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

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:

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

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]

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

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

-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:

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

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).

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

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!

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]

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.

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:


What is the answer

Answers

Answer:

It's a im taking the same test lol

Step-by-step explanation:

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

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:

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

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

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

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

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.

what is sin 45 degrees

Answers

Answer:

45 degree is an acute Angle

Step-by-step explanation:

Please mark as brain list

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.

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

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:

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

Answers

Answer: 10000

The correct answer is 10000.

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

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

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