how did you get the product of sum and differences of terms?

Answers

Answer 1

Answer:

Step-by-step explanation:

The the terms be x and y

The sum of the terms = x+y

Difference of terms = x-y

Product of the sun and differences will be expressed as:

(x-y)(x+y) = x²-xy+xy-y²

(x-y)(x+y) = x²-y²

Hence the product of the terms is equivalent to the difference of two squares of the terms


Related Questions

5. Drew had $48 in his savings account. Each
week he added $8 to his account. Stacie had
$87 in her account. Each week she took $5
out. After how many weeks will they have the
same amount of money in their savings
accounts?

Answers

Answer:

13 weeks

Step-by-step explanation:

5 times 13= 65 +87= 152

8 times 13 = 104+58=152

Answer:

Week 4

You have to make a function table.

Question 1 please. Please help

Answers

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

HELP ASAP!!!
Select all that apply.

Which of the following statements are true of the greatest common factor of two numbers?

O Each number must share the factor.
O The number must be large.
O The greatest common factor could be 1.
O The number must be the largest factor both numbers share.

Answers

Answer:

the second answer is wrong, and the rest is all correct

Step-by-step explanation:

The GCF has to be the largest factor they share, but it's not necessary for it to be large.

Answer:

each number must share the factor.

the greatest common factor could be one.

the number must be the largest factor both share.

Step-by-step explanation:

A cone has a radius and height of 15 inches. What is the volume of the cone?

Answers

Answer:

3532.5

Step-by-step explanation:

Here’s the equation you would followe

V=1/3h(3.14)r^2

H=height

R=radius

what is the change between -15 and 11

Answers

the change is plus 4

i need help with segments​

Answers

Answer:

∠ DBC = 16°

Step-by-step explanation:

∠ ABD + ∠ DBC = ∠ ABC , substitute values

2x + 15 + x - 30 = 123 , that is

3x - 15 = 123 ( add 15 to both sides )

3x = 138 ( divide both sides by 3 )

x = 46

Thus

∠ DBC = x - 30 = 46 - 30 = 16°

The blue figure is translated _____ units ___ and ____ units ____ from the red figure.

Answers

The blue figure is translated 5 units left and 2 units down from the red figure.

c. Bradley's dad used a light bulb that consumed 5000 joules in 50 seconds. What is the
unit rate at which this light bulb used energy?

Answers

Answer:

100 joules/ second

Step-by-step explanation:

5,000/50 seconds = 100 joules/ second

If a light bulb that consumed 5000 joules in 50 seconds, then the unit rate at which this light bulb used energy is, 100 joules/seconds or 100 watts.

What is the rate?

Rate is a ratio of change in one quantity w.r.t. change in another quantity. The net change in one quantity is written as, Δy and the net change in another quantity is written as, Δx.

So formula for the rate is,

m = change in one quantity/change in another quantity = Δy/Δx

Given that,

A light bulb that consumed 5000 joules in 50 seconds,

The unit rate at which this light bulb used energy = ?

To find the unit rate,

we can divide the energy consumed (in joules) by the time it took to consume that energy (in seconds):

Unit rate = 5000/50 joules/seconds

              = 100 Watts

Note: 1 Watt = 1 Joule/second,

so the unit rate can also be expressed as joules per second.

Hence, the unit rate at which the light bulb used energy is 100 Watts.

To know more about Rate check:

https://brainly.com/question/29334875

#SPJ5

4. Is the expression (10x + 5 - 6x - 2) equivalent to (5x + 1 - (x - 2))? [True or False]
Prove this using algebra - Show work].

Answers

Answer:

true

Step-by-step explanation:

this is because

(10x+5-6x-2)

(10x-6x)+(5-2)

which equals 4x+3

then

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

5x+1−x+2

(5x−x)+(1+2)

also equals

4x+3

Solve the simultaneous equations 3x- 4y =20 and 4x-2y = 25

Answers

Answer:

(6, - [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Given the 2 equations

3x - 4y = 20 → (1)

4x - 2y = 25 → (2)

Multiplying (2) by - 2 and adding to (1) eliminates the y- term

- 8x + 4y = - 50 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 30 ( divide both sides by - 5 )

x = 6

Substitute x = 6 into either of the 2 equations and evaluate for y

Substituting into (1)

3(6) - 4y = 20

18 - 4y = 20 ( subtract 18 from both sides )

- 4y = 2 ( divide both sides by - 4 )

y = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Solution is (6, - [tex]\frac{1}{2}[/tex] )

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

3x - 4y = 20            ...1

4x - 2y = 25

8x - 4y = 50            ...2

Subtract equation 1 from equation 1, then we have

8x - 4y - 3x + 4y = 50 - 20

5x = 30

x = 6

The value of the variable 'y' will be given as,

3(6) - 4y = 20

18 - 4y = 20

4y = - 2

y = - 0.50

The solution of the linear equations 3x - 4y = 20 and 4x - 2y = 25 will be (6, -0.50).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

A rectangular box is 8 inches long, 10 inches wide, and 6 inches tall.

What is the approximate length of its longest diagonal?

Answers

Answer:

480

Step-by-step explanation:

If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480

solve question 2x + 13 =

Answers

Answer:

x= -6.5

Step-by-step explanation:

2x+13=0

2x=-13

x=-6.5

The answer above is correct my dude

Tammy can type 130 words in 5 minutes. How many words can she type in 20 minutes?

Answers

Answer:

520 words

Step-by-step explanation:

Do 130 words divided by 5 minutes to get 26 words per minute.

