x^2-y^2+z^2-2xz+2y-1

Answers

Answer 1

Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]

Step-by-step explanation:

[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]


Related Questions

Which function is shown in the graph? A. y = (2 + x)/(1 - x) B. y = 5/(3 - x) c . y = (5x)/(1 + x) d. y = (5 + 3x)/(1 + x)

Answers

Answer:

I believe it's D

Step-by-step explanation:

You plug in 0 and you get 5 as your Y value

The function of the graph is y = (5 + 3x)/(1 + x), so the correct option is d.

What is graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The graph is first shifted to the right by 4 units and another one to the left by 1/2.

So, we have:

y = (5 + 3x)/(1 + x)

Hence, the function of the graph is y = (5 + 3x)/(1 + x)

Read more about function transformation at:

brainly.com/question/4289712

#SPJ2

A translation is shown on the grid below. Which are true statements about the translation?

Answers

The sides of the image and pre-image are congruent

Each point has moved the same number of units

HELP ME PLS ITS URGENT

Answers

Answer: -3 (option D) is the answer.

(-8)-(-5)= -8+5 = -3

Answer:
-3
Explanation:
= (-8)-(-5)
= -8+5 (- and - is equal to +)
= -3
So the correct answer is D)-3
YOUR WELCOME☺️⭐️

find the exact value of the indicated trigonometric functions for the acute angle a:
Given: tan a=2.4, Find: sin a and cot a.

Answers

Tan=24/10 ≈ 2.4

using Pythagoras theorem

x²=(24)²+(10)²

x²=576+100

x²=57600

x=√57600 => 240

Therefore

sina=24/240 => 0.1

cota=1/tana => 1/(24/10) => 10/24

more points for yal if u help <333​

Answers

D all sides r equal!!!!!!!!!!!

x^3+(y+z)^3 factorise it broefly.​

Answers

Answer:

x^3 + y^3 + z^3

Step-by-step explanation:

x^3+(y+z)^3

Remove brackets

x^3 + y^3 + z^3

hlpppppppppppppppppppppppppppppppp

Answers

Answer:

c

Step-by-step explanation:

-7.5 is less than 6.5

hi! can i get some help with this question! :)

Answers

Hi there!

[tex]\large\boxed{log_b3b = 1.8397}[/tex]

Keep in mind the following log property:

logₓab = logₓa + logₓb

Thus:

[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]

We know the value of log_b3, and a log with the same values for the base equals 1. Thus:

[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]

Which graph represents the solution set to the following system of linear
inequalities?
ys2x+7
y>-3x-2
PLSS HELP!

Answers

Answer:

Step-by-step explanation:

I am not sure what your first inequality is saying y≤2x +7 or y≥2x+7

-the equation y> -3x-2 , has a negative slope m= -3 (the line is going down from left to right if is a negative slope) and it has to be a dotted line( <, or > is a dotted line, ≤, or ≥ is a solid line) so the answer must be either A or D

-if the second equation is y≤2x +7 then the answer is D because y has to be less than 2x+7 the area under the line will be include in the solution

--if the second equation is y≤2x +7 then the answer is A because y has to be greater than 2x+7 the area above the line will be include in the solution

Answer:

1 4/5

Step-by-step explanation:

2x+7>-3x-2

2x+3x>-2-7

5x/5>-9/5

=1 4/5

Thanks Hope It Help

4(1-2x)>32
solve for x​

Answers

Answer:

x < -7/2

Step-by-step explanation:

First, perform the indicated multiplication:

4(1-2x)>32 becomes 4 - 8x > 32.  

Next, isolate the -8x term by subtracting 4 from both sides of this inequality:

-8x > 28

Finally, solve for x by dividing both sides by -8.  This requires that we reverse the direction of the inequality sign:

x < -28/8, or, after reduction, x < -7/2


Which models best illustrates the inequality and its graph?

a.) tina can type at least 60 words per minute

b.)tina can type at most 60 words per minute

c.)tina can type no more than 60 words per minute

d.) tina can type more than 60 words per minute

Answers

Answer:

a)

Step-by-step explanation:

The graph shows a solid dot on 60 and shading to the right of 60, so it shows all numbers greater than or equal to 60.

a.) tina can type at least 60 words per minute

At least 60 means greater than or equal to 60.

This is the answer.

b.)tina can type at most 60 words per minute

This is less than or equal to 60.

c.)tina can type no more than 60 words per minute

This means less than or equal to 60.

d.) tina can type more than 60 words per minute

This means greater than 60.

Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)

Answers

Answer/Step-by-step explanation:

✔️Volume of right cylinder = πr²h

Where,

π = 3.14

radius (r) = 4 cm

height (h) = 3 cm

Plug in the values into the formula

Volume of cylinder = 3.14*4²*3

= 150.72 cu cm

✔️Volume of cone = ⅓πr²h

Where,

π = 3.14

radius (r) = 5 cm

height (h) = 12 cm

Plug in the values into the formula

Volume of cylinder = ⅓*3.14*5²*12

= 314 cu cm

✔️Volume of pyramid = ⅓*Bh

Where,

Base area (B) = 16 cm²

height (h) = 30 cm

Substitute

Volume of pyramid = ⅓*16*30

= 160 cu cm

✔️Volume of square pyramid = ⅓*s²*h

Where,

Length of square base (s) = 3 cm

Height (h) = 16 cm

Substitute

Volume of square pyramid = ⅓*3²*16

= 48 cu cm

james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

The formula for area is l(w). This stands for length and width, or long and wide in this problem. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000m.

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

HOPE IT HELPS YOU

MARK ME BRAINLIEST

My homework is due soon, help!!

Answers

Answer:

50.24

Step-by-step explanation:

A = Area

Radius = 4 (The radius is half of the diameter

Diameter = 8

Pie = 3.14

A = (pie)r^2

A = (3.14)4^2

A = (3.14)16

A = 50.24

In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.

Answers

The cosine of the acute angles are 0.80 and 0.60 respectively

The given parameters are:

[tex]Leg\ 1 = 4x[/tex]

[tex]Leg\ 2 = 3x[/tex]

[tex]Hypotenuse = 5x[/tex]

Let the acute angles be [tex]\alpha[/tex] and [tex]\beta[/tex]

The cosine of the acute angles is calculated using:

[tex]\cos(\alpha) = \frac{Leg\ 1}{Hypotenuse}[/tex]

[tex]\cos(\beta) = \frac{Leg\ 2}{Hypotenuse}[/tex]

So, the formula becomes

[tex]\cos(\alpha) = \frac{4x}{5x}[/tex]

[tex]\cos(\alpha) = \frac{4}{5}[/tex]

[tex]\cos(\alpha) = 0.80[/tex]

and

[tex]\cos(\beta) = \frac{3x}{5x}[/tex]

[tex]\cos(\beta) = \frac{3}{5}[/tex]

[tex]\cos(\beta) = 0.60[/tex]

Hence, the cosine of the acute angles are 0.80 and 0.60 respectively

Read more about cosines at:

https://brainly.com/question/19923448

help please ASAP!!! Got a lot of math to do here comes an all nighter :(

Answers

Answer:

110

Step-by-step explanation:

2 ( wl+hl+hw ) = 2 (7·1+6·1+6·7 ) = 110

Here Enjoy :)

PLS HELP Leo is looking at two different savings plans. The first plan requires an initial deposit of $500 and grows at an annual interest rate of 2.5%. The second plan requires an initial deposit of $400 and interest grows continuously at a rate of 2% per year. Leo wrote a system of equations to represent the account balance of either plan, y, after x years. Which two equations are part of the system?
OPTIONS ARE BELOW

Answers

Answer:

First and Second option choices

Step-by-step Explanation:

1st case:

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)×

y = 500(1+2.5/100)×

y = 500(1+0.025)×

y = 500(1.025)×

2nd case:

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)×

y = 400(1+0.02)×

y = 400(1.02)×

The correct option is (A) and (B)

What are Equations?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation. Look at the image below to understand the parts of an equation.

Initial deposit (P) = 500

Annual interest rate (r) = 2.5%

Account balance after x years, y = P(1+r/100)^×

y = 500(1+2.5/100^)×

y = 500(1+0.025)^×

y = 500(1.025)^×

again,

Initial deposit (P) = 400

Annual interest rate (r) = 2%

Account balance after x years, y = P(1+r/100)×

y = 400(1+2/100)^×

y = 400(1+0.02)^×

y = 400(1.02)^×

Learn more about Algebra here:

https://brainly.com/question/10413253

#SPJ2

Can someone correct my work and answer/explain question C)

Marking Brainliest, 10 Points

Answers

Answer:

4 TOPPING WITH 5 CENTS LEFT

Step-by-step explanation:

A AND B ARE CORRECT ok so $6.50 to spend take out $3 for the cost of a plain hamburger which would leave you with $3.50 to spend on toppings alone so

3.5-0.75=2.75 (1 topping

2.75-0.75=2 (2 topping

2-0.75=1.25 (3 topping

1.25-0.75=0.5 (4 topping

there for you can get 4 toppings with 5 cents left over

Help me, please I'd appreciate it

Answers

Answer:

m = 36

Step-by-step explanation:

A^2 + B^2 =  C^2

81 +  144 = 225

square root of 225 =  15

n = 15

m = ?

