Usando a propriedade distribuitiva, calcule as multiplicação
a) (4c-a)×(4c+a)
b) (4x-3)×(6x+1)
c) (x-y)×(x^2+5y)

Answers

Answer 1

Answer:

[tex]a) \left(4c-a\right)\times\left(4c+a\right)[/tex]

[tex]=\left(4c\right)^2-a^2[/tex]

[tex]=16c^2-a^2[/tex]

-------------------

[tex]b) (4x-3)\times(6x+1)[/tex]

[tex]=4x\times \:6x+4x\times \:1+\left(-3\right)\times \:6x+\left(-3\right)\times \:1[/tex]

[tex]=4\times \:6xx+4\times \:1\times \:x-3\times \:6x-3\times \:1[/tex]

[tex]=24x^2-14x-3[/tex]

-------------------

[tex]c)(x-y)\times(x^2+5y)[/tex]

[tex]xx^2+x\times \:5y+\left(-y\right)x^2+\left(-y\right)\times \:5y[/tex]

[tex]=x^2x+5xy-x^2y-5yy[/tex]

[tex]=x^3+5xy-x^2y-5y^2[/tex]

OAmalOHopeO


Related Questions

4×((-1+2-3+4-5+6-7...+1000)

Answers

-1 + 2 - 3 + 4 - 5 + 6 - … - 999 + 1000

= -(1 + 3 + 5 + … + 999) + (2 + 4 + 6 + … + 1000)

= -((2 - 1) + (4 - 1) + (6 - 1) + … + (1000 - 1)) + 2 (1 + 2 + 3 + … + 500)

= -((2 + 4 + 6 + … + 1000) - 500) + 2 (1 + 2 + 3 + … + 500)

= -(2 (1 + 2 + 3 + … + 500) - 500) + 2 (1 + 2 + 3 + … + 500)

Let S = 1 + 2 + 3 + … + 500. Then this sum is equal to

= -(2S - 500) + 2S

= -2S + 500 + 2S

= 500

and multiplying by 4 gives 2000.

Answer:

[tex]4\times \left(\left(-1+2-3+4-5+6-7+1000\right)\right)[/tex]

[tex]calculate\: within \: the \:parentheses[/tex]

[tex]-1+2=1[/tex]

[tex]=1-3+4-5+6-7+1000[/tex]

[tex]1-3=-2[/tex]

[tex]=-2+4-5+6-7+1000[/tex]

[tex]-2+4=2[/tex]

[tex]=-3+6-7+1000[/tex]

[tex]3-7+1000[/tex]

[tex]=-4+1000[/tex]

[tex]=996[/tex]

[tex]Multiply:-[/tex]

[tex]4\times996[/tex]

[tex]=3984[/tex]

--------------------------

Hope it helps..

Have a great day!!

Find the volume of this object.
Use 3 for i.
Volume of a Cone
V=7r2h
3
Volume of a
Rectangular Prism
V = (wh
cmi
5 cm
6 cm
1 cm
V~ [?]cm3
12 cm
Enter

Answers

Answer:

125.97

Step-by-step explanation:

We’ll start by the cone

We first have to know how to calculate the volume of a cone

V = pi(r^2)(h)/3 where r = radius & h = height

But since we’re only seeing a diameter of 6 cm in the bottom of the cone, we’ll need to divided 6 by 2

Radius = 3

Then we can start solving for the volume of the cone!

V = pi(3^2)(7)/3

V = pi(9)(7)/3

V = pi(63)/3

V = 197.82…/3

V = 65.97

The volume of the cone is approximately 66 cm

Now for the Rectangular Prism:

V = l • w • h where l = length w = width and h = height

V = 12 • 5 • 1
V = 60 • 1
V = 60

Finally add each of the volumes!

65.97 + 60 = 125.97

The volume of the object is approximately 126 cm

Answer both please

Brainliest for correct

Answers

Answer:

28 centimeters a year, 5.5 years until 344 centimeters

Step-by-step explanation:

I did the calculations, forgive me if I am wrong.

india says that (3³)² is equivalent to 243 because the exponents should be added when simplifying the expression. explain why india is incorrect.

pls help​

Answers

Answer: India is incorrect because you multiply the exponents are supposed to be multiplied not added

Step-by-step explanation:

i need help asap!!!!!!!! thanks

Answers

Answer:

A.

C.

