What is the following product?

What Is The Following Product?

Answers

Answer 1

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.


Related Questions

What is the inverse of the function f(x) = 4x + 8

Answers

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

Answer:

x/4 - 2 = y

Step-by-step explanation:

soo switch x and f(x)

x=4y+8

then bring it back to like how it was before

x-8=4y

then

(x-8)/4=y

then simplify

x/4 - 8/4 = y

which can then be simplified to

x/4 - 2 = y

find the value of k for which the quadratic equation 2x^-kx+=0 have equal roots​

Answers

Answer:

I'll email it to you

I need help with how to solve things like this. The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. the distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

8 miles OR 8.0 miles

solve for x
8x+6=10 please help me ASAP

Answers

Answer:

0.5

Step-by-step explanation:

8x+6=10

8x=10-6

8x=4

x=4/8=0.5

Answer
0.5

Step-by-Stet explication
8x=4
x=1/2 or 0.5

How do I solve this problem?

Answers

Answer:

x = 12

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x) *6 = (4+23) * 4

(6+x) *6 = 27*4

6(6+x) = 108

Divide each side by 6

6+x =18

Subtract 6 from each side

6+x-6 =18-6

x = 12

The answer will be x=2

The Expression3(x-9) equivalent to

Answers

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

What is the inverse of the function f(x) =1/4x – 12?

Answers

Answer:

f(x) = 4x + 48

Step-by-step explanation:

Replace the positions of x and y and isolate y to find the inverse of a function.

y = 1/4x – 12

x = 1/4y – 12

x + 12 = y/4

4(x + 12) = y

4x + 48 = y

f(x) = 4x + 48

Marcus saved money from her allowance for some books she wanted to buy. To determine how much money she will save, she used the function rule: y = 6x. Find f (7) A. $13 B. $36 C. $42 D. $49

Answers

Answer:

$42

Step-by-step explanation:

Substitute:

Y = 6x

F = 7

So, Y = 6 * 7 = 42

Answer: 42

Step-by-step explanation:

Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.

I’m thinking it’s complementary?

Answers

Answer:

Complementary angles.

Step-by-step explanation:

Complimentary angles means sum of angles = 90°

Supplementary angles of linear pair means sum of pair of angles = 180°

As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,

a + b = 90°

Angles 'a' and 'b' will be complementary angles.

A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.

Answers

Answer:

So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.

The answer is 12 guests

find the value of each trigonometric ratio. Part 1​

Answers

Answer:  [tex]\bold{2)\ sin\ C=\dfrac{20}{29}\qquad 3)\ tan\ A=\dfrac{8}{15}\qquad 4)\ tan\ Z=\dfrac{4}{3}}[/tex]

Step-by-step explanation:

[tex]2) \sin C=\dfrac{\text{side opposite of}\ \angle C}{\text{hypotenuse of triangle}}=\large\boxed{\dfrac{20}{29}}\\\\\\3) \tan A=\dfrac{\text{side opposite of}\ \angle A}{\text{side adjacent to}\ \angle A}=\large\boxed{\dfrac{8}{15}}\\\\\\4) \tan Z=\dfrac{\text{side opposite of}\ \angle Z}{\text{side adjacent to}\ \angle Z}=\dfrac{40}{30}\quad \rightarrow \large\boxed{\dfrac{4}{3}}[/tex]

Function g can be thought of as a translated (shifted) version of f(x)=x^2.


PLEASE HELP I NEED THISSS!!!

Answers

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

help me out please!!!!

Answers

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

Which table represents exponential growth?
:))))

Answers

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

look at the diagram which angle is adjacent and congruent to angle AOE

Answers

Answer:

Angle EOC.

Step-by-step explanation:

You can observe the figure in the image attached.

Notice that angle AOE is 90°, that is, it's a right angle. (The little red square indicates its perpendicularity).

Now, the adjacent and congruent angle to AOE is angle EOC, because they are on a straight angle, they are supplementary angles and also adjacent angles.

PLZ HELP meeeeeeeeeeeeeeeeeeeee

Answers

please see the attached picture

Hope it helps

Good luck on your assignment,

MY KEY BROKE AND ITS NOT UNNY

PLEASE HELP ME According to this diagram, what is cos 23°?
67
13
5
90°
12
12
O
A.
B.
13
12
0
D.
13
E.
5
12
OF.
12
13

Answers

Answer:

F. [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

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

The hypotenuse of a right triangle is the angle that is opposite and not touching the 90 degree angle. In this case, the hypotenuse is 13.

