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

2.
Identify the axis of symmetry of the parabola.
A. x= 3
B. x= 6
C. x= 5
D. x= 4

Answers

Answer:

x=4

Step-by-step explanation:

The imaginary line that divides it goes through 4 on the x axis

Answer:

A. x= 3

Step-by-step explanation:

There is a line that includes the point (-20, -7) and has a slope of 1. What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=1x+13

Step-by-step explanation:

we can plug in the two points into the slope-intercept formula

-7=-20(1)+b

solve for the right side

-7=-20+b

add 20 to both sides

13=b

plug the y intercept into the equation

y=1x+13

2 1/7:(15a)=5/14:(0.8)

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Fill in the missing information in the chart.

Answers

Answer:

Point Slope equations:  

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]

Slopes:  

3-95

Points on the line:

(5,6)(-8,4)(0,2)

Step-by-step explanation:

Basically we use this formula to solve each column [tex]y-y_{1} =m(x-x_{1})[/tex]

m = slope

[tex]y-4 =-10(x-1)\\y+3 =2(x-5)\\y+7 =\frac{1}{2}(x+7)[/tex]


What is the answer

Answers

Answer:

It's a im taking the same test lol

Step-by-step explanation:

Aaron earned $57.35 selling some of his old video games. He bought another video game for $46.29. How much money, x, does Aaron have left?

Answers

Answer:

Aaron has $11.06 left over

A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?

(Please give me a variable and do it like this attachment photo shows!)

Answers

3

Step-by-step explanation:

30÷10 to know how many each person has.God loves you

A recipe for 15 bran muffins calls for 1 cup of flour. The muffins that can be made varies directly with the amount of flour used. There are 1 1/3 cups of flour available. How many muffins can be made?

Answers

Answer: 35 bran muffins can be made with 2 1/3 cups of flour.

leave a thanks if helped pls <3

what is the difrence between domain and range

Answers

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

can you HELP PLZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give 50

Answers

The product of 3542 and 8 using the partial product is 28,336

To create a partial product of the value using an array, we will follow the following steps

Draw an array or a box

Break the given integers into values that can be easily worked with. For instance, 3542 can be broken down into (3000+500+40+2)

Take the product as shown below;

[tex]3542\times8=(3000+500+40+2)\times 8\\3542\times8 = 3000(8) + 500(8) + 40(8) +2(8)\\3542\times8=24000+4000+320+16\\3542\times8=28000+336\\3542\times8=28,336[/tex]

Find the array box attached

Learn more on the partial product using array here: https://brainly.com/question/11612565

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?

Answers

Answer:

I think it might be d because it is the only one with 4x and 10

write 5 3/5 improper fraction

Answers

Answer:

28/5 is the answer.

Step-by-step explanation:

Multiply the denominator by the whole number

5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

Which quadratic function shows a y-intercept of 4 and a maximum value of 5

Answers

Answer:

The 4th graph

Step-by-step explanation:

To have a maximum value, your parabola would have to open downwards. So the first 2 are wrong. Since your y-intercept is positive 4, your graph would have to touch the y axis at 4. The 3rd graph is wrong since it touches the y-axis at a negative point. The correct answer would be the 4th answer choice.

A pot contains 3 1/3 cups of oatmeal.
How many 3/5 cup servings is this? How much will be left

Answers

Answer:

2 11/15

Step-by-step explanation:

Hope this helps please mark brainliest if I helped! Thanks

what is sin 45 degrees

Answers

Answer:

45 degree is an acute Angle

Step-by-step explanation:

Please mark as brain list

y=2x-7
y=3x
can someone help solve for x and y

Answers

Put 3x in for y, so the equation will be 3x=2x-7. Then solve. once you find “x”, plug it back into one of the original equations. And then you have x and y

You are given right triangle that has a perimeter of 42.56m, a hypotenuse of 21.34m and a base length of 8.76m. Find the area of the right triangle.

Answers

Answer:

buuuuuuuuuuut butt

Step-by-step explanation:

COS Find the quotient when the polynomial expression is divided by a binomial Find the quotient ANSWER SOLUTION CHOICES X2+11x+ 10) = (x+1) = Long Division Synthetic Division Answer: X2 + 5x + 1​

Answers

Answer:

x=−1 or x=−9

Step-by-step explanation:

x2+11x+10=x+1

Step 1: Subtract x+1 from both sides.

x2+11x+10−(x+1)=x+1−(x+1)

x2+10x+9=0

Step 2: Factor left side of equation.

(x+1)(x+9)=0

Step 3: Set factors equal to 0.

x+1=0 or x+9=0

x=−1 or x=−9

six times the difference of a number and three is -42 (write and equation and solve)

Answers

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

HELP! ILL TIVE BRAINLIST IF RIGHT!! Joe earns a percentage of his monthly sales. If his commission rate stays the same each month, how much does he need to sell in March to earn $200 more than he did in February? (Picture below)

$3000
$76
$3800
$900

Answers

Answer:

$3800

Step-by-step explanation:

If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800

In a group of students, 50% like tea, 70% like coffee, 10% don't like both and 120 like both. By using Venn diagram, find the total number of students.​

Answers

Answer:

Since 10% like neither, then 90% must like tea(T), coffee(C) or both(B). So what % like both? That % would have to be deducted from both the tea and coffee likers to arrive at tea only (TO), coffee only (CO) and those liking both and the three would have to sum to 90%, since 10% like neither. So whatever % the 120 represents it must be deducted from both the tea and coffee likers. I don’t know how to add graphics but in equation form

50-x + 70-x + x + 10 = 100, 130-x = 100, -x = -30, X = 30%,

120/30% = 400, 50%(T)-30%(B)=20%(TO) or 80, 70%-30%=40% or 160, 30% or 120, and 10% or 40

80+160+120+40=400

Answer:

Step-by-step explanation:

  50%        70%                 10%

like tea    like coffee      don't like both

100%-10% =90%

                   like coffee,tea or both

   50%  +   70%         =120%  -   90%   =   30%

like tea + like coffee  =          -           =    like both

LIKE BOTH           30%=`120

means 1%=4

100%=400

what is the decimal of 967.567

Answers

Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

I'll give brainliest and extra points if someone helps me with all the questions!!