Step-by-step explanation:

range of a function is the number interval of the y (function) values.

the domain is the number interval of the x (input) values.

A.

this function has only one constant functional value : -5

so the range is the set with only that one value.

B. no, the line goes across all possible values of x.

it is therefore not limited to a single value.

C. see B. therefore, true.

D. see A. no, only one value.

E. is simply a wrong statement. it would not be a function, if there is an x that has more than one y value. but that is not the case here. every x value has exactly one y value. they are all the same, but that does not matter.

Cho Hình chóp S.ABC Có đáy là tam giac đều cạch a. SA vuông góc với đáy, SA=a . Tính góc giữa SB và mặt phẳng đáy

Answers

Answer:

45 độ

Step-by-step explanation:

SA vuông góc (ABC) => góc SAB = 90 độ; góc giữa SB và mặt phẳng đáy = góc SBA

SA=AB=a => SAB là tam giác cân

KL: góc giữa SB và mặt phẳng đáy SBA = 45 độ

1/6 of the age of a mother is the age of her daughter. If the difference of their ages is 35 years, find the age of the mother.

Answers

Answer:

24 6

Step-by-step explanation:

""6_6_6&6&6&6__5ddyfouoyfkykyky

A 90 ° angle is divided into 2 angles. Find the size of the angles. 5x+10 and 6x-41 Not drawn to scale

Answers

Answer:

65 and 25

Step-by-step explanation:

90=(5x+10)+(6x-41)

121=11x

11=x

Going back to the angles:

5(11)+10

=55+10

=65 this is the first angle

6(11)-41

=66-41

25 this is the second angle

Find LN given the mid-segment?

Answers

Answer:

LN=4

Step-by-step explanation:

Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. [tex]2*2=4[/tex]

suppose the team wins ten of it's following remaining 18 games. What is it's winning percentage?

Answers

10/18 is equal to 0.55
Change to percentages and it will be 55 percent

Given a line segment that contains the points A,B, & C in order, if AB = x - 2, and BC = 2x + 6, and AC = 19, find x.

Answers

19
Bau wua ua uatw. Stya ja

Help pls!
Suppose ten distinct, positive integers have a median of 10. ("Distinct integers" means that no two integers are the same.)

What is the smallest the average of those ten integers could be?

Explain your answer in complete sentences.

Answers

Answer:

8.4

Step-by-step explanation:

Since we want to minimize the average, the integers should be made as small as possible. So, we have 4 integers:

1, 2, 3, 4

However, the median must be 10. The next two integers must have an average of 10 - and since the integers are distinct, we should use:

9, 11

From there, we use the smallest integers (that are still above 11) possible:

12, 13, 14, 15

The average of these 10 integers is 84/10, or 8.4.

The median is still 10, because (9+11)/2 is 10.

Answer:

8 (or 8.4)

Step-by-step explanation:

First, the problem states the words: Distinct and positive.

That means that the smallest number we can use is 0.

We can make 10 blanks for 10 numbers for us to fill in.

_ _ _ _ _ _ _ _ _ _

Since 10 is an even number, and the median is not one single number, it will be the middle of the two numbers.

In this case, our two numbers are the 5th and 6th blank.

Any two numbers can be used, as long as they are the same actual value from 10.

Let us first put in the numbers we can, which are the numbers before the two middle blanks.

0,1,2,3, _ _ _ _ _ _

To find the median between two numbers, we can do:

(a+b) divided by 2 = median

We can use the smallest following number, 4. Then the 6th number will have to be 16 for 10 to be in the middle.

Also try the largest possible number for the 5th blank, 9. Then the 6th number will be 11.

4+16 and 9+11 both equal 20, and 20 divided by 2 is 10. So both of these work.

Now let's place the other numbers in for these two equations.

0,1,2,3,4,16,17,18,19,20

0,1,2,3,9,11,12,13,14,15

If we add the numbers of each together, we get:

0,1,2,3,4,16,17,18,19,20=100

0,1,2,3,9,11,12,13,14,15= 80

If we now divide each sum by 10 (to find the average) we get:

10

8

Since both of these were the most we could go, one with the 5th number as small as possible and one with the 5th number as large as possible.

Since the smaller answer we got was 8, the answer must be 8.

(I believe 0 is a positive integer because it doesn't carry a negative sign. If 0 is not a positive integer, the answer is 8.4. Use the same process

Help please I need 6 and 8

Answers

It’s is A thank me later!

