evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2

Answers

Answer 1

Answer:

(502)2 - (498)2

Step-by-step explanation:

(502)2 - (498)2

Solution:

(502)2 -(498)2

Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.

HOPE IT HELPS YOU!!!
Answer 2

The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

Recall:

The difference of two squares, i.e. x² - y², can be expressed and evaluated as;

x² - y² = (x - y)(x + y)

Given:

104² - 96²

The difference can be expressed and evaluated as shown below:

104² - 96² = (104 - 96)(104 + 96)

104² - 96² = (8)(200)

104² - 96² = 1,600

Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

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Related Questions


Please help me
what is the premiter of the semi circle​

Answers

Answer:

B

Step-by-step explanation:

Is this a function? thanks for the answers:)

Answers

Answer:

Yes

Step-by-step explanation:

I am pretty sure it is a linear function

Answer:

yes

Step-by-step explanation:

[tex]3x+6-y=2y-8\\\\3x+6=2y+y-8\\\\3x+6=3y-8\\\\3y-8=3x+6\\\\3y=3x+6+8\\\\3y=3x+14\\\\y=x+\frac{14}{3}[/tex]

so yes it's a function

what is the graph of 3x+5y=-15?

Answers

Answer:

Root: (-5,0)

Vertical Intercept: (0,-3)

m = -3/5

b = -3

Step-by-step explanation:

I hope it’s helpful

what are the steps for solving
6x-1=-x+9

Answers

Answer:

x=10/7

Let's solve your equation step-by-step

6x−1=−x+9

Step 1: Add x to both sides

6x−1+x=−x+9+x

7x−1=9

Step 2: Add 1 to both sides

7x−1+1=9+1

7x=10

Step 3: Divide both sides by 7

7x/7=10/7

x=10/7

Answer:

x = 10 / 7

Step-by-step explanation:

6x - 1 = -x + 9

Add 1 to both sides of the equation.

6x - 1 = -x + 9

6x - 1 + 1 = -x + 9 + 1

Simplify

Add the numbers

6x - 1 + 1 = -x + 9 + 1

6x = -x + 9 + 1

Add the numbers

6x = -x + 9 + 1

6x = -x + 10

Add x to both sides of the equation.

6x = -x + 10

6x + x = -x + 10 + x

Simplify

Combine like terms

6x + x = -x + 10 + x

7x = -x + 10 + x

Combine like terms

7x = -x + 10 + x

7x = 10

Divide both sides of the equation by the same term

7x = 10

7x/7 = 10/7

Simplify

Cancel terms that are in both the numerator and denominator.

7x/7 = 10/7

x = 10/7

Solution

x = 10/7

I hope this helps have a great day!!!

Prove that if two crosses are equal, than each pair of crosses are equal.​

Answers

Measure them to see if they are equal.
If two crosses are equal then they’re gonna be equal.

Solve 3(−3−3x)+4=−5.

Answers

Answer:

49

Step-by-step explanation:

you need to multiply all them and get 49

Answer:

0

Step-by-step explanation:

3(-3-3x)+4=-5

3(-3-3x)=-9

-9-9x=-9

-9x=0

0/-9=0

I need help with this quick question. PLS

Answers

Step-by-step explanation:

please sorry to barge into your question without any reasonable answer all I want to say is that this is a graph and I think that the domain and range this is increasing to calculate like the unit for example you have - 9 and - 3 you should calculate how many units are between -9 and -2 I'm not sure and I just really need marks now point where I can get on with my procedure so sorry for just barging in like that I'm so sorry

9514 1404 393

Answer:

  x < -5

Step-by-step explanation:

The function is increasing where its slope is positive. That is where each point is higher than the one to its left. You see that is the case for all points to the left of the vertex, which is at x=-5.

The domain where the function is increasing is x < -5.

_____

Additional comment

At the vertex, the function is horizontal, neither increasing nor decreasing. So, the vertex itself is not included in the domains of increase or decrease.

1.) Determine if the coordinate points represent a function. (1.3). (2.6). (3.9). (4. 12). (5.15

O Function

O Not a Function

O both​

Answers

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

I need help it’s urgent please I would really appreciate it

Answers

Answer:

The entire race is 26.20 miles long.

Step-by-step explanation:

Given that:

Sam is 18.34 miles in the race.

This length represents the 70% of the entire length of the race.

Let,

x be the total length of the race.

70% of x = 18.34

[tex]\frac{70}{100}x=18.34\\[/tex]

0.7x = 18.34

Dividing both sides by 0.7

[tex]\frac{0.7x}{0.7}=\frac{18.34}{0.7}\\x=26.20[/tex]

Hence,

The entire race is 26.20 miles long.

21. At Seaford Middle School the cafeteria serves ice cream sandwiches every 5 days and serves
pizza every 6 days. When will be the next day that they serve both ice cream sandwiches and pizza?

Answers

Answer:

on the 30th day

Divide 3 1/2 divided by 1/2 in simplest form

Answers

I believe the correct answer is 7 :)

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Help it is due ASAP....

Answers

Answer:

c

Step-by-step explanation:

Answer: ∠4 and ∠5

Step-by-step explanation:

Those angles are alternate.

Sorry I took long btw, my mom called me and I forgot bout this. TnT

Hope I helped tho!

Can someone please help? I need to get this doe so I can do something important

Answers

Answer:

9. 4/1 or 4. 10. 0

Step-by-step explanation:

9.

Slope- y2-y1/x2-x1

11-7/4-3= 4/1 or 4

10.

Slope-y2-y1/x2-x1

7-7/5-0= 0/5

When 0 is the numerator of the slope, then the slope is 0.

