Show all work to multiply
(3+ square root -16) (5 – square root -25)

Answers

Answer 1

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]


Related Questions

f(x) = x – 3
g(x) = x^2 + 1
Find:
f(g(x)) =

PLEASE HELP WILL MARK BRAINLIEST!!

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf{f(x) = x - 3}[/tex]

[tex] \sf f(g(x)) = g(x) - 3[/tex]

[tex] \sf{f(g(x)) = ({x}^{2} + 1}) - 3[/tex]

[tex] \sf{f(g(x)) = {x}^{2} - 2}[/tex]

you can further simplify to get ~

[tex] \sf{(x + \sqrt{2} )(x - \sqrt{2} )}[/tex]

the difference of 3 times a number and 18 is 39 what is the number

Answers

The answer is 13 because if you divide 39 by 3 you will get your answer.

Answer: 39

(3*(19))-18 = 39

57-18 = 39 we have the correct answer

Please help me with equation and more points for you if you can help me with how to approach these types of questions in the future, thanks!

Consider the following formula:

T = 4S – 1

Which of the following statements is true for this formula?

A. If S is greater than 0.5, T is positive.
B. If S is less than 1, T is negative.
C. If S is less than -0.25, T is positive.
D. If S is less than 0.25, T is positive.

Answers

A. If S is greater than 0.5, T is positive.

The others are false

Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.
.
The sum is

Answers

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts

Answers

Answer:

It's be 60 because 30% of 60 is 18. Hope that helped :)

Pls help , congruent triangles exercise.

Answers

Step-by-step explanation:

We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.

First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)

Next, The problem states that KK' and LL' are equal. (so that gives our S)

Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)

Hope this helped :D

Four times a number is equal to the number increased by 24 find the number

Answers

Answer:

8

Step-by-step explanation:

Let the number is x.

Translate the given into equation and solve for x:

4x = x + 244x - x = 243x = 24x = 8

х Y
2 4
4 5
7. 6.5

Write the equation of the line represented by the table

Answers

Answer:

y = 0.5x + 3

Step-by-step explanation:

Don't answer this question

Answers

Answer:

Ok

Step-by-step explanation:

A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.

A: their down payment is what percent of the purchase price?

B.what percent of the purchase price would a 108,000 down payment be ?

Answers

Answer:

A. 30% B. 45%

Step-by-step explanation:

A. 72,000/240,000 = x/100

(72,000)(100) = (240,000)x

7,200,000 = 240,000x

30 = x

B. 108,000/240,000 = x/100

10,800,000 = 240,000x

45 = x

1plss help, it time.............................

Answers

Answer:

24 in

Step-by-step explanation:

Compare "like" things:

Big/small = Big/small

30/L = 10/8

Crossmultiply

240 = 10L

Divide by 10

240/10 = 10L/10

24 = L

Help. How to solve this equation.

Answers

Step-by-step explanation:

x-8/2 = x-5/5

5(x-8) = 2(x-5)

5x-40 = 2x-10

3x= 30

x = 10

Answer:

x = 10

Step-by-step explanation:

[tex]\frac{x-8}{2}[/tex] = [tex]\frac{x-5}{5}[/tex] ( cross- multiply )

5(x - 8) = 2(x - 5) ← distribute parenthesis on both sides

5x - 40 = 2x - 10 ( subtract 2x from both sides )

3x - 40 = - 10 ( add 40 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

If the sales tax in your town was 7%, and you paid $1,400 in sales tax on your new car, then what was the original
price of the car? And what is the total price including sales tax?
Please be accurate of your answer and explain.

Answers

Answer:

$20,000

Step-by-step explanation:

20,000 / 0.07 = 1400

Someone help, thanks

Answers

Answer:

i speak very little english sorry

Step-by-step explanation:

which relation is a function?​ PLEASE HELPPPPP

Answers

Step-by-step explanation:

in the first

x =2y

actually I don't think that I can get the last two relations


Find the area of the equilateral triangle.

Answers

Answer:

try 6.93 for answer on equilqteral triangle

Mrs. Clark's plant is 4/3 4 inches tall. It is 1/7 8 inches taller than Jimmy's plant. How tall is Jimmy's plant? Enter your answer as a simplified mixed number by filling in the boxes. $$ in.

Answers

Answer:

克拉克夫人的植物高 4/3 4 英寸。它比吉米的植物高 1/7 8 英寸。何

A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.

