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

#SPJ2


Related Questions

Oranges cost 85 cents each.
Leo has a $10 note.
Work out the maximum number of oranges he can buy

Answers

Answer:

11

Step-by-step explanation: 100 cents- $1

85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 x 85 = 935

935 or 9.35 dollars

85 cents = 1.25

10 / 1.25

8

What is the slope for M(4,-8 negative) N(6,-1 negative)

Answers

Answer:

m=7/2

Step-by-step explanation:

(PICTURE PROVIDED)
HELPPPPPPP PLS
A: 5/4
B: 3/2
C: 6/5
D: 2/3

Answers

Answer:

I think its 6/5 or 2/3

Step-by-step explanation:

Answer:

1. A

2. C

3. D

4. C

5. D

Step-by-step explanation:

You're welcome

4/5 x 2/35 I need help pls!

Answers

Answer: 8/175

Step-by-step explanation:

Answer: 8/175

Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.

4x2=8

35x5=175

PLEASE HELP ME I REALLY NEED HELP!!

Answers

Answer:

Yes, based on ASA or AAS

Step-by-step explanation:

Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.

180-63= 117- 45=72

The triangles are equal/congruent because two angles and a side are the same values on both triangles.

The amount of workers working on a task varies inversely as the amount of time it takes to finish the task. If 10 people can finish a task in 2 weeks, how many days will it take for 15 people to complete the same task?.

Answers

The number of days it would take 15 people to complete the task is 9.1 days.

The formula used to represent inverse proportion is:

y = [tex]\frac{k}{x}[/tex]

y = dependent variable x = independent variable k = constant of proportionality

The information given in the question can be represented with:

2 = k/10

k = 20

The number of weeks it would take 15 people to complete the same task:

20 / 15 = 1.3 weeks = 9.1 days

A similar question was answered here: https://brainly.com/question/19427172

Solve for x in ½ logx64 = 3


(A)
2


(B)
1


(C)
4


(D)
3

Answers

Answer:

A

Step-by-step explanation:

Using the rules of logarithms

log[tex]x^{n}[/tex] = n logx

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]\frac{1}{2}[/tex][tex]log_{x}[/tex] 64 = 3

[tex]log_{x}[/tex][tex]64^{\frac{1}{2} }[/tex] = 3

[tex]log_{x}[/tex] 8 = 3

8 = x³

2³ = x³ , then

x = 2

I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)

Answers

Answer: the answer is d

Step-by-step explanation:

Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?

Answers

Answer:

2267.25

Step-by-step explanation:

add that fisrt one

Please help me with this!! - Solve: 5 - 2x < 7

A) x < -1

B) x > -1

C) x < -12

D) x > -12

Answers

Answer:

B

Step-by-step explanation:

B. -1

Flip the 5 over to the other side making it a negative so -2x<-5+7. we the flip the sign because the inequality is a negative so -2x>-5+7. We now have to get rid of the negative 2 by dividing -2 from -5+7. That would give us our answer x>-1

Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?

Answers

Probabilities are used to determine the chance of events

The probability that she did NOT choose a boy either time is 1/3

The given parameters are given as:

[tex]\mathbf{n = 10}[/tex] --- total number of students

[tex]\mathbf{Boys = 4}[/tex] --- total number of boys

[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls

If she did not choose a boy in either selection, then it means that both selections are girls.

So, the probability is calculated using:

[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]

The selection is without replacement.

So, we have:

[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]

Substitute known values

[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]

[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]

Simplify

[tex]\mathbf{P = \frac{1}{3}}[/tex]

Hence, the probability is 1/3

Read more about probabilities at:

https://brainly.com/question/11234923

Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 x

Answers

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

3(11-2x)=27
solve the equation

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve for x ~

[tex] \sf3(11 - 2x) = 27[/tex]

[tex]\sf33 - 6x = 27[/tex]

[tex]\sf - 6x = 27 - 33[/tex]

[tex] - 6x = - 6[/tex]

[tex]x = - 6 \div - 6[/tex]

[tex]x = 1[/tex]

Value of x is ~

[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]

[tex]\mathrm{✌ \: Kaul ~✌}[/tex]

How to find slope intercept form without a point.

Answers

y1-y2/x1-x2
Because you would be getting both those points and subtracting them y would be your numerator and x would be your denominator

Potential energy is described as

Question 1 options:

Stored energy


Decreasing energy


Movement


Friction

Answers

Answer:

Stored energy

Step-by-step explanation:

11 times 11 in binary . Help i need it today!

Answers

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

0b1111001. this is the answer in binary, i hope it helps :)

What is the slope of the line y=5-4x ?
Show your work

Answers

Answer:

-4

Step-by-step explanation:

The equation is in slope-intercept format, y=mx+b. The coefficient in front of the x is the slope as represented by the letter m.

