Which of the equations are true identities? A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n B. ( x + 1 ) 2 − 2 x + y 2 = x 2 + y 2 + 1

Answers

Answer 1

Answer:

Both A and B are true identities

Step-by-step explanation:

A. N ( n − 2 ) ( n + 2 ) = n 3 − 4 n

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

 n ( n − 2 ) ( n + 2 ) = n(n² - 2²)     (difference of two squares)

                               = n³ - 2²n       (expanding the brackets)

                               = n³ - 4n         (simplifying)

So,                L.H.S  = R.H.S

B. ( x + 1 )² − 2x + y² = x² + y² + 1

We need to show that (left-hand-side)L.H.S = R.H.S (right-hand-side)

So,

( x + 1 )² − 2x + y² = x² + 2x + 1 - 2x + y²   (expanding the brackets)

                             = x² + 2x - 2x + 1  + y²   (collecting like terms)

                             = x² + 1 + y²        

                             = x² + y² + 1                    (re-arranging)

So,              L.H.S  = R.H.S

So, both A and B are true identities since we have been able to show that L.H.S  = R.H.S in both situations.


Related Questions

im new can anyone help

Answers

Answer:

We have the equation:

[tex]W = W_0*(\frac{1}{2})^{0.36*t}[/tex]

Where:

W₀ is the initial area of the wound, and t is the time in days.

Now, if we initially have a wound of 25 mm^2, then:

W₀ = 25mm^2

And we can replace it in the equation, then we get:

[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*t}[/tex]

We want to know the size of this wound after:

a) 1 day.

We know that t represents time in days, so here we just need to replace t by one, then:

[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*1} = 19.5 mm^2[/tex]

b) 1 week

Again, t represents the time in days, so we need to write this in days.

We know that:

1 week = 7 days.

then t = 7

The size of the wound after 7 days is:

[tex]W = (25mm^2)*(\frac{1}{2})^{0.36*7} = 4.36 mm^2[/tex]

A recipe requires 4 cups of milk you can only use 3/4 how many 3/4 cups do you need

Answers

Answer:

You would need 5 3/4 cups of milk.

Step-by-step explanation:

It's right! Brainliest?

On Monday, a local hamburger shop sold a combined total of 270
hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

I’m doing it for the points

PLEASE HELP!

what is the distance between points A and B shown in the graph below?


choices:
A: square root of 2
B: square root of 98
C: 10
D: 14

Answers

The answer your looking for is A

9. What is the sales tax on an item that costs $67.00 if the state sales tax is 6.5%?

A. $435

B. $4.35

C. $3.35

D. $.45

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. $4.35

Step-by-step explanation:

to find your sales tax you just have to do [cost of the item] x [ percentage as a decimal]= sales tax

so in your case it would be [$67.00] x [0.065] = $4.35

Solve the equation using addition or subtraction
22 + 15 = d - 17

Answers

Answer:

d=54

Step-by-step explanation:

22 + 15 = d - 17

37=d-17

54=d

d=54

Answer:

d=44

Step-by-step explanation:

22+15=37 so ?-17=37 well its 44 because 44-17=37

Which lizard is growing at a constant rate?
A.Chuck
B.Betty
C.
Snapper
D.Rocky

Answers

Rocky, because after each year he grows 3cm, making it a constant rate/pattern
Your question answer is D (rocky )
Hope this help full to you !

y=(8/7)x
growth or decay?

Answers

Growth

Step-by-step explanation:

Answer:

Growth

Step-by-step explanation:

Increasing rate greater than 1. It would be decay if it was less than 1.

12,10,12,13,9,11,8 mean median and mode

Answers

Answer:

Mean: 10.7

Median: 11

Mode: 12

Hope you find this helpfull:)

Help please with this lol.

Answers

answer:

the value is $3.02

Answer:

$ 3:20

Step-by-step explanation:

also WHAT THE HECK THIS IS LIKE FIRST GRADE STUFF!!

what is the explanation to x^2 = -5x

Answers

*Answer*

x=0 or x=−5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2=−5x

Step 1: Subtract -5x from both sides.

x2−−5x=−5x−−5x

x2+5x=0

Step 2: Factor left side of equation.

x(x+5)=0

Step 3: Set factors equal to 0.

x=0 or x+5=0

x=0 or x=−5

Please help..Thank you❤️

Answers

Answer:

answer b <3

Step-by-step explanation:

Answer: 48

Step-by-step explanation:

280*(17/100) = 47.6

What number is represented by the point plotted on the number line? A horizontal number line from negative 2 to 2, with arrows at each end. Major tick marks are at every 1 unit and the units are labeled below the number line. There are 5 evenly spaced minor tick marks between every 2 major tick marks. Point X is plotted on the third minor tick mark to the right of 1. 12 112 123 212

Answers

it’s a because the number line on the plot equals that

Answer:

-7/8

Step-by-step explanation:

The point is located between -1 minus, 1 and 0.

Let's zoom in on this piece of the number line. Each whole is split into eight equal parts, or eighths.

The point is located -7/8.