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply

Answers

Answer:

A. the domain is all real numbers. and

B.the y-intercept is 3

Pls help and show workings
Thank you in advance
Option
A. 7
B. 10
C. 13
D. 22

Answers

Answer:

D

Step-by-step explanation:

rule: sum of two angles in triangle, should always be higher then the other angle: 13+9=22,

it should be bellow 22. it can not be D

Express this number in scientific notation.
31 billion

Answers

31 x 10 raised to power of 10

Hope this helps

Answer:

3.1 * 10^10

Step-by-step explanation:

we know 1 billion is 1,000,000,000

In scientific notation

1,000,000,000=1 * 10^9

To find the value of 31 Billion

Multiply the value of one billion for 31

so

31 * 1 * 10^9  = 31 * 10^9

= 3.1 *  10^10

what is the slope of the line that passes through the pair of points. (1,7) , (10 ,1)​

Answers

Answer:

-6/9 = -2/3 (C)

Step-by-step explanation:

which of the following is geometric sequence?

Answers

Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]

Nope that's not what we're looking for.

Choice B:

[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

[tex]6^{*3},18^{*3},54^{*3},162[/tex]

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]

Nope this is not it either.

PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box

Answers

Answer:

4

Step-by-step explanation:

z = [tex]\frac{6}{15}[/tex] × 10

  = 4

Human skin has a thickness of about 5 * 10-3 meter. A
grain of sand has a thickness of about 1x 10-3 meter.
About how many grains of sand would it take to match the thickness
of human skin?
Grains of Sand
Human Skin
(1 x 10-3)
(5 x 10-3)
DONE

Answers

Answer:

1.Human skin is thicker than the grain of sand.

2.It will take 5 grains of sand to match the thickness of a humans skin

Step-by-step explanation:

A telemarketer earns a fixed amount for each call that he makes, as shown in
the graph below.


If the telemarketer makes 12 calls, how much will he earn in total?

A. $4.80
B. $9.60
C. $0.80
D. $1.20

Answers

Answer:
B. $9.60
Explanation:
1 call = $0.80
$0.80 x 12 calls = $9.60

Answer:

The answer is $9.60!

Step-by-step explanation:

How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27

Answers

This has infinite solutions because when you multiply 3 by the values in the parentheses they will equal.
3(x+9)=3x+27
3x+27=3x+27

Please help ASAP :) thank you

Answers

Answer:

B

Step-by-step explanation:

since from -2 it starts to be a straight line and ends at 1

The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

Answers

Given :

The admission fee at a small fair is $1.50 for children and $4.00 for adults.

On a certain day, 2,200 people enter the fair and $5,050 is collected.

To Find :

How many children and how many adults attended.

Solution :

Let, number of children and adults attended are c and a.

So, c + a = 2200      ....1)

Now, fair collected is given by :

1.5c + 4a = 5050     ....2)

Putting value of a from equation 1) to 2), we get :

1.5c + 4( 2200 - c ) = 5050

1.5c - 4c = 5050 - 8800

2.5c = 3750

c = 1500

a = 2200 - 1500

a = 700

Therefore, 1500 children and 700 adults attended the fair.

Which expression is equivalent to
(5^-2)(5^-1)?

Answers

Answer:

5^-2.5^-1

5^-2-1

5^-3

1/125

Which expressions are equivalent?

a. 1/5k-2/3j and -2/3j+1/5k

b. 1/5k-2/3j and -1/5+2/3j

c. 1/5k-2/3j and 1/5k-2/3j

d. 1/5k-2/3j and 2/3j-1/5k​

Answers

I think it would be C

Answer:

according to the creator its A

Step-by-step explanation:

i did A and it was correct on edge 2021

what is the square root of 5 divided by 5 square root of 3?

Answers

Should be 0.77459666924.

Just the first 3 numbers

Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute. How many liters of water remain in the tank after 30 seconds?​

Answers

Answer:

78.75 ?

Step-by-step explanation:

calculator..

The volume of water remain in the tank after 30 seconds is 78.75 liters.

The given parameters;

initial volume of water in Tank B, V₀ = 80 litersrate at which water is being drained, R = 2.5 liters per minute.time of water drain, t = 30 seconds

The amount of water drained after 30 seconds is calculated as follows;

[tex]V_1 =2.5 \ \frac{liters}{\min} \times \frac{1 \min}{60 \ s} \times 30 \ s\\\\V_1 = 1.25 \ liters[/tex]

The volume of water remain in the tank after 30 seconds is calculated as follows;

V₂ = V₀ - V₁

V₂ = 80 liters - 1.25 liters

V₂ = 78.75 liters

Thus, the volume of water remain in the tank after 30 seconds is 78.75 liters.

Learn more here: https://brainly.com/question/13559135

geometric sequence or whatever
How do I do this? Please give subtle explanation too. I don't really understand at all. If I understand this question, I'll understand the rest.
(it's 54 points too lol)

Answers

Step-by-step explanation:

An = -2 * An-1

What this means is that you multiply -2 to the term to get the next term.

Since our 1st term (A1) is -2, we have:

A2 = -2 * A1 = -2 * (-2) = 4,

A3 = -2 * A2 = -2 * (4) = -8,

A4 = -2 * A3 = -2 * (-8) = 16,

A5 = -2 * A4 = -2 * (16) = -32,

A6 = -2 * A5 = -2 * (-32) = 64.

Hence our first 6 terms in the GP are

-2, 4, -8, 16, -32 and 64.

~Can ~ you ~ please ~ help ~ me ~ out?~
Also please don't make fun of how I write my questions- ;w;
If you do that's okay, I'm not the boss of you ^^

Answers

Answer: c

Step-by-step explanation:

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