Answers

According to the two-way table, the correct option is:

10% of her customers ordered an appetizer and dessert.

From the table, it is taken that:

0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.

Hence, the highlighted 0.1 = 10% means that:

10% of her customers ordered an appetizer and dessert.

You can learn more about two-way tables at https://brainly.com/question/24670062

How do you solve this??

Answers

Answer:

look it up in internet and find th right answers

Answer:

g(x)=3|x| is the first box

f(x)=1/3|x| is the second box

Step-by-step explanation:

you can solve these type of questions by looking at the slope which is in front of the x.

since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster

help pls :) solve x+4/3 = 3/x-4
i’ve also attached a picture of the problem if you get confused on the typing

Answers

Answer:

x= 5 or x= -5

Step-by-step explanation:

[tex] \frac{x + 4}{3} = \frac{3}{x - 4} [/tex]

Cross multiply:

(x +4)(x -4)= 3(3)

Expand:

[tex]\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

[tex]x = ± \sqrt{25} [/tex]

x= 5 or x= -5

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

also read similar questions: Solve the expression and find the value of x. [tex] \frac{x⁠…

https://brainly.com/question/25420312

Can some one help me solve this x+3/2+3x/7 = 7

https://brainly.com/question/25742683

Can i get some help with this inductive reasoning test, the answer and the explanation please. Thank you.

Answers

Answer:

8, 2.

Step-by-step explanation:

2*4 is 8 so I think line them up together and 12/6 is 2

help me plzzz its too hard

Answers

23.27
- 5.3
______
17.97

83 devided by 3, with remainders

Answers

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

ANSWER: 81 = 27 x 3 + 2
Ok done. Thank to me :>


Help please and thanks!

Answers

okay. first you must get the properties of a triangle. all three angles are 180 degrees in total. the angle of a straight line is also 180 degrees. both the triangle and the straight line shares the same angle ACB. so you can conclude that 5x-35 = 2x+58

-2x from both sides and 3x-35= 58

so 3x = 58+ 35= 93

x= 31

ABC = 31x2 = 62

BCA = 180-58-62= 60 degrees

please give me brailiest . thanks!

Answer:

x =31°

ABC is 62°

BCA IS 60°

I HOPE THIS IS HELPING

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?

Answers

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
[tex]y = {x}^{2} [/tex]
[tex]y = 4x[/tex]
; about the y-axis​

Answers

well, first off, when it comes to volumes by rotation, we'd want to graph them, Check the picture below.  Our rotation over the axis will give us a "washer", so we'll be using the washer method.

now, our axis of rotation is the y-axis or namely x = 0, x = 0 is a vertical line, meaning we have to put the functions in y-terms, that is in f(y) form

[tex]y = x^2\implies \pm\sqrt{y}=x\implies \boxed{\pm\sqrt{y}=f(y)} \\\\\\ y = 4x\implies \cfrac{y}{4}=x\implies \boxed{\cfrac{y}{4}=g(y)}[/tex]

if we look at the picture, the parabola is the farthest from the axis of rotation and the line is the closest, or namely R² and r² respectively.

the way I get the area for R² and r², is by using the same I do with "area under the curve", so if I say call the axis of rotation h(y), the way I get the area is

R => f(y) - h(y)

r => g(y) - h(y)

so let's proceed.

[tex]\textit{area under the curve}\\ \begin{array}{llll} \sqrt{y}- 0\implies &\sqrt{y}\\ \frac{y}{4}-0\implies &\frac{y}{4} \end{array}\qquad \qquad \begin{array}{llll} \stackrel{R^2}{(\sqrt{y})^2}-\stackrel{r^2}{\left( \frac{y}{4} \right)^2}\\[-0.5em] \hrulefill\\ y\qquad -\qquad \frac{y^2}{16} \end{array}[/tex]

now, we want to get the area enclosed by both, and thus we'd need their points of intersection, setting both to [tex]\sqrt{y}=\cfrac{y}{4}[/tex]  which in short gives us the bounds of 0 and 16.

