What is the following product?

What Is The Following Product?

Answers

Answer 1

Answer:

D

Step-by-step explanation:

(5√2 - 4√3)^2 =

50 + 48 - 40√6 = 98 - 40√6


Related Questions

In ΔFKR, which side is included between ∠F and ∠R?

Answers

Answer:

First choice

Step-by-step explanation:

It gives you the endpoints of the included side, F and R. Therefore, the side is FR or RF.

A man earned $3000 the first year he worked. If he received a raise of $600 at the end of each year, what was his salary during the 15th year?

A) $8400
B) None of these
C) $11,400
D) $12,000

Answers

Answer:

$11,400

Step-by-step explanation:

3,000+14(600)=11,400

We know that it expands by $600 a year and we are looking for the salary during the 15th year.  During the 15th year, it could be using the salary of the 14th year since it is during not after.  We then add that to the base salary of $3,000 so then we have $11,400.

Which table shows a proportional relationship between a and b?

Answers

Answer:

It is c

Step-by-step explanation:

63.89 X n = .6389 Solve for n *
A. 10
B. 100
C. .01
D. .1

Answers

Answer:

c. .01

Step-by-step explanation:

.6389 divided by 63.89

(C)
63.89*n=.6389

.6389/63.89=n
0.01=n

Completing the Square
2. Solve the equation by completing the square. Show your work.
x2 – 30x = –125
Step 1: Add (b/2)^2 to both sides of the equation. (2 points)


Step 2: Factor the left side of the equation. Show your work. (2 points)
Hint: It is a perfect square trinomial.



Step 3: Take the square root of both sides of the equation from Step 2. (1 point)


Step 4: Simplify the radical and solve for x. Show your work. (1 point)

Answers

Answer:

See below

Step-by-step explanation:

Step 1

x^2 – 30x = –125

-30/2 = -15

(-15)^2 = 225

Step 2

x^2 -30x+225 = -125+225

(x-15)^2 = 100

Step 3

Take the square root of each side

sqrt((x-15)^2) = sqrt(100)

Step 4

x-15 = ±10

x-15 =10    x-15 = -10

x= 10+15    x = -10 +15

x = 25      x = 5

what is the value of i^n if the remained of n/4 is 2
A. i
B. -i
C. -1
D. 1

Answers

Answer:

5

Step-by-step explanation:

No idea how to do

[tex]\frac{4r + 20}{r + 5}[/tex]

when r ≠ 5 ?

Answers

Factorize the numerator:

4r + 20 = 4r + 4×5 = 4 (r + 5)

I think you meant to say r ≠ -5, which means r + 5 ≠ 0, so that the denominator is never zero and so the expression is defined (no division by zero). This lets you cancel the factor of r + 5 in the numerator with the one in the denominator:

(4r + 20)/(r + 5) = 4 (r + 5)/(r + 5) = 4


Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If x+2 is a factor of x^3-6x^2-11x+k then k=

Answers

Answer:

k=10

Step-by-step explanation:

Brainliest please~

Answer:

K=10

Step-by-step explanation:

Correct on Plato

The cost price of an electric fan is Rs. 2800. If the shopkeeper marks its price 30℅ above the cost price and sells it at 10℅ discount, how much should a customer pay for it with 15℅ VAT?

Answers

Answer:

The customer will pay along with VAT = Rs 3767.4

Step-by-step explanation:

Cost price of an electric fan = 2800

Pirce after 30% above the cost price = 2800 + (30% of 2800 = 3640

Selling price after 10% discount = 3640 - (10% of 3640) = 3276

Now 15% VAT = 3276 x 15%

15% VAT = 491.4

The customer will pay along with VAT = 3276 + 491.4  

The customer will pay along with VAT = Rs 3767.4

Help!! Please! appreciate it !!

Answers

Answer:

I'm pretty sure you are intended to pick AAS.

Step-by-step explanation:

As it stands, AAS. But this can be an unreliable theorem. If you show that the third angles are equal (which they are) using the fact that if two angles of a triangle are equal to the corresponding angles of another triangle, then the third angle is as well. That means that you can use the much more reliable ASA.

Can someone help me with this math homework please!

Answers

Given:

The sequence is:

-3, 5, -7, 9, -11,...

To find:

The correct statement about the given sequence.

Solution:

We have,

-3, 5, -7, 9, -11,...

Here, "..." means there are more terms in the sequence. So, the sequence has more than 5 terms and option A is incorrect.

