Evaluate the following by writing it as a difference of two squares first:
103^2 − 97^2

Answers

Answer 1

Answer:

1200

Step-by-step explanation:

A difference of 2 squares factors in general as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

Answer 2

The correct answer is 1200.

What is the difference between two squares called?

Where one perfect square is subtracted from another, is called a difference of two squares. It arises when (a − b) and (a + b) are multiplied together. This is one example of what is called a special product.

A difference of 2 squares factors in general is written as

a² - b² = (a - b)(a + b) , then

103² - 97²

= (103 - 97)(103 + 97)

= 6 × 200

= 1200

Learn more about the difference of 2 squares here https://brainly.com/question/3189867

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Related Questions

Please help if it's right I'll give brainliest

Answers

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

so angle BXC is 70 degrees.

what is the current produced by a 9-v battery flowing through a resistance of 150 ω

Answers

Answer:

Step-by-step explanation:

A standard 9V battery has about 400-600 mAh capacity. In the most basic terms, these batteries can supply about 500 milliamps for one hour before being "dead".

20x29 devided by 9+20=?



help​

Answers

Answer:

20

Step-by-step explanation:

[tex] \frac{20 \times 29}{29} = 20[/tex]

Answer:

20X29 devided by 9+20=84.4444444444

a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?​

Answers

Answer:

You will sell 429 salt lamps in 22 weeks.

Step-by-step explanation:

Draw a circle. Shade five sixths of it. What percent circle is not shaded?

Answers

1/6 of the circle is not shaded. That is equal to 16.67%

i need help math hard

Answers

Answer:

15°

Step-by-step explanation:

Find the slope of the line graphed below.​ 21 points!

Answers

The answer is 3/2
3 units up and 2 units to the left that is the slope

Answer:

The answer is 1.5

Step-by-step explanation

First you want to find the rise. This is the amount of height between the two points (Y) and divide them over the run. This is amount of distance (X) between the points. This will be 6/4. Divide this and you have your answer!

Please help !!!!!!
Carl is looking for tickets to a concert. Last week he found them for $35.00 each ticket. This week the price is $54.00 for each ticket. Did the price increase or decrease? What was the percent change in price? (Show all of your work)

Answers

Answer:

See Below

Step-by-step explanation:

Lets note some facts,

Last weeks price for tickets: $35

This weeks price: $54

If you were to ask if these numbers increased or decreased, the numbers increased.

It increased by 19%, for as 19 dollars.

Hope this helps!

X+y=2 x-y=4 solve using elimination

Answers

(3, -1)  Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.

How many football fields are 1.4 billion acres

Answers

Answer:

67760000000

Step-by-step explanation:

Find the measure of each angle indicated.

Answers

Answer:

alot of 5

Step-by-step explanation:

What is the value of x in the equation 5x(34+20) =36

Answers

Answer:

x=3.6

Step-by-step explanation:

parentese first so add 34+20= 54

5x54=36

-54=-54

5x= -18

5x/5x -18/5x

x= 3.6

40 pts & Brainliest to first Correct. PLZ HELP ASAP

Answers

Answer: [tex]16x^4y^2a^6[/tex]

Step-by-step explanation:

just apply to the power of 2 to every term

-4 times -4 is 16

x^2 to power of 2 is 2 times 2 so x^4

y^2 is y^2

a^3 to power of 2 is 3 x 2 = 6 so a^6

16x^4y^2a^6

Answer:

16x^4y^2a^6

Step-by-step explanation:

Do this step by step

16x^4y^2a^6

Please give brainliest!

What is theValue of x ?

Answers

Answer:

10

Step-by-step explanation:

x is 10

Write the explicit formula for
-1,-3,-9,-27,-81...

Answers

Answer:

[tex]- \frac{1}{3} * 3^n[/tex]

Step-by-step explanation:

This is a geometric sequence/progression

Therefore, we use the formula [tex]a_{n} = \frac{a_{1} * r^n}{r}[/tex]

Where [tex]a_{1}[/tex] [tex]=[/tex] [tex]-1[/tex],

and [tex]r = 3[/tex]

[tex]a_{n} = \frac{-1 * 3^n}{3}[/tex]

[tex]a_{n} = -\frac{1}{3} * 3^n[/tex]

write an expression 4 and 4 added to double 5

Answers

Answer: (4*4) + (2*5)

Help please this is for a exam i give brainliest to!
Which expression results in a sum or difference of 4 9/36?

