More about the cylinder link is given below.

https://brainly.com/question/3692256

If f(x)=10x+7 and g(x)= x^2-7x, find (f-g)(x).

Answers

Answer:

Choice C. [tex](f-g)(x)=-x^2+17x+7[/tex]

Step-by-step explanation:

Recall that [tex]f-g[/tex] is defined by

[tex](f-g)(x)=f(x)-g(x)[/tex]

Therefore we compute

[tex](f-g)(x)=f(x)-g(x)=10x+7-x^2+7x=-x^2+17x+7[/tex]

Can someone help me with this question? please​

Answers

Answer:

6 cm3

Step-by-step explanation:

3 x 2 x 1 = 6

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