Rationalize the denominator:

Please give step by step solution

Rationalize The Denominator:Please Give Step By Step Solution

Answers

Answer 1

Answer:

1 + i

Step-by-step explanation:

To rationalize multiply numerator and denominator by (2 + i )

[tex]\frac{3+i}{2-i}= \frac{3+i}{2-i} \times \frac{2+i}{2+i} = \frac{(3+i)(2+i)}{(2-i)(2+i)} = \frac{6+3i+2i-1}{4-(-1)} = \frac{5+5i}{5} = 1 + i[/tex]


Related Questions

I WILL GIVE BRAINLIEST IF CORRECT!

Find the volume of the cone.

Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth.


Answers

Answer:

130.9 units ^3

Step-by-step explanation:

V=πr2h

3=π·52·5

3≈

7. A prism
has height 20cm and
volume 800cm sq. The area of base​

Answers

answer 8000cm

Step-by-step explanation:

1/2=bxh

1/2×20×800

Answer:

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

A glass marble has a diameter of 16 millimeters. What is the approximate volume of the marble? Use 3.14 for

Answers

Answer:

The volume would be approximately 2143.573333...

What are the x intercepts and y intercept

Answers

the x intercepts would be the right and left number (-5.196,0) (5.196) usually most of times the x intercepts would have negative and positive same answers and they usually run vertically while they y intercepts is where the the x and y intercepts meet they usually meets in the y axis so that would be (0,5.4) that is my way of explaining it.

A bag is filled with red marbles and blue marbles. There are 54 total marbles in the bag and 1/3 of the marbles are blue. Choose the correct option for each

Answers

main khud dhoond rha tha asignment  ke waqt

What are the center and the radius of the circle whose equation is (x-5)^2+(y+3)^2=16

Answers

CENTER : ( 5, -3)

RADIUS : 4

Answer:

Center (5,-3)

radius : 4

Step-by-step explanation:

Radius: is the square root of 16. The square root of 16 = +/- 4.  Minus 4 has absolutely no meaning for a question like this so the radius is 4. Rule take the square root of the counting number on the right.

The center is the value when x - 5 =0 and y + 3 = 0

x - 5 = 0

x = 5

y + 3 = 0

y = -3

Help needed and explained too!!

Answers

Answer:

There are 1680 different ways four letters can be arranged.

Since you are using the permutation formula, plug in the values and solve.

P(n,r) = P(8,4)

= 8! / (8−4)!

= 1680

Spelling out LION is only one of the 1680 possible outcomes. Therefore the fraction 1/1680 would represent this probability.

P(LION) = 1/1680

PLEASE HELP, I REALLY NEED IT!!

Answers

Answer: The answer for the first one is (75,25) and the second one is No

Step-by-step explanation:

1. when the football, is 25 feet high, it has traveled 75 feet abd that is it's highest point

2. No, because when you convert 45 yards to feet it is only going to be 9ft in height.

I hope this helps

Given a sphere with radius r, the formula 477 gives
A. the volume
B. the surface area
C. the radius
D. the cross-sectional area

Answers

B . The surface area

Which triangle is a translation of the gray triangle

Answers

Answer:

Triangle DEF

Step-by-step explanation:

Hi there!

A translation of a shape occurs when all the coordinates of the original image is shifted up, down, left or right by an equal value.

Triangle ABC is a reflection of the grey triangle across the y-axis. We know this because the y-axis acts like a line of symmetry between the two shapes.

Triangle DEF appears as if it's been shifted. Therefore, triangle DEF is a translation of the grey triangle.

I hope this helps!

A small pyramid has 3 stones at the top and 2 more stones in each
layer below this. If the pyramid has 19 layers, how many stones are in the pyramid?


- Help please ?!

Answers

Answer

93

Step-by-step explanation:

There are 399 stones in the pyramid of 19 layers if there are 3 stones at the top and 2 more stones in each layer below this

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A small pyramid has 3 stones at the top and 2 more stones in each layer below this. This can be represented as an arithmetic progression with first term (a) = 3 and difference (d) = 2, hence:

number of stones in 19 layers = [tex]\frac{19}{2}(2(3)+(19-1)2)=399[/tex]

There are 399 stones in the pyramid of 19 layers if there are 3 stones at the top and 2 more stones in each layer below this

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

George and his dad are planning to attend the state fair. An adult ticket is $19.00. The price of an adult ticket is one third the price of a student ticket plus $15.00. Write an equation to determine how much George will pay for a student ticket.

Answers

Answer:

$19 × 3 + $15 + $1=answer? I think

What is the solution to the system of equations ?

Answers

Answer:

A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system. Hope this helps.

Answer:

x= -2.5

y= 5.5

Step-by-step explanation:

sorry if im wrong, have a good day!

by subtacting 7i from 3i we get​

Answers

Answer:

Step-by-step explanation:

according to the question equation is

3i-71

-4i

Answer:

3i - 7i = (3-7)i = -4i

so -4i.

Find the slope of the line that passes through the pair of points
(-9,-6), (5,-1)
A -5/14
B undefined
C 5/14
D 14/5

Answers

Answer:

5/14

Step-by-step explanation:

To find the slope using two points

m = ( y2-y1)/(x2-x1)

   = ( -1 - -6)/( 5 - -9)

   = ( -1 +6)/ ( 5+9)

    5/14

Find the blanks
A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is blank
units. The point (-15, blank) lies on this circle.

