One of the factors of x² + y² + 2xy - z² is ?​

Answers

Answer 1

Answer:

x + y + z.

Step-by-step explanation:

x² + y² + 2xy - z²

= (x + y)^2 - z^2

This is the difference between 2 squares so the factors are:

(x + y + z) and (a + y - z).

Answer 2

Answer: The factors are (x+y+z) and (x+y-z)

In other words, it factors to (x+y+z)*(x+y-z)

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

Work Shown:

[tex]x^2 + y^2 + 2xy - z^2\\\\(x^2 + 2xy + y^2) - z^2\\\\(x+y)^2 - z^2\\\\(x+y+z)(x+y-z)\\\\[/tex]

Notes:

In the third step, I used the rule (A+B)^2 = A^2+2AB+B^2. For this, A = x and B = y.In the last step, I used the difference of squares factoring rule A^2-B^2 = (A+B)(A-B). In this case, A = x+y and B = z.

Related Questions

9th grade math please help will give brainliest !!!

Answers

Answer:

48 g - 40 h + 64

Step-by-step explanation:

you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same

Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?

Answers

Answer:

706.5

(there is no hundredths place)

Step-by-step explanation:

r=15

a= pi × r²

3.14×15²

15²=225

3.14×225=706.5

teheheh help please :)

Answers

Answer:

Solid line

Step-by-step explanation:

This means that it is equal. The line under the less than sign means it would be a solid line.

5. 19c + 1 = 39
Show the work please ​

Answers

Hello :) Here is the step by step,

                                                     

19c+1=39

Subtract 1 from both sides.

19c=39−1

Subtract 1 from 39 to get 38.

19c=38

Divide both sides by 19.

c=  19 /38

Divide 38 by 19 to get 2.

c=2

First question: 3(x + 2)

If answered correctly- Brainliest
Second question:

Answers

3x+6 your welcome dude

Answer:

8 gumballs 3 jaw breakers or the required inequality expression is

0.50g + 0.30j ≤ 3

Step-by-step explanation:

welcome...

Graph the following features:
Slope = -3
• Y-intercept = -4

Answers

Answer:

maybe (-3,-4)?

Step-by-step explanation:

John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."

Answers

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

Quarters be xNickels be x+4Dimes be 2(x+4)

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]

What is the formula for guess work pricing?

Answers

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

what is the slope of the line

Answers

Answer:

Bala Bala Bala Bala Bala

Step-by-step explanation:

what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet

Answers

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form

Answers

Answer:

Answer: y=1/3x-6

2x + 16 = 22x

Variables on both sides

Answers

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

A piece of metal with a length of 2.83 cm was measured using four different devices. Which of the following measurements is the most accurate? O 2.812 cm O 2.837 cm O 2.805 cm 0 2.829 cm​

Answers

Answer:

2.829

Step-by-step explanation:

ita the closest to 2.83

The most accurate measure is 2.829 cm.

What is rounding off a number?

To change a number into an approximation having fewer significant digits.

Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.

a) 2.812 =

Rounding off to the 10th place = 2.81 cm

b) 2.837 =

Rounding off to the 10th place = 2.84 cm

c) 2.805 =

Rounding off to the 10th place = 2.8 cm

d) 2.829 =

Rounding off to the 10th place = 2.83 cm

Hence, the correct answer is 2.829 cm

For more references on rounding off a number, click;

https://brainly.com/question/13391706

#SPJ1

Help ASAP pleaseee


A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b


What is the values of m and b?

Answers

Answer:

2/1=2

Step-by-step explanation:

y=mx+b= 2

3-1=2

-3-(-4)=1

2/1=2

Answer:

m = 2 and b = 9

Step-by-step explanation:

i think yes, bc the equation is y = 2x + 9

Write 72,658 in expanded form using
exponents to write powers of 10.

Answers

ayo how do answer these

Step-by-step explanation:

7 x 10^4

+ 2 x 10^3

+ 6 × 10^2

+ 5 × 10^1

+ 8 X 10^0

Can someone Please help me on this easy math problem

Answers

Answer:

the answer is x4/19P because u add the top of the numerator and times the denominator

A school is arranging a field trip to the zoo. The school spends 515.84 dollars on passes for 30 students and 2 teachers. The school also spends 282.90 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?

Answers

Answer:

26.16

Step-by-step explanation:

Given: AC = 4DC, BC = 4EC
Prove: A = D​

Answers

Two triangles that are proportional to each other and have the same angle are similar.

Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?