From the given sequence it is clear that the 4th term is 9. So, option B is correct.

Clearly, 5th terms is -11. So, [tex]f(5)=-11[/tex] and option C is incorrect.

The domain of a sequence is always the set of natural numbers. So, option D is correct.

In the given sequence the 4th term is 9. It means the point (4,9) lies on the graph of the sequence. So, option E is correct.

Therefore, the correct options are B, D, E.

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

1/9
9
-9
-1/9

Pls answer​

Answers

Answer:

[tex]\boxed{\sf a = 9 }[/tex]

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

[tex]\sf\longrightarrow 3x - 2y +7=0 [/tex]

[tex]\sf\longrightarrow 6x +ay -18 = 0 [/tex]

Step 1 : Convert the equations in slope intercept form of the line .

[tex]\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}[/tex]

and ,

[tex]\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a} [/tex]

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

[tex]\sf\longrightarrow Slope_1 = \dfrac{3}{2} [/tex]

And the slope of the second line is ,

[tex]\sf\longrightarrow Slope_2 =\dfrac{-6}{a} [/tex]

Step 3: Multiply the slopes :-

[tex]\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1 [/tex]

Multiply ,

[tex]\sf\longrightarrow \dfrac{-9}{a}= -1[/tex]

Multiply both sides by a ,

[tex]\sf\longrightarrow (-1)a = -9 [/tex]

Divide both sides by -1 ,

[tex]\sf\longrightarrow \boxed{\blue{\sf a = 9 }} [/tex]

Hence the value of a is 9 .

i will brainliest
avoid spam

Express each of the following percentages as a fraction and simplify it.

(i) 25% (ii) 40% (iii) 16% (iv) 150%

(v) 120% (vi) 58% (vii) 32% (viii) 175%

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{25\%=\dfrac{25}{100}=\dfrac{1}{4} }[/tex]

[tex]\sf{ 40\%=\dfrac{40}{100}=\dfrac{2}{5} }[/tex]

[tex]\sf{16\%=\dfrac{16}{100}=\dfrac{4}{25} }[/tex]

[tex]\sf{150\%=\dfrac{150}{100}=\dfrac{3}{2} }[/tex]

[tex]\sf{120\%=\dfrac{120}{100}=\dfrac{6}{5} }[/tex]

[tex]\sf{58\%=\dfrac{58}{100}=\dfrac{29}{50} }[/tex]

[tex]\sf{32\%=\dfrac{32}{100}=\dfrac{8}{25} }[/tex]

[tex]\sf{175\%=\dfrac{175}{100}=\dfrac{7}{4} }[/tex]

[tex]\sf{ }[/tex]

[tex]\sf{ }[/tex]

[tex]\sf{ }[/tex]

[tex]\sf{ }[/tex]

[tex]\sf{ }[/tex]

[tex]\sf{ }[/tex]

[tex]\hookrightarrow\sf{ 25\% =\dfrac{25}{100}=\boxed{\bf \dfrac{1}{4} }} \\\hookrightarrow\sf{ 40\% =\dfrac{40}{100}=\boxed{\bf \dfrac{2}{5} }} \\\hookrightarrow \sf{16\%=\dfrac{16}{100}=\boxed{\bf\dfrac{4}{25}} } \\ \hookrightarrow\sf{150\%=\dfrac{150}{100}=\boxed{\bf\dfrac{3}{2} }} \\ \hookrightarrow\sf{120\%=\dfrac{120}{100}=\boxed{\bf\dfrac{6}{5} }} \\\hookrightarrow \sf{58\%=\dfrac{58}{100}=\boxed{\bf\dfrac{29}{50}} } \\\hookrightarrow \sf{32\%=\dfrac{32}{100}=\boxed{\bf\dfrac{8}{25} }} \\ \hookrightarrow\sf{175\%=\dfrac{175}{100}=\boxed{\bf\dfrac{7}{4}} } \\ [/tex]

Rate of Change: Based on the equation determine the rate of change by looking at the coefficients.

Hint: Remember: y=mx+b (m=slope)

1. y=-x+ 3
2. y=3x-1
3. y= 8 + x2

Answers

Answer:

1) -1

2) 3

3) 2

Graph the following equations by plotting 3 points and then connecting the points to form a line. Show your work to find the 3 points and then list the ordered pairs you used as part of your answer.

Answers

Answer:

The way I would tackle these types of problems would be to make a table, then graph the points using the results I get.