Answers

Answer:

c

Step-by-step explanation:

Write an equation of a line that passes through the points (1, 7) and (5, 19) . Give the final form in slope intercept form. (Please no fake answers or Links)

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

slope = (y2 -y1)/(x2 - x1)

y2 = 19

y1 = 7

x2 = 5

x1 = 1

Slope = (19 - 7)/(5 - 1)

slope = 12 / 4

slope = 3

So far what you have is

y = 3x + b                      To solve for b, use either of the two points.

x = 1

y = 7

7 = 3(1) + b

7 = 3 + b

b = 4

The final equation is

y = 3x + 4                    

We should check that with the other  point

x = 5                  Find y

y = 3(5) + 4

y = 15 + 4

y = 19              Ans it checks.

Which is the graph of f(x) = (x - 1)(x + 4)?

Answers

Answer:

The bottom one.

Step-by-step explanation:

You are looking for a graph that passes through the points (-4, 0) and (1, 0) and is traveling upward. This description best matches the bottom graph.

Please help me with this problem

Answers

Answer:

9xy = 3x . 3y

2xyz = 2x . y . z

4x . 4y = 16xy

Answer:

1, 4, 5.

Step-by-step explanation:

1. 3x * 3y is equal to 9y.

4. 2x * y * z is equal to 2xyz, since the grouped variables mean the same thing as multiplied.

5. 4x * 4y is 16xy, because 4 * 4 is 16 and x * y is xy.

What is the sale price for your purchase if you have a 20% off coupon and you buy a shirt for $19.99 and pants for $10.

Answers

Answer: I believe it is $23.99

Explanation:
19.99+10= 29.99
29.99x0.2= 5.992
29.99-5.99= $23.99

I hope this helped!

Factor completely 18x2 − 21x −15. 3(2x + 1)(3x − 5) 3(2x − 5)(3x + 1) 3(2x − 1)(3x + 5) 3(6x + 1)(x − 5)

Answers

Answer:

3(2x + 1)(3x - 5)

Step-by-step explanation:

Given

18x² - 21x - 15 ← factor out 3 from each term

= 3(6x² - 7x - 5 ) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 5 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

6x² + 3x - 10x - 5 ( factor the first/second and third/fourth terms )

3x(2x + 1) - 5(2x + 1) ← factor out (2x + 1) from each term

(2x + 1)(3x - 5)

Then

18x² - 21x - 15 = 3(2x + 1)(3x - 5)

Answer:

A

Step-by-step explanation:

please solve for me simplify (45)-(+14)​

Answers

Answer:

ur answer is 31

Step-by-step explanation:

(45)-(+14)

(-) and (+) would equal -

45-14=31

[tex]31[/tex] ✅

Step-by-step explanation:

[tex](45) - ( + 14) \\ R emoving \: the \: brackets, \: we \: have \\ = 45 - 14 \\ = 31[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(-)\:x\:(+)\:=\:-}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

[please help]What are the values of x and y

Answers

Answer:

536363663737272727 4th july and im present

Please help, I'm about to have a breakdown and I just want to finish

Suppose you draw two coins from a bag containing 10 quarters, 8 dimes, 6 nickles, and 4 pennies. Find the probability of selecting a nickel then a penny with replacing.

Your answer should be in fraction form.

Answers

Answer:

answer is 4.6666666....

Answer:

4.66 is the answer ok gshsjudh

How did I get this????

Answers

basically get the total before discount and multiply it by the percentage so 12•0.15=1.8
which means you save 1.8, so then you subtract 12-1.8 and you receive 10.2

-6 -10
-3 -8
3 -4
6 -2
what is the y- intercept

Answers

Solution :

Let, equation of line is y = mx + c .

Here, m is the slope of the line and c is the y-intercept .

Putting point ( -6, -10 ) in above equation, we get :

-10 = -6m + c  ...1)

Also, putting point ( -3, -8 ) in above equation, we get :

-8 = -3m + c ...2)

Solving equation, 1) and 2) we get :

3m = 2

[tex]m = \dfrac{2}{3}[/tex]  and [tex]c = -6[/tex]

Therefore, y-intercept is -6 .

six and one-third less a number

Answers

Answer:

6 1/3 - x

Step-by-step explanation:

The x represents the unknown number

Please help I need help

Answers

Answer:

x=10

Step-by-step explanation:

To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, [tex]\sqrt{100}[/tex] = 10.

Answer:

It's 10

Step-by-step explanation:

C^2=A^2+B^2blank

C=√(A^2+B^2)

If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10

The mean amount of sleep needed for adults is 503 minutes per night. If the standard deviation for adult sleepers is [s]. What is the Z score associated with sleeping 503 minutes per night?

Answers

Answer:

Z score associated with sleeping 503 minutes = 0 minutes

Step-by-step explanation:

Given values of sleep per night for adults:

Mean value X = 503

Standard deviation σ = s

FInd:

Z score associated with sleeping 503 minutes

Computation:

⇒ P[X = 503]

⇒ P[(x - X) / σ] = [503 - 503] / s

⇒ Z score value = [0] / s

⇒ Z score value = 0

Z score associated with sleeping 503 minutes = 0 minutes

What is the volume of a cylinder if the radius is 7cm and the height is 15.5cm?

Answers

Answer:

2384.83 cm³

Step-by-step explanation:

Volume = πr² * h

Volume = 3.14 * 7² * 15.5

Volume = 3.14 * 49 * 15.5

Volume = 2384.83

If my answer is incorrect, pls correct me!

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

-Chetan K

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