The adjacent side is the side that is touching the angle but not the hypotenuse. That makes the adjacent side in this case 12.

That means that  [tex]cos = \frac{12}{13}[/tex].

I hope this helps!

Answer:it’s f.12/13

Step-by-step explanation:

big brain

Can anyone help me solve this problem plz need need help asap!

Answers

Answer:

25

Step-by-step explanation:

(-5)^2+10(-5)(2)+25(2)^2

=25+(-100)+100

=25

Hello! For part B your answer will be (x+5y)^2 hope this helps!

Factor the polynomial completely.
(y - 8)^2 - 16

Answers

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

..solve the following as fast as
you can using the properties
of additition and multiplication
a)365+94+35
b)896+423+104
c)379×25×4
d)89×125×8

Pls answer fast

Answers

Answer:

i hope this will help you

Step-by-step explanation:

a 365+94+35

=494

b 896+423+104

=1423

c 379×25×4

=45480

d 89×125×8

=89000

If sin 30º = cos(3x), then x=_

Answers

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{0.01}{0.1}[/tex]

[tex]r=0.1[/tex]

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Answers

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Step-by-step:

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip  head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

URGENT PLEASE HELP ME I SUCK AT GEO

Answers

Answer: 225°

Step-by-step explanation:

Each rotation is 45°

From C to H, there are five rotations

5 * 45 = 225°

Answer:

D: 225 degrees

Step-by-step explanation:

You want to first find the value of each angle that comes in together at point P. To do this, you take 360 degrees/8 degrees. 360 since that is a central angle and 8 because there are 8 congruent angles that make up the central angle. You should get 45 degrees. Then since it takes 5 "45 degree turns" to get onto H, you would do 5 times 45 to get 225.

Urgent! please help!
(row 1-2) Select if each situation represents a nonlinear function, a linear function, or not a function.


Answers

Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

Please answer correctly !! Will mark brainliest !!!!!!!!!

Answers

Answer:

6 seconds

Step-by-step explanation:

h(x) = 0 m , when the ball is on the ground.

h(x) = - (x-2)² + 16

0 = - (x-2)² + 16

(x-2)² = 16

√(x-2)² = +/- √16

(x-2) = 4  ,        (x-2) = - 4

x - 2 = 4  ,         x = -2

x = 6

We can use only positive solution.

PLEASE HELP ME WITH MY MATHS HOMEWORK BELOW
if you answer it correctly i will rate you 5 stars and brainiest

Answers

Answer:

a) 52%

b) 7

Step-by-step explanation:

Total no of grids = 25

Shaded grids = 13

[tex]a) \\Percent \; of \: Shaded\: grids = \frac{13}{25} \times 100 = 13\times 4 = 52\%\\\\b)\\80\% \: of \: 25 =0.80\times 25 = 20\\No \; of \: squares\: more\: than \: 13 = 20 - 13 = 7[/tex]

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Charlie is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2 gallons of ketchup, which he distributes evenly among 15 bottles. How much ketchup goes in each bottle? Write your answer as a proper fraction or mixed number.

Answers

Answer:

A = 2/15 gallons per bottle

Step-by-step explanation:

Given;

Total volume of ketchup V = 2 gallons

Number of bottles N = 15

The amount of ketchup per bottle A;

A = total volume of ketchup ÷ number of bottles

A = V/N

Substituting the values;

A = 2gallons ÷ 15bottles

A = 2/15 gallons per bottle

Answer:

2/15

Step-by-step explanation:

2 divided by 15 is the same or equal to 2/15

example: 2 divided by 15= 2/15

The vertices of a rectangle are A(-2, 4), B(-2,6), C(3,6), and D(3, 4). Which expression
shows how to find the length of the diagonal?

Answers

Answer:

Third option correct

Step-by-step explanation:

The diagonal is the distance between 2 of the vertices, and to end.

So the option we shall choose will contain 2 of the vertices in a distance between points equation.

Mathematically, the distance between two points is given by;

D = √(x2-x1)^2 + (y2-y1)^2

The correct option is the third option.

This is because it takes into consideration two of the vertices which are points A and point C

Answer: c the third one

Step-by-step explanation:

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