Step-by-step explanation:

So explaining the table is kinda hard since I suck at explaining, so I've attached a file showing the table I've made for number 1.

First Step:

Make the table. Make it a 3x4 table. For the top row, put y, the equation (I put 'y=2x' as shown in number 1), then x. Then for the left column, go down by one box, then put: -1, 0, 1. Really, you can put any numbers, but to make it easy for yourself, just write the numbers I've listed. These will be your y-values you'll be substituting.

Second Step:

a.) Plugging in the numbers. For the middle column, I've put down y=2x in each box, as shown in my table. Then for each of those boxes, plug in the numbers to the left of them and substitute them for the y-value. For example, look at the second row. The left box has '-1', so I replaced the 'y' in the equation and got '(-1)=2x'.

b.) After substituting the y-values, solve for x. For this case, you'll need to divide both sides by 2. If it doesn't make much sense, think about a seesaw. If you have 5 pounds on both sides, the seesaw will stay balanced. Add an additional 5 pounds to one side, then the seesaw will start tipping towards the heavier sides. So in order to keep an equation balanced, you must do any action to both sides of the equation. After diving both sides by 2, you'll get the value for x.

Final Step:

After finding the x-values for each of the y-values, it's time to graph the equations. Remember, x is left to right and y is down to up. To graph them, let's use the second row for example. y=-1 and x=-0.5. So all you need to do is to start from the origin (0,0), then go half a unit to the left, as x is negative, then go a unit down, as y is negative, then make a point. The rest should be pretty straight forward.

After making all three points, just get a ruler or any straight edge, then align it along those three points, then just make a line, and boom! You've solved number 1! For the purpose of saving my time, I'm pretty sure you can solve the rest using what I've just told you. Good luck!

Can someone please help, I'll give out 20 points !

Question - Where is the blue point on the number line?

Answers

I believe it would be negative three (-4) since the lines are thinner however; there is a chance they are skip counting by 2. In that case the answer would be negative six (-6).

Answer:

-6

Step-by-step explanation:

The number line is created by skip counting of 2.

So, -2 ,  then -4 and then -6.

So,  blue dotted point is (-6)

Make d the subject h=d/3+2

Answers

Answer:

[tex]d = 3h - 6[/tex]

Step-by-step explanation:

Step 1:  Solve for d

I am assuming that you are asking for me to solve for the variable d.  Let me know if what I am doing is not what you want.

[tex]h = \frac{d}{3} + 2[/tex]

[tex]h - 2 = \frac{d}{3} + 2 - 2[/tex]

[tex](h - 2) * 3 = \frac{d}{3} * 3[/tex]

[tex]3h - 6 = d[/tex]

Answer:  [tex]d = 3h - 6[/tex]

what is the solution to this equation?
5x-4+3x=36

A. x=16
B. x=5
C. x=20
D. x=4

Answers

B. x = 5

tip : if in a rush just plug in the number and see if its true

8x - 4 = 36

x = 5

Part B
Question
Type the correct answer in the box.
The y-intercept of the parent function, f(x), is
I
The y-intercept of the child function, g(x), is

Answers

Answer:

The y-intercept of the parent function, f(x), is 0

The y-intercept of the child function, g(x), is  7

Step-by-step explanation:

Since the parent function passes through the origin, its y-intercept is 0. Once the function is translated 7 units up, its y-intercept is 7.

The solution is :

Vertex is (-2, 0)

y-intercept is 4.

What is vertex?

In geometry, a vertex is a point where two or more curves, lines, or edges meet. As a consequence of this definition, the point where two lines meet to form an angle and the corners of polygons and polyhedra are vertices.

here, we have,

to find the function translated 2 units left, we just need to substitute the 'x' in the equation by 'x+2':

f(x) = (x+2)^2 = x2 + 4x + 4

Then, to find the vertex, we can use the formula:

x_v = -b / 2a

x_v = -4 / 2 = -2

Now, finding the y_vertex, we have:

f(x_v) = (-2)^2 + 4*(-2) + 4 = 0

So the vertex is (-2, 0)

To find the y-intercept, we make x = 0 and then find f(x):

f(0) = 0 + 0 + 4 = 4

So the y-intercept is 4.