Answers

XxxxAnswer:

Step-by-step explanation:xdd

change percentage to a decimal
52 %
319%
7.9%
4/5%
3 7/8%
6 2/3%

2.
There are six bottles of water. Each bottle contains 0.65 L of water. The capacity of a cup is 0.26 L.How many cups can you fill with all the water.

3.
30.8 m of cloth is needed to make 7 shirts. What is the length needed to make 16 shirts

4.
Mrs Wong buys 0.6 kg of fish balls for $15. Mr Chan buys 0.5 kg from the same shop how much should he pay?
5.
every 0.35 L of mango drink is made of 0.14 kg of mangoes and some soda . Connie wants to buy 3.75 L of mango drink . How many kilograms of mangoes dose she need

Answers

Answer:

52%=0.52

319%=3.19

7.9%=0.079

4.5%=80

37/8%=4.652

62/3%=20.67

2. 15 cups

3. 70.4m

4. $12.5

5.

Step-by-step explanation:

52%=52/100=0.52

319%=319/100=3.19

7.9%=7.9/100=0.079

4/5%=(4/5)/100=4/5×100=80

37/8%=4.(5/8)=4.652

62/3%=20.(2/3)=20.67

1 bottle holds 0.65L

1 cup holds 0.26L

6 bottles hold (0.65×6) =3.9L

n cups hold 3.9L

0.26n=3.9

n=3.9/0.26

n=15

30.8m make 7 shirts

ym make 1 shirt

7y = 30.8

y = 4.4m

1 shirt needs 4.4m

16 shirts need 16×4.4=70.4m

0.6kg cost $15

1kg costs $b

0.6b=15

b=$25

1kg costs $25

0.5kg cost (25×0.5)=$12.5

The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3

Answers

Answer:

87

Step-by-step explanation:

difference = 7

A1 = 3

so let's imagine this arithmetic sequence as

3, 10, 17, 24 etc....

mathematically the sequence can be described as

An = a1 + (n - 1) d

A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87

To paint a house, a painting company charges a flat rate of $275 for supplies plus $60 per hour of labor. Write a linear equation for tis situation and explain the slope and y-intercept in this context.

Answers

Answer:

y=60x+275

Step-by-step explanation:

the slope would be 60 as it is the rate being charged per hour, the y intercept (b) is the initial y value at x=0 and since the company charges 275 before they do any work, that would be the y intercept.

20-5+15(25)=b+3+65(23)

Answers

Answer:

-1108

Step-by-step explanation:

Answer:

-b=-1108

Step-by-step explanation:

20-5+375=b+3+1495

-375 -375

20-5=b+3+1420

15=b+1423

-b -b

-b+15=1423

-15 -15

-b=1108

20-5+375=-1108+3+1495

390=390

please help me im only looking for real answers

if you put a link to an inappropriate site i WILL report it

Answers

Answer: y=3/2x

Step-by-step explanation:

First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.

An equation in slope intercept form is as follows:

y=mx+b

To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.

We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.

[tex]\frac{3-6}{2-4}[/tex] = [tex]\frac{3}{2}[/tex]

Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.

Help help help help math

Answers

Answer:

A = 192

Step-by-step explanation:

r = 16/2 = 8

A = 3x(8)^2

8^2 = 64

A = 3 x 64 = 192

Radius is half the diameter.

The diameter is shown as 16, so the radius would be 16/2 = 8 in.

Area = 3 x 8^2

Area = 3 x 64

Area = 192 square inches

Please Help

Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.

Answers

Area = pie*r^2
Area= 23778.71

Step-by-step explanation:

so, to repeat, the radius r of the circle is 87 cm.

the area of a circle is

pi×r²

so, in our case

A = pi×87² = pi×7569 = 23,778.7148... cm²

so, how to give this answer with only 3 significant figures ?

as you can see, there are already 5 figures before the decimal point.

3 attempts :

1. 3 significant figures after the decimal point : 23778.715 cm²

2. scientific notation with 3 SF : 2.38×10⁴ cm²

3. converting to m² (1m² = 10000cm²) : 2.38 m²

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?

Answers

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

What is sample space?

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Learn more about the sample space here;

https://brainly.com/question/11666439

#SPJ2

One pentagon weighs how much

Answers

Answer:

11

Step-by-step explanation:

the answer would be 11 pounds!

Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?

Answers

Answer:

20 sides ( Icosagon )

3240 is the interior angles sum

Step-by-step explanation:

360 ÷ 18 = 20

180 - 18 = 162

162*20 = 3240 is the interior angles sum

Can someone help me please

Answers

Answer:

+29 C

Step-by-step explanation:

If we find the distance between both numbers on  number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C

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