Answer:

Slope = -4

Step-by-step explanation:

The slope can be identified by looking at the coefficient next to the variable, x. In this instance, the coefficient is -4. Therefore, the slope is -4.

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

-
Which equation represents a line which is parallel to the line 7y - 4x = -14?

Oy= 1x + 2
O y = x - 1
O y = -x + 6
Oy = -x - 3

Answers

it should be y=1x+2 but if it isn’t let me know and i’ll check my mistakes.

TRUE OR FALSE , When you divide the numerator of a fraction by the denominator you always get a terminating decimal?

Answers

Answer: false.

Step-by-step explanation:

it's only a terminating decimal if you end up with a remainder of 0.

HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.



Fill in the values to complete the table.


45 points!!! help me please

Answers

Just add them then divide
I need help with the same question

Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination

Answers

Answer:

12

Step-by-step explanation:

the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon

so here 180n-360=150n

30n=360

n=12

Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.

Answers

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Hope this helped!

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

Help.....Me...........PLEASE

Answers

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰


Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo

Answers

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

Which function represents a translation of the graph of v=x^2
by 10 units to the left?
O A. v=x^2+10
O B. v=(x+10)^2
O C. y=10x^2
O D, y=(x-10)^2

Answers

Answer:

B.

Step-by-step explanation:

That would be y = (x +10)^2.

How many sides does a regular polygon have if each interior angle measures 176^{\circ}

Answers

Answer:

90 sides

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

S = 180(n - 2), where S- sum of interior angles, n - number of sides

We have now:

176n = 180(n - 2)176n = 180n - 3604n = 360n = 90

It's equilateral polygon

Sum of interior angles=176n.

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

4^2+ 4^2=c

16+16=32

[tex]\sqrt{32}[/tex]

=5.65685424949

Someone plz help me :(

Answers

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

Other Questions
Researchers estimate that the percentage of time spent in social interaction with peers increases from approximately ______ percent at 2 years of age to more than ______ percent in middle to late childhood. A study was designed to investigate the effects of two variables--(1) a students level of mathematical anxiety and (2) teaching method--on a students achievement in a mathematics course. Students who had a low level of mathematical anxiety were taught using the traditional expository method. These students obtained a mean score of 450 with a standard deviation of 30 on a standardized test. The test scores follow a normal distribution. how do you subtract fractions with like numerators What is the slope of the function?O-6O 4O 4O 6 You are competing at a high school gymnastics meet. Your floor routine music beginsand you start running in a positive direction into a tumbling pass, starting from rest.At 2s, your velocity is 4.5m/s. Calculate your acceleration.Your Answer:Answerunits solve for x2/x -2 = 3/2x +3 ( 2 ) PLEASE HELPPP!!!Infer Based on the title of the film and the background information you read, what do you think is the focus of Saving Lincoln? Support your response with evidence from the text. H e l p this is confusing Please help! Giving 20 points! Question: How can NASA scientists use Newton's third law of motion to plan for a space vehicle landing on a meteor? Make a claim. Support your claim with evidence from the article. Then, explain why the evidence supports your claim.Article: https://newsela.com/read/lib-newton-third-law/id/54749/ Emily sees a ship traveling at a constant speed along a straight section of a river. She walks parallel to the riverbank at a uniform rate faster than the ship. She counts equal steps walking from the back of the ship to the front. Walking in the opposite direction, she counts steps of the same size from the front of the ship to the back. In terms of Emily's equal steps, what is the length of the ship what are foundations of any game systems that control what the players can or cannot do in the game, as well as the penalties, reward, and other consequences that result from the players actions?rulesfeedbacktasksalgotithms What is mode in math. how many solutions does 3x+9=25x+14 have? supportive, value-based, and work facilitation are examples of the ________ element in houses revised path-goal leadership model. Please help and only answer if correct! The prefix multi- is Latin for many. What is the definition of multimedia? A. doing several tasks at one time B. using many forms of expression C. using many types of paper D. taking many types of transportation Which statement best describes the role of gold in Ghanas wealth and power?Gold could be traded for salt, which was used to preserve food and maintain health.Salt could be mined and then traded for gold to make Ghanaian jewelry.Gold provided a form of currency that could be used to buy iron for weapons.Gold and salt were used to buy ships that could be used for trade across the Mediterranean.please help meee please A transformer is being built to triple the voltage produced. Which data are collected to investigate whether the transformer can achieve the goal? (1 point)A) the ratio of the number of turns in the primary and secondary coilsB) only the number of turns in the secondary coil and the magnetic field of the coreC) only the number of turns in the primary coil and the magnetic field of the coreD) the ratio of the number of turns in the primary and secondary coils and the magnetic field of the core Find the slope for the table.