To learn more on vertex click:

brainly.com/question/12563262

#SPJ2

complete question:

Identify the vertex and y-intercept of the graph of the function translated 2 units left from the parent function f(x) = x².

vertex: ( ? , ? )

y-intercept: ?

find area of shaded region by using formula a^2-b^2.​

Answers

Answer:

216 cm^2

Step-by-step explanation:

15^2 -3^2 = 225 -9

= 216

Which of the following represents x = 1/3y written in general form?
3x - y = 0
X-1/3y=0
1/3x-y=0

Answers

Answer:

x-⅓y=0

Step-by-step explanation:

thats the answer

brainly please

Answer: 3x-y=0

Step-by-step explanation:

X = 1/3y

X × 3 = 1/3 y × 3

3x = y

3x - y = y- y

3x- y = 0

Dan is on his way home in his car. He has driven 10 miles so far, which is one-half of the way home. What is the total length of his drive?

Answers

Answer:

20 miles

Step-by-step explanation:

10miles × 2 = 20miles

Half of 20 equals 10,
20 miles is the total length of his drives in miles.

Whats his mistake and the correct awnser

Answers

Answer:

θ ≈ 35.7°

Step-by-step explanation:

His mistake was in using the wrong trig. ratio

Instead of using cosine he should have used the sine ratio

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{12}[/tex] , then

θ = [tex]sin^{-1}[/tex] ([tex]\frac{7}{12}[/tex] ) ≈ 35.7° ( to the nearest tenth )

Which equation represents a line that passes through ( -2 , 4 ) and has the slope of 2/5

Answers

Answer:

y = 2/5x +24/5

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/5 x +b

Substitute the point into the equation and solve for b

4 = 2/5(-2)+b

4 = -4/5 +b

Add 4/5 to each side

20/5 +4/5 = b

24/5 = b

y = 2/5x +24/5

Can you use the SSS Postulate to prove QPS≈QRS?

by SAS only
by SSS only
both apply
neither apply

Answers

Answer:

by SAS only

Step-by-step explanation:

based on the diagram we only have one side and one angle explicitly identified as equivalent.

but we have an implicit confirmation of the second side QS to the enclosed angle, because the triangles are presented that this side is the same for both triangles.

so, SAS applies (but no other, as we don't have any information on the 3rd side).

Use elimination to solve the system 4x + 7y = –14 and 8x + 5y = 8 for x. Round to the nearest tenth.

Answers

Answer:

X= 7/2

Step-by-step explanation:

Multiply first equation by -2 and second equation by 1

-2(4x+7y=-14)

1(8x+5y= 8)

= -8x -14y =28

8x+5y=8

Add these equations to eliminate X:

-9y=36

-9y/-9 = 36/-9

y=- 4

Plug in Y to find X

4x + 7y = -14

4x+7(-4) = -14

4x-28+28= -14+28

4x= 14

X= 7/2

Answered by Gauthmath

Answer: x=3 and 1/2

Step-by-step explanation: Happy to Help (0.<)

When a boy stands on the bank of a river and looks across to the other bank, the angle of depression is 12°. If he climbs to the top of a 10 ft tree and looks across to other bank, the angle of depression is 15°. What is the distance from the first position of the boy to the other bank of the river? How wide is the river? Give your answers to the nearest foot.

Answers

Please look at the scanned picture.

Building 1 (Circle) : Rotate 270 degrees counterclockwise around the origin. Building 2 (Square): Reflect across the y axis. Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left. Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A'' (–3, 1), B'' (–6, 1), C'' (–6, –4), and D'' (–5, –4). Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as some coordinates to transform are not given.

I will, however, give a general explanation.

Rotate circle 270 degrees counterclockwise

This implies that, we rotate the center of the circle and the rule of this rotation is:

[tex](x,y) \to (y,-x)[/tex]

Assume the center is: (5,3), the new center will be: (3,-5)

Reflect square across y-axis

The rule is:

[tex](x,y) \to (-x,y)[/tex]

If the square has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

Reflect triangle across y-axis, then 3 units up and 2 units left

The rule of reflection is:

[tex](x,y) \to (-x,y)[/tex]

If the triangle has (3,5) as one of its vertices before rotation, the new point will be (-3,5).