A: 8 2/3 - 4 5/12

B: 2 3/12 + 2 1/3

C: 6 5/9 - 2 1/4

D: 3 1/4 + 1 4/9
NO LINKS!!!

Answers

Answer:

The Answer is A. :)

Step-by-step explanation:

In a school 2/3 of the students study a language
Of those who study a language, 2/5 study french
Find the ratio of students who study French to students who do not study french. Give your answer in it simplest form.

Answers

Answer:

4:6

or 4/15 : 2/5

Step-by-step explanation:

7/8 times 7/9 what is the answer

Answers

49/72 is the correct answer!

write an equation of the line passing through (2,-3) and is parallel to the line y=-2x-3. I need it done fast 40 points

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

A parallel line has the same slope but different y-intercept.

Transfer the slope (-2) and the ordered pair (2, -3) into point slope form.

Then make it from point slope form to slope intercept.

Hope this helps you. :)

help me brain pt Part 2

Answers

I think it would just be 34. There is a difference of 20 between -20 and 0 and a difference of 14 between 14 and 0. 20+14=34

What is the median of 8,19,36,46,56

Answers

Answer:

median = 36

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

8   19   36   46   56

            ↑ middle value

median = 36

Please help!! will mark branliest
6.7 problem 13
A rubber ball is dropped onto a hard surface from a height of 8 feet, and it bounces up and down. At each bounce it rises to 85% of the height from which it fell. (Hint: Read all units carefully!)

(a) Find a formula for h(n), the height in inches reached by the ball on bounce n.
h(n)=

(b) How high will the ball bounce on the 8th bounce?
h=

(c) How many bounces before the ball rises no higher than an inch?

Answers

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

[tex]h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'[/tex]

b. After 8 bounces we can apply the previous formula with n = 8 to get

[tex]h(8)=(\frac{17}{20})^8\times 72' = 19.62'[/tex]

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous [tex]h(n)[/tex]increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

[tex]1>(\frac{17}{20})^n\times 72[/tex] Let's first isolate the fraction by dividing by 72.

[tex](\frac{17}{20})^n<\frac1{72}[/tex]  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

[tex]ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72[/tex]. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

[tex]-(0.16)n < - 4.27 \rightarrow n>26.31[/tex] Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

help meeeeeee.....!!!!
I WILL MARK BRAINIEST!!!

Answers

You just plug 0 in for either x or y to get the other intercept since it’s in standard form
8x=35
X= 35/8
-7y=35
Y=-5
X-intercept: 35/8
Y intercept: -5

Answer:

X = 35/8

Y = -5

Write the function in slope-intercept form
4y=-8x-10
WILL MARK BRAINLIEST

Answers

Answer:

Y=2x- 5

       -----

          2

Step-by-step explanation:

Work out the circumference of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
10 cm.

Answers

Answer:

62.84

Step-by-step explanation:

pie=3.142

c=pie * diameter

r=10cm

d=2r

d=2(10)=20cm

c=3.142 * 20

c=62.84

Step-by-step explanation:

Formula for the Circumference of a circle = 2πr

C = 2πr

C = (2 * 3.142) * 10

C = 6.284 * 10

C = 62.84cm

Is t = –2 a solution to the inequality below?

–1 ≤
t

yes or no

Answers

the inequality Is showing that -1 is less than or equal to t. If t was -2 then this would not make sense, since -1 is greater than -2.

Hope this helped

7/12 of £72!!!!
i really need the answer lol

Answers

Answer: Its ¨undefined¨ hope this helps !!

Answer: 42

Step-by-step explanation:

1/12 of 72 is 6

6x7 = 42

a rule in a relation in which each input is paired with, or assigned to, exactly one output.

Answers

Answer:

Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.

Step-by-step explanation:

Someone help mah
A die was rolled six times. The rolls were 1. 2. 3.3.4. and 5. What is the mean deviation for this data?

A) 3/5

B) 1

C) 2

D) 6​

Answers

Answer:

3

Step-by-step explanation:

1+2+3+3+4+5

6

=18 =3

6

=3

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