39 = 39

225  + m ^2 = 1521

m^2 = 1296

m = 36.

CHECK :

225 + 1296 =  1521

CORRECT!

Find the products using suitable identity:
1.(3y –2z) (3y + 2z)
2.105 × 98

Answers

2)10,290

105

98

10290

(3y-2z) (3y+2z)

3y(3y+2z)-2z(3y+2z)

9y2+6yz-2z(3y+2z)

9y2+6yz-6yz-4z2

9y2-4z2

Ba đường phân giác của tam giác ABC gặp nhau tại O phát biểu nào sau đây đúng
A Ao luôn vuông góc với BC
B OA=OB=OC
C Ao luôn đi qua trung điểm BC
D O cách đều ba cạnh của tam giác

Answers

Answer:

D

Step-by-step explanation:

từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau

PLEASE HELP!!! I dont understand

Answers

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

15
18
21
27

Answers

Answer:

a=15

Step-by-step explanation:

3a+b = 54

Let b=9

3a+9 = 54

Subtract 9 from each side

3a+9-9= 54-9

3a = 45

Divide each side by 3

3a/3 = 45/3

a = 15

Answer:

[tex]3a+b=54[/tex]

[tex]3a+9=54\:[b=9][/tex]

[tex]3a=54-9[/tex]

Subtract 9 from both sides

[tex]3a=45[/tex]

Divide both sides by 3

[tex]\frac{3a}{3}=\frac{45}{3}[/tex]

[tex]a=15[/tex]

OAmalOHopeO

easy algebra question below first correct answer gets brainliest

Answers

Answer:

Y = 27

Step-by-step explanation:

To find the the value of y when x = 4 simply substitute the given value of x

into the equation and solve for y

Equation given: y - 3x = 15

x = 4 * substitute 4 for x in given equation *

y - 3(4) = 15

Now solve for y

simplify multiplication

y - 12 = 15

Add 12 to both sides

y - 12 + 12 = 15 + 12

y = 27

So we can conclude that when x = 4 y = 27

Answer:

y = 27

Step-by-step explanation:

y - 3x = 15

Let x = 4

y - 3(4) = 15

y - 12 = 15

Add 12 to each side

y -12 +12 =15+12

y = 27

pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º. ​

Answers

Answer:

70cm

Step-by-step explanation:

33=27/360*2*22/7*r

33*2520/1188=r

83160/1188=r

r=70cm

hope it's right

Help memememememe please

Answers

Answer:

good evening good evening good evening good evening

Step-by-step explanation:

w

Answer:

∠b = 54°

they add up to 180

7x + 14 + 5x - 26 = 180

12x = 192

x=16

thus ∠b = 54°

Step-by-step explanation:

Simplify (square root 3)(^5 square root 3)

Answers

Answer:

[tex]3^{\frac{7}{10} }[/tex]

Step-by-step explanation:

[tex]\sqrt{3} *\sqrt[5]{3}[/tex] = 3^1/2 x 3^1/5 = 3^(1/2 +1/5) = 3^7/10

Answer:

Step-by-step explanation:

Exponent law: [tex]a^{m}*a^{n}=a^{m+n}[/tex]

[tex](\sqrt{3} ) )*(\sqrt[5]{3})= 3^{\frac{1}{2}}*(3^{\frac{1}{5}})\\\\=3^{\frac{1}{2}+\frac{1}{5}}\\\\=3^{\frac{1*5}{2*5}+\frac{1*2}{5*2}}\\\\= 3^{\frac{5}{10}+\frac{2}{10}}\\\\=3^{\frac{5+2}{10}}\\\\=3^{\frac{7}{10}}[/tex]

Will Mark Brainlest helpppp plssss​

Answers

Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?