Answers

Answer:

2x-y=0

Step-by-step explanation:

By using two points form:

[tex]\frac{y-y_{1} }{y_{2}-y_{1} }[/tex]=[tex]\frac{x-x_{1} }{x_{2}-x_{1} }[/tex]

x1=-1 , x2=2 , y1=-2 ,y2=4

Substitute the values in the formula above:

[tex]\frac{y+2}{4+2}[/tex]=[tex]\frac{x+1}{2+1}[/tex]

[tex]\frac{y+2}{6}[/tex]=[tex]\frac{x+1}{3}[/tex]

2(x+1)=y+2

2x+2=y+2

2x-y=0

If you need to ask any questions, please let me know.

Which expression shows the distance on the number line between −7 and 16?

∣∣−7+16∣∣

∣∣−7−16∣∣

∣∣−16−(−7)∣∣

∣∣7−16∣∣

Answers

The expression will be d

Answer:

c

Step-by-step explanation:

Hope this helps

Brainliest pls

Have a great day!

In the equation log10? = 5, the value that could replace the "?" is​

Answers

Answer: 10000

The correct answer is 10000.

A line contains the point 4,5 slope of -2 what point is also on the line.

Answers

Answer:

Step-by-step explanation:

First solve the equation for the line: Use the Point Slope form of a line: (y−y1)=m(x−x1). (y−5)=23(x−(−4).

Four-Fifths of p added to the product of 6 and h as a expression

Answers

Answer:

4p/5 + 6h

Step-by-step explanation:

this is the answer

What is cos(3π)? 1 0 –1 –2
whoever answers this is literally my hero

Answers

[tex]\cos 3\pi = \cos \pi =-1[/tex]

Answer:

It's C

Step-by-step explanation:

-64/8 do i divide ? what do i do

Answers

Answer:

-8

Step-by-step explanation:

-64/8 = -8................ .......

mark me brainliest plz if you are helped

Answer:

so you divide -64/8 like you would 64/8 and once you get your answer you just put a negative in front because a negative divided by a positive is a negative so your answer is -8

Step-by-step explanation:

Pls help me i dont really understand

Answers

Answer:

y - 5

12x + 18y

Step-by-step explanation:

6) five less than y

y - 5

7) six times the quantity of two x plus 3 y

2x + 3y

six times the above exp

6(2x + 3y)

= 12x + 18y

Other Questions
Which is a better deal (assuming you like yoga and plan to go often)? Group of answer choices One yoga class for $14 A ten-class pack for $135 A 20-class yoga package for $260 find the radius of a circle with an area of 100 in^2I will give brainliest and 25 points! Which of the questions below should be asked when developing a thesis statement? Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel? -4 1/2 + 2 3/4Guys help me Im having trouble on this EEEEEEEEEE state governments use to compete with other states and countries to locate businesses in their areas. Select ALL of the equations that are true.(Select all that apply.) 16 = 3.831619===2.8. 13 = 0.7.52 what is the difference between hazard insurance and homeowners insurance Naomi has earned $81 mowing lawns the past two days. She worked 3 12 hours yesterday and 3 14 hours today. If Naomi is paid the same amount for every hour she works, how much does she earn per hour to mow lawns? What is the true point of SAT, other than adding additional stress to high school students? If there is, what is it? Explain if so. If there isn't, well I guess best of luck to you. what as 9 squared? i need this with a diameter of 9 cmUse their work to answerquestions 1-2A-3.14A-254.341 Describe Ben's mistake in solving for thearea of the circle. Whats 28,561 in expanded form if the sum of two numbers is 15 and their difference is 7 what is the answer I hate math sm I cant understand any of this even though its probably so simply which of the following statements must be true based on the diagram below? Select all that apply.PLEASE HELP. WILL GIVE BRAINLIEST. Roberto Sanchez, CFA, and Andreas Lopez, CFA, worked as financial analysts for OneWorld Analytics for years. While at OneWorld, Lopez created a highly complex financial valuation model with Sanchez making small contributions to its development. Recently, Lopez left OneWorld to start his own company using a simplified model he developed prior to joining OneWorld. Over a six-month period, he improves this software, duplicating features he used at OneWorld. His upgraded program produces predictions similar to the results of the OneWorld program. At OneWorld, Sanchez continues to use the complex model he and Lopez developed and attains superior results. Whose behavior most likely conforms to the CFA Institute Standards of Professional Conduct?a. Lopez but not Sanchezb. Sanchez but not Lopezc. Both Lopez and Sanchez So I know this isnt the kind of app to vent too but Im not sure on what I could do anymore since school is stressful and my whole family thinks Ive dropped out even though Im transferring to online school. My parents are busy with there own problems with there familys and I live with my grandparents. Please any suggestions could help if angle d is 15 what is angle CED? Write the equation of a line that is parallel to the line y=4x+1 and goes through the point (2,0).