I need helppp pleaseeeeeeeeeeee

Answers

Answer:

what do you need help with        

Step-by-step explanation:

Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there

Answers

I’m pretty sure that it’s 6

What is the 3rd term of a geometric sequence with a common ratio of 1/3 and a first term of 90

Answers

See below hope it helps

Answer: 90,30,10

help me please !!!will give brainliest

Answers

Answer:

1. C

2. B

3. B

4. A

Answer:

1)c 2)b 3)b 4)a

Step-by-step explanation:

ez

Mario baked cookies for the class party.

The students ate
3
4
of what Mario brought.
The students on his bus ate
1
3
of what was left.
Mario had 6 when he got home.
How many cookies did Mario bake?

Answers

Answer:

He made 53 cookies

FIRST CORRECT ANSWER GETS BRAINLIEST! CALCULATE THE SLOPE FOR INTERVAL A.

Answers

Answer:

60

Step-by-step explanation:

The slope is going to be rise over run which is feet/seconds

from (0,0) to (600,10) which is a the line rises up 600 feet and runs 10 seconds

so it is just 600/10 which is 60

Hope that helps :)

Answer:

I'm guessing this is a coordinate plain so the answer would be

Step-by-step explanation:  

5 , 300

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

  x = 63°

Step-by-step explanation:

~ They are adjacent angles because they have a common (one) vertex.

~ To find the value of x we must make an equation.

Angles on a straight line add up to 180°.

  117 + x = 180

  x = 180 - 117

  x = 63°

Answer:

63

Step-by-step explanation:

63 is the answer

what are some equations

Answers

Answer:

It requires of two equations

Step-by-step explanation:

example:

2x +7y = 12

the ratios of the sides of a triangle are 3:2:4. if the shortest side is 26cm, what is the length of the longest side?

Answers

Answer: 52

Divide 26/2 and you get 13, and then multiply 13 by 4. Think of it as a proportion.

PLEASE ANSWEAR IM FALLING MATH :((( .. Maniah has a meal in a restaurant. She adds up the prices listed on the menu for everything they ordered and gets a subtotal of $57. When the check comes, it says they also need to pay $4.23 in sales tax. What percentage of the subtotal is the sales tax?

A.
2.41%

B.
0.0742%

C.
4.23%

D.
7.42%

Answers

Answer:

D

Step-by-step explanation:

To find the answer, input this into your calculator

4.23/57 × 100

This gives the percentage of 7.42% (rounded)

hope this helps :)

54 ft = ____ yd 9. 11 L ≈ ____ qt 10. 80 g = ____ kg

i need help with this

Answers

Answer:

54 ft = 18 yd 9. 11 L ≈ 11.6236 qt 10. 80 g = 0.08 kg

Step-by-step explanation:

Can someone please help

Answers

Answer:

I think is b

Step-by-step explanation:

Ii just did the math and I think is b

If x + 15 = 30, what is the value of 2(x – 5)?

PLEASE ANSWER TODAY!!!

Answers

Answer:

Answer is 20

Step-by-step explanation:

X+15=30

30-15= 15 so that means 15+15=30

2(x-5) X is 15 so 15-5=10 then multiply by 2.

The required value of 2(x – 5) is 20 when the equation is x + 15 = 30.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows

x + 15 = 30

First, we can solve for x by subtracting 15 from both sides of the equation:

x + 15 - 15 = 30 - 15

x = 15

Next, we can substitute this value of x into 2(x – 5):

2(x – 5) = 2(15 – 5)

2(x – 5) = 2(10)

2(x – 5) = 20

Therefore, the value of 2(x – 5) is 20.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ6

How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work.

Answers

Answer:

X∈∅

Step-by-step explanation:

4x + 5 = 6(x + 3) - 20 - 2x

distribute the 6

4x+5=6x+18-20-2x

collect like terms

4x+5=4x+18-20

4x+5=4x-2

cancel equal terms

5=-2

statment is false for any value of x

X∈∅

PLEASE HELP
The graph shows two lines, A and B.

A graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. A straight line labeled A joins the ordered pair 2, 6 with the ordered pair 6, 2. Another straight line labeled B joins the ordered pair 0, 3 with the ordered pair 4.5, 6.


Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer.


Part B: What is the solution to the equations of lines A and B? Explain your answer

Answers

Answer:

C(2, 2) is the solution to both lines A and B.

Step-by-step explanation:

Line A is given as:

A straight line labeled A joins the ordered pair 3, 0 and the ordered pair 0, 6.

We know that the equation of a line passing through (a,b) and (c,d) is calculated as:

Hence, the equation of line is:

Hence, equation of line A is:

Similarly B is a line passing through (0,0) and (5,5).

Hence, the equation of line B is:

So, from the graph we observe that, the point of intersection of the two lines is (2,2).

Thus, option C is correct.

If Maureen from example 3 works overtime, she receives an hourly rate times her regular hourly rate. What is Maureen's hourly overtime rate?

Answers

9.70(1.5) = 14.55 ; Maureen's hourly overtime rate is $14.55

Hi, help will be appreciated, thanks

Answers

Answer:

y= 60 degrees; x= 6 times square root of 3

Step-by-step explanation:

Look up 30-60-90 triangle rules

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