Help asap

Whoever helps me I will pay you up thanks :)

Answers

Answer:

6.

2

1

3

10.9 to 1 place

7

a.) 36

b.)3

c.)65

d.)13

Step-by-step explanation:

Bob's Shoe Emporium sold 5,787 shoes in March. In April they sold 6,245 shoes. How many more shoes did they sell in April than in March? Explain how you got your answer.

Answers

Answer is 458, 6,245-5,787= 458

Next year, air fares will rise by 3%.
Calculate the new price of a R 1 400 ticket.

Answers

9514 1404 393

Answer:

  ₹1442

Step-by-step explanation:

The new price will be 1+3% = 1.03 times the old price.

  ₹1400 × 1.03 = ₹1442

HELP PLS
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x + 7).
Which statement describes how the graph of h is different from the graph of g?

Answers

Answer:

C

Step-by-step explanation:

Consider f(x) = x^3 and g(x) = (x+1).

Every point is then shifted to the left. Why?

We can plug in some points, let's say x=0.

For f(x), we get 0, for for g(x), we get 1.

Normally, f(x) = 1 when x = 1, but now g(x) = 1 at x = 0. Basically, every point is now shifted left. It's a general rule you have to remember. Sometimes, I used to mix up the plus and minus signs becuase + intuitively for me (at least after doing some physics) is right. But it actually shifts the graph to the left. Just plug in some points and see for yourself. It's honestly the best explanation I can give you at this point in time.

x-2y=-4
3x+y=9

solve the simultaneous equation (find x & y)

Answers

I used substitution method! hope this helps! feel free to clarify

Mr. Atkinson manages playgrounds for the 8 elementary schools in the Franklin School District. This year, he wants to put new sandboxes at each of the schools. He estimates that he will need 3 tons of sand for this project. How many 50-pound bags of sand should he order for each school?

Answers

Answer: 5 bags of sand

Step-by-step explanation:

Given

There are 8 elementary schools

3 Tons of sand is needed

It is contained in a 50- Pound bag

1 ton is equivalent to 2000 Pound

No of 50- Pound bag required is

[tex]\Rightarrow n=\dfrac{2000}{50}\\\\\Rightarrow n=40[/tex]

These 40 bags will be required in 8 schools. So, each school requires

[tex]\Rightarrow \dfrac{40}{8}=5\ \text{bag}[/tex]

Answer:

The number of bags required for each school is 16.53

Step-by-step explanation:

Number of schools = 8

Total sand required = 3 tons

mass of each bag = 50 pounds

Sand required for each school = 3 ton/ 8 = 3000 / 8 kg = 375 kg

1 pound = 0.454 kg

1 kg = 2.205 pounds

So, 375 kg = 826.7 pounds

So, the number of bags required for each school =  826.7/50 = 16.53 bags

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

For 25) it's option C. -1/2

For 26) it's option D. 7π/6, 11π/6

Step-by-step explanation:

If you are finding sin−1 of a positive value, the answer will be between 0 and π/2. Using the unit circle, the angle with a sine of 1/2 in the first quadrant is π/6.

Answer:

-1/2

7π/6, 11π/6

Step-by-step explanation:

First problem:

31π/6 = 31/6 π = 5 1/6 π

A full circle is 2π radians. π radians = 180°

Start at 0 radians (positive x axis), and go 5 half circles counterclockwise.

You end up at π radians, or 180°, or the negative x axis.

Now go π/6 radians more counterclockwise.

You end up at 7π/6 or 210°.

Read the y-coordinate of the point on the unit circle.

Answer: -1/2

Second problem:

Look in the figure of the first problem.

The sine corresponds to the y-coordinate.

Look at the points on the circle, below the x-axis, that have a y-coordinate of -1/2.

They correspond to 7π/6 and 11π/6

Evaluate 16x if x = - 3.

Answers

Answer:

16×-3

-48

I hope it's helps you

Answer:

-48

Step-by-step explanation:

16(-3) = -48

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cost of the camera, exclusive of the sales tax?

Answers

Divide the amount of tax by the rate of tax.

3.20 / 0.02 = 160

The cost of the camera is $160

If the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

What is sales tax?

Sales tax is the tax that is paid by buyer to seller on the amount of goods sold.

How to find cost?