Then you do 26 times 20 to get the answer of 520

hope this helps!!

Answer:

520 words.

Step-by-step explanation:

We can multiply the 5 minutes by 4 to find 20, so also multiply 130 by 4, which would result in 520.

HELP

Which expressions are equivalent to 8(-10x+3.5y-7)? Select two options.


-80x+24.5y-56

-80x+28y-56

80x+28y+56

4(-20x+7y-14)

-4(-20x+7y-14)

Answers

Answer:

Its a,c and e

Step-by-step explanation:

I just took the quiz

4) Choose the correct inequality for this situation.
The Walter family budgets a maximum amount of $124 for a camping trip.
Mr. Walter already spent $40. How many people x can go canoeing if the
cost is $21 per person?
A- 21x + 40 >_ 124
B- 21x + 40 <_124
C- 40x + 21 < _124
D- 21x + 40 > 124

Answers

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).

in the isosceles trapezoid below x = ?

Answers

5x-20=2x+37

3x-20=37

3x=57

x=19

look at image and answer plz

Answers

Answer:

y=64 :)

Step-by-step explanation:

40/ [tex]\frac{5}{8\\}[/tex]= 64

pls give brainliest if correcto

if AB || CD, then find value of angle COS, if angle BPO = 120 + - and angle COS = x

Answers

Answer:  angle COS = 30 degrees

====================================================

Explanation:

Angle BPO is congruent to angle POC because they are alternate interior angles and because AB is parallel to CD. So angle POC is 120+x degrees

This adds with angle COS to get 180

(angle POC) + (angle COS) = 180

(120+x) + (x) = 180

2x+120 = 180

2x = 180-120

2x = 60

x = 60/2

x = 30

angle COS = x = 30

angle POC = 120+x = 120+30 = 150

angle BPO = angle POC = 150

Last year at a certain high school, there were 50 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 15%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). pls help

Answers

Answer:

46 for boys and 85 for girls

Step-by-step explanation:

A bicycle has a listed price of $563.95 before tax. If the sales tax rate is 8.75%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$613.30

Step-by-step explanation:

8.75% = 0.0875

8.75% of $ 563.95 is  $ 0.0875*563.95

$ 0.0875*563.95 is tax in dollars

the total cost = $ 563.95 + $ 0.0875*563.95  = $ 613.295 = $613.30

The runners on a cross country team need to buy bottles of water for their next meet. Each runner will buy four bottles, and the coach will buy extra bottles. Which equation best describes the total number of bottles, b, the runners and coach will buy in terms of n, the number of runners on the team?

Answers

Answer:

b = n + n

Step-by-step explanation:

8z - 22 = 3(3z + 11) - z​

Answers

Answer:

There are no solutions.

Step-by-step explanation:

8z−22=3(3z+11)−z

Step 1: Simplify both sides of the equation.

8z−22=3(3z+11)−z

8z+−22=(3)(3z)+(3)(11)+−z(Distribute)

8z+−22=9z+33+−z

8z−22=(9z+−z)+(33)(Combine Like Terms)

8z−22=8z+33

8z−22=8z+33

Step 2: Subtract 8z from both sides.

8z−22−8z=8z+33−8z

−22=33

Step 3: Add 22 to both sides.

−22+22=33+22

0=55

A number decreased by half of the number is four. What is the number?

Answers

Answer:

four is the right answer i think

Answer:

It should be a number between 12 and 14

Step-by-step explanation:

Start with given compound inequality, Add 4 to all sides ,combine terms on the left side ,combine terms on the right side, multiply all by 2, multiply ,so the number is between 12 and 14 which makes it possible to be 12,13,or 14

Write two integers with different signs that have a sum of -25.
Write two integers with the same sign that have a sum of -25.

Answers

Answer:

1.

-25+0

-30+5

2.

-15-10

-20-5

help , i need this assignment don asap

Answers

Answer:

I think it's 17/28 but I don't knkw

What grade are you in ? I think ik what this is

2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.

Answers

Answer:

plz leave answer choices plz and thank you i tried but im very sorry i wrong question

Step-by-step explanation:

Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Help With the question on the image.​

Answers

The ratio of the perimeters of 2 similar shapes is the sidelength of 1 shape to the matching sidelength. That means the ratios of the perimeters are 10:6 = 5:3

The ratio of areas = ratio of perimeters ^2 --> 25:9

Ratios of areas = ratios of perimeters ^2

A local park currently has 150.04 square meters of grassy area. The members of a community group have proposed the following
changes to the way the park land is used
• Clearing dead trees and shrubs would allow for 37 51 square meters of additional grassy area.
• Removing an unused picnic pavilion would allow for 82.70 square meters of additional grassy area.
• Updating and expanding the playground would reduce the grassy area by 54 19 square meters
How many square meters of grassy area would the park have if all of the community group's proposals were applied?

Answers

Answer: they would have 216.06 square meters of grassy area left in the park

Step-by-step explanation: if you start with 150.04 and add 37.51 by removing trees and shrubs you would have 187.55 and then if you added 82.70 more square feet by removing the unused Picnic pavilion you would have 270.25 square meters of grassy area. Then lastly is you update the playground by reducing 54.19 square meters ( 270.25-54.19) you would get left with 216.06 square meters of grassy area :)

Answer for MONEY. :) :)

Answers

Answer:

i would say <2= 80?

Step-by-step explanation:

im not pretty sure

which value of the variable is a solution of the inequality t>-7

Answers

Answer:

It could be -6, -5, -4, -3, -2, -1, 0, or anything above that

Step-by-step explanation:

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