[tex]\pi \displaystyle\int_{0}^{16}\left( y - \cfrac{y^2}{16} \right)dy\implies \pi \int_{0}^{16}y\cdot dy-\pi \int_{0}^{16}\cfrac{y^2}{16}\cdot dy\\\\\\\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^{16}-\pi \cdot \left. \cfrac{y^3}{48} \right]_{0}^{16}\implies 128\pi -\cfrac{256\pi }{3}\implies \boxed{\cfrac{128\pi }{3}}[/tex]

what The Potageriterum ​

Answers

Answer:

Thick soup."coarse, spicy potage"

A potage is a category of thick soups, stews, or porridges, in some of which meat and vegetables are boiled together with water until they form into a thick mush.

Hope this helps you !!

Guys I need your help

There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound

Answers

Answer:

multiply

16

Step-by-step explanation:

yeah-ya....... right?

Use the graph to find the distance between point A and Point E.

Answers

Answer:

7

Step-by-step explanation:

Alyssa’s bank charges $0.15 for each check written, $0.25 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssa’s checking account activity for December.

HLEPPPP huryyyyyyy

Answers

Answer:

Correct answer: 2.25

Other Questions
For this project, you will have several choices! Choose ONE (1) of these three options:Option 1:You may choose to write a traditional 5-paragraph compare-and-contrast essay about the two Mark Twain texts. If you do this, you should follow these guidelines:Paragraph 1This should be an introduction of the two texts, ending with a thesis statement that explains how the three literary elements you will focus show that the texts are more similar or more different.Paragraphs 2, 3, and 4Each of these body paragraphs should focus on one of the terms from your prewriting activity. You should explain the evidence of that term in each text, and how this shows their similarities or their differences.Paragraph 5This concluding paragraph should summarize what you have presented in your body paragraphs and contain a final sentence that rephrases your thesis.Option 2:You may choose to do a slideshow presentation about the two texts. If you do this, you should follow these guidelines:You should have a minimum of 8 slides (not counting a title slide for your presentation).Slide 1This should be a paragraph introduction of the 2 texts, including a thesis statement that states whether these texts have more similarities or more differences.Slides 2-7These slides should be in the "Title and 2 columns" format. The title of the slide should be one of the literary terms, and in each box you should explain how that term is represented in each text (your prewriting notes will be very helpful here!)Slide 8This should be a few concluding sentences, and you should state which of the terms you covered in the previous slides best prove that the two texts are more alike or more different.Option 3:You may choose to create a video (remember the Forest Service official who was contrasting the two volcanoes?) in which you follow these guidelines:Begin by giving the viewer an explanation of what these two texts are.State definitely whether you will be talking about how similar or how different these two texts are.Using a minimum of three of the literary terms as your criteria, explain how each one relates to the text. These explanations should prove the statement you made (whether the two texts have more similarities or more differences).Conclude your video with a final statement about the two texts.See the rubric attached to the assignmentmake sure you keep referring to this as you complete your work so that you will get all of the points possible. solve the system of equations please help If a shirt for RS 18 is marked up to RS 20 then the percentage increase is equal to Which of the following are functions of an animal's movement structures like wings, legs, or fins? Select the two correctanswers. (1 point)identifying foodkeeping out bacteria and virusesmigrating to mating spotso escaping from predatorsprotection from elements Seven less than one-fourth of a number is 2. What is the number? suppose you want to change your school and join another one which is very expensive.make a list of the possible risks while joining another school. Help me I need it plz Which condition in the figure below willprove l || m? Determine whether it is possible to form a trianglewith side lengths 5, 7, and 8.O yesno Near is to remote as similar is to A) same B) farC) different D) value A line passes through the point (-4, 7) and has a slope of -5/4Write an equation in slope-intercept form for this line. How i can usea the distribute property on this equation? Someone help me out pls what is the meaning of hindi word yesterday (was /were) a busy day for us Pls help me guys .................. The body mass index, I, can be used to determine an individual's risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by700Wthe formula, or model, I=where W= weight, in pounds, and H = height, in inches. Jerome is 70 inches tall. What weights will keep his body mass indexH2between 20 and 28? Compare the values.9 x 10^2 is?times as much as 3 x 10^-2. HHEELLPPPP PPLLEEAASSEEEHow did the Roman Catholic Church respond to the spread of Protestantism?It sent armies to attack German states.It increased the power and reach of the Inquisition.It agreed to print the Bible in German and English.It did away with most of the Catholic rituals. #3) They say they have 50 total coins together made up of dimes and quarters. They also say that they have $7.25 total. How many quarters do they have? A. 10B.15.C.20.D.25