Answers

Answer:

{1, 0, 16}

Step-by-step explanation:

given..

j(x) = x^2-2x+1

put all given values of domain (1,0 and 5 ) in the equation..

the values you get are range of the function

Answer: 1

Step-by-step explanation

0(2)-2(0)+1=0+0+1= 1

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

(5)(2)-(2)(5)+1=10-10+1= 1


Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x - 1)(x-9)
B. (x + 1)(x-9)
C. (x - 1)(x+9)
D. (x + 1)(x + 9)

Answers

Answer:

Step-by-step explanation:

The zeros are located at x = 1 and x = 9. If x = 1 is a solution, then the factor is (x - 1); if x = 9 is a solution, then the factor is (x - 9). Choice A is the one you want. FOIL these out and you will get the equation for the quadratic.

Other Questions
I need help its urgentttttt!!!!!!! HELP MEEWhat is the LCM of 9 and 12?2436312 The step function f(x) is graphedWhat is the value of ( -1)?340 130 0211.-4-3-212345 6X-2 Suppose that a sales person observes that if an item is priced at $9 per item then 6 items are sold. If 4 items are sold for $11 per item then find a linear equation to model the number y of items sold for x dollars per item. Find the slope-intercept form of the equation of the line. A wire, 0.60 m in length, is carrying a current of 2.0 A and is placed at a certain angle with respect to the magnetic field of strength 0.30 T. If the wire experiences a force of 0.18 N, what angle does the wire make with respect to the magnetic field divide 180 in three parts 1/10: 1/15: 1/20 G is related to one of its parent function g(x)=2x. a) find the f function b) using the function notation write g interns of f When selling on the street, dealers may not know the purity of the ketamine they have, and thus users do not know exactly how much ketamine they are receiving. It is unlikely that the ketamine is pure, or even that different batches of ketamine have the same purity. Assume the drug the user typically buys is only 25% ketamine, and therefore, the user actually dissolved 0.250 g ketamine in 1/4 cup of water to make the solution instead of 1 g in the previous question. 1 cup = 236.5 mL What volume of this ketamine solution would the 65.0 kg user have to inject to experience a high at 0.400 mg/kg? volume: mL What volume of this ketamine solution would the user have to inject to become unconscious at 2.00 mg/kg? of use contact us help What volume of this ketamine solution would the user have to inject to become unconscious at 2.00 mg/kg? Cual es el resultado de dividir 164.64 entre 8 A ball is thrown into the air with an upward velocity of 36ft/s . Its height h in feet after t seconds is given by the function h= -16t2 + 36t +10 . How many seconds does the ball reach its maximum height Currently, your masks sell for $1 each. At that price you are able to sell 6000masks per week: A recent survey you conducted found that for every 10 centincrease in the price of the mask package you would sell 150 less mask packages.. An electronics company makes communications devices for military contracts. The company just completed two contracts. The navy contract was for 2,540 devices and took 27 workers two weeks (40 hours per week) to complete. The army contract was for 5,940 devices that were produced by 37 workers in three weeks (40 hours per week). a. Calculate the productivity for navy and army contracts in units produced per labor hour. . If Canace Company, with a break-even point at $313,500 of sales, has actual sales of $570,000, what is the margin of safety expressed (1) in dollars and (2) as a percentage of sales? Round the percentage to the nearest whole number. 1. $fill in the blank 1 2. fill in the blank 2 % b. If the margin of safety for Canace Company was 25%, fixed costs were $1,419,375, and variable costs were 75% of sales, what was the amount of actual sales (dollars)? (Hint: Determine the break-even in sales dollars first.) $fill in the blank 3 How is point of view developed inside of a text and what does it reveal to us as readers ? Check all that apply.4x2 + 4x + 1 = 0O A. X=121B. X= -2c. x=-1O D. x = 2O E. x==32O F. X = 3 Describe the formation of Mountain Everest. A large metal sphere has three times the diameter of a smaller sphere and carries three times the charge. Both spheres are isolated, so their surface charge densities are uniform. Compare (a) the potentials (relative to infinity) and (b) the electric field strengths at their surfaces. There are 2 types of cells in nervous tissue, what are their roles? A teacher designs a test so a student who studies will pass94% of the time, but a student who does not studywill pass14% of the time. A certain student studies for91% of the tests taken. On a given test, what is theprobability that student passes Which confidence level would produce the widest interval when estimating the mean of a population from the mean and standard deviation of a sample of that population?