The rule of translating a point up is:

[tex](x,y) \to (x,y+h)[/tex] where h is the unit of translation

In this case, h = 3; So, we have:

[tex](-3,5) \to (-3,5+3)[/tex]

[tex](-3,5) \to (-3,8)[/tex]

The rule of translating a point left is:

[tex](x,y) \to (x-b,y)[/tex] where b is the unit of translation

In this case, b = 2; So, we have:

[tex](-3,8) \to (-3+2,8)[/tex]

[tex](-3,8) \to (-1,8)[/tex]

The L shape

[tex]A = (3, 8)[/tex]       [tex]A" = (-3, 1)[/tex]

[tex]B = (6, 8)[/tex]       [tex]B"= (-6, 1)[/tex]

[tex]C = (6, 3)[/tex]       [tex]C" = (-6, -4)[/tex]

[tex]D = (5, 3)[/tex]       [tex]D" = (-5, -4)[/tex]

Required

The transformation from ABCD to A"B"C"D"

First, ABCD is reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]A' = (-3,8)[/tex]

[tex]B' = (-6,8)[/tex]

[tex]C' = (-6,3)[/tex]

[tex]D' = (-5,3)[/tex]

Next A'B'C'D' is translated 7 units down

The rule is:

[tex](x,y) \to (x,y-7)[/tex]

So, we have:

[tex]A"= (-3,8-7) = (-3,1)[/tex]

[tex]B"= (-6,8-7) = (-6,1)[/tex]

[tex]C"= (-6,3-7) = (-6,-4)[/tex]

[tex]D"= (-5,3-7) = (-5,-4)[/tex]

The blue dot is at what value on the number line?

Answers

Answer:

[tex]8[/tex]

Step-by-step explanation:

Hope it helps you:D

*copied*

Answer:

"8"

4,6,8

Step-by-step explanation:

Given sin
=
=
V23 and tan o
find cos 0.
23
11 )
12
?
COS 0 =
TO

Answers

Answer: [tex]\frac{11}{12}[/tex]

Step-by-step explanation:

Use trigonometry (shown in image below) to find the 3 side-lengths:

The side opposite of θ = [tex]\sqrt{23}[/tex]The base side adjacent to θ = 11The hypotenuse = 12

According to right triangle trigonometry:

cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Substitute in the values:

cos θ = [tex]\frac{11}{12}[/tex]

Other Questions
Which best describes the authors viewpoint toward the actual Rosetta Stone in "The Rosetta Stone? The firm has bonds with par value of 10,000,000 VND, coupon rate of 11%, annual interest payment, and the remaining maturity period is 07 years. If the bond's interest rate and current risk level have a return rate of 12%, what price should company C sell the bond in the present?a. 10,000,000b.14,152,000c.12,053,000d. 11,150,000 What are the x-intercepts of the parabola? A: (4.5, 0) and (5, 0)B: (0, 4.5) and (0, 5)C: (0, 5) and (0, 4)D: (5, 0) and (4, 0) Which of the following is not a function of protein?A. Supplies the body with energy.O B. Helps keep the body warm. O C. Helps build and maintain muscles.O D. Helps fight off infection. The over-the-counter securities market Multiple Choice is similar to organized stock exchanges. does not include illiquid bank stocks. does not trade corporate bonds. does not have a central location. accounts for the least total dollar value of all of the secondary markets. 7/18 - 1/3 , 1/2 - 1/5 - 1/10 and 3 1/2 - 2 5/9 please help thank you simplify 6[5{6(5-2)}]answer correctly i will give brainliest. Can you define why nepal is known as peace country.. PLEASE HELP IM TAKING AN ASSESSMENT what situation allowed authoritarian governments to flourish in the 1920s? Use the distributive property to remove the parentheses.-5(6u - 4w-2) Sort each phrase to the country it best describes? In PyCharm, write a program that prompts the user for their name and age. Your program should then tell the user the year they were born. Here is a sample execution of the program with the user input in bold:What is your name? AmandaHow old are you? 15Hello Amanda! You were born in 2005. 1Select the correct answer.Simplify the following expression.O A.OB. 12Oc. 1OD.64ResetNext I need two examples of Solve a proportion with a mixed number in one of its numerators. SHOW ALL WORK!!!!!!!!!!!! Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow If your body lacks enzymes that break down carbohydrates, it would be unable to get __A__ for energy production. If you lacked the enzyme to digest proteins, you may not absorb enough __B__. what is the hybridisation of the central carbon in CH3C triple bonded to N When the interest rate in an economy decreases, it is likely the result of either a/an ________ or a/an ________. When giving an informal presentation, speakers can best prepare bydressing in a new suit with a fresh haircut.creating graphs and maps to show.adding scientific language to the speech.finding a humorous story to use in the opening. Select the correct answer. This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75I really need one fast I give all my points