We have been given that sales tax in a certain city is 2% and sales tax paid by man for camera is $3.20 and we have to find the cost of the product excluding sales tax.

Sales tax=tax percentage*total price

3.20=2/100*total price

Total price=3.20*100/2

=$160

Price excluding sales tax=total price - sales tax

=160-3.20

=157.80

Hence if the sales tax in a certain city is 2% and man paid sales tax of $3.20 then the cost of the camera, exclusive of sales tax is $156.80.

Learn more about sales tax at https://brainly.com/question/9437038

#SPJ2

A simple random sample is drawn from a normally distributed population. The value of which of the following will not
known for certain but can be inferred?
o u
o-x
os
on

Answers

Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support . What's the best way to get to a consensus ? O a) Everyone on the team talks until the entire team agrees on one decision. Ob ) Everyone on the team discusses options and then votes. Oc ) The team passes the decision - making responsibility to an outside person. d ) The team leader makes a decision without input from the other members .

Can someone help me with this math homework please!

Answers

f(2)= f(1+1) ,where n= 1

=-6

= -2×3

= -2f(1)

f(n+1 )= -2f(n)

OPTION C is the correct answer

Answer:

option 3 is the answer.

Step-by-step explanation:

3, - 6, 12, - 24, 48, .....

Here,

f ( 1 ) = 3

f ( 2 ) = - 6

f ( n + 1 ) = - 3 f ( n )

f ( 1 + 1 ) = - 3 f ( 1 )

f ( 2 ) = - 3 x 3

f ( 2 ) = - 9

This recursive formula is not correct.

f ( n + 1 ) = - 2 f ( n )

f ( 1 + 1 ) = - 2 f ( 1 )

f ( 2 ) = - 2 ( 3 )

f ( 2 ) = - 6

This recursive formula is correct.

please help with math properties I need 5 and 8 :)

Answers

Answer:

Step-by-step explanation:

            Statements                               Reasons

1. m∠A = 6x - 10                              1. Given

2. m∠B = 2x                                    2. Given

3. m∠C = 8x - 2                               3. Given

4. m∠A + m∠B + m∠C = 180°         4. Triangle sum theorem

5. (6x - 10) + (2x) + (8x - 2) = 180°   5. Substitution

6. 16x - 12 = 180                              6. Algebra

7. 6x = 192                                       7. Addition property of equality

8. x = 12                                           8. Division property of equality  

Which of the graphs represent y=-x^2

Answers

Answer:

Step-by-step explanation:

Can't see all the graphs, but the graph of [tex]y=-x^2[/tex] is an upside down parabola with the vertex at the origin.

Find the solution of this system of equations
4x - 5y = -12
-X + 5y = 18

Answers

4x - 5y = -12

-x + 5y = 18

Add the equations together:

4x + -x = 3x

-5y + 5y = 0

-12 + 18 = 6

So now you have:

3x = 6

Divide both sides by 3:

X = 2

Now you have the value of x, replace x with 2 in one of the equations and solve for y:

4(2) -5y = -12

8 -5y = -12

Subtract 8 from both sides:

-5y = -20

Divide both sides by -5:

Y = 4

The solution is x = 2 and y = 4 which is written as (2,4)

A rectangular prism has a square base with edges measuring 8 inches each. Its volume is 768 cubic inches. Find the height and the surface area of the prism

Answers

Answer:

Height = 12in

Surface area = 320in²

Step-by-step explanation:

Given

Length of the square base = 8in

Volume of the prism = 768 cubic inches

Using the formula;

Volume of the prism = Base area * Height of prism

768 = 8² * H

768 = 64H

H = 768/64

H = 12in

Hence the height of the prism is 12in

Get the surface area

Surface area = 2l² + 2lh

Surface area = 2(8)² + 2 (8)(12)

Surface area = 128  + 192

Surface area = 320in²

Hence the Surface area of the prism is 320in²

the graph of a linear function is given below

Answers

Answer:

A

Step-by-step explanation:

The zero of the function is where the y-value is zero.

then it's -5

PLEASE HELP ASAP

Find the length of the arc.


Answer Options:

A. 9π/2 km

B. 9π/3 km

C. 539π/12 km

D. 18π km

Answers

Answer:

A. 9π/2km

Step-by-step explanation:

the length of the arc is

s= angle in radians* radius

the angle in radians

135 = 3π/4

therefore length of arc

s= (3π/4)*6 = 9π/2km

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