Mathematics High School

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Factor the difference of squares.
x2 - 400
The factored form of x2 - 400 is

Answers

Answer 1

Answer:

The factored form of x²-400 is (x+20)(x-20).

Step-by-step explanation:

Given the expression

[tex]x^2\:-\:400[/tex]

As the square of 20 is 400. Therefore, rewrite 400 as 20²

⇒ [tex]x^2-20^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, the expression becomes

[tex]x^2-20^2=\left(x+20\right)\left(x-20\right)[/tex]

Thus, the factored form of x²-400 is (x+20)(x-20).

Related Questions

What is the mistake PLEASE HELP
3-(-2) -5
1 - 5
-4

Answers

Answer:

your answer would be 0

Step-by-step explanation:

3-(-2)-5

3+2-5

5-5

0

5(3m+n)?
What’s the answer? and please give me a step by step explanation I wanna understand it for the upcoming test!

Answers

Answer: 15m + 5n

Step-by-step explanation:

so, first off, we take the number outside of the parentheses and multiply it by everything that's inside of the parentheses.

(5)3m + 5(n)

then, we just multiply all of those together.

15m + 5n

The points (-4, 3) and (4, r) lie on a line with slope 1/2
Find the missing coordinate r.

Answers

Answer:

7

Step-by-step explanation:

8 units separate -4 and 4

8 divided by 2 (which is the x of slope) is four

Four times 1 (which is y of slope) equals four

3+4 equals seven

(4,7)

a frame for mrs. nunez's class picture has an area of 93.5 square inches. the length of the frame measures 8 1/2 inches. what must be the width of the frame?

Answers

Answer:

Step-by-step explanation:

length times width = area

so you have 8.5w=93.5

divide 8.5 on both sides to get your answer

w= 11

so your width must be 11 inches

Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once and flips the coin once, which list contains only the outcomes in which the number cube land on a number greater than 3?

Answers

Answer:

[tex]Outcome = \{4H,4T\}[/tex]

Step-by-step explanation:

Given

A roll of cube numbered 1 - 4

A flip of coin

Required

Determine the possible outcomes for a number greater than 3

First, we list the sample space of the coin:

[tex]Sample\ Space = \{1,2,3,4\}[/tex]

Next, we list outcomes greater than 3

[tex]S = \{3\}[/tex]

Next, we list out the sample space (C) of a flip of coin:

[tex]C = \{H,T\}[/tex]

Where

[tex]H = Head\\T = Tail[/tex]

So, the possible outcome for a number greater than 3 is:

[tex]Outcome = \{4\} + \{H,T\}[/tex]

[tex]Outcome = \{4H,4T\}[/tex]

Which expression in scientific notation is equivalent to (6×10^4)(3×10^5)

A 1.8×10^10
B 1.8×10^20
C 9×10^9
D 9×10^20

Answers

Answer: A) 1.8*10^10

Step-by-step explanation:

Multiply the constants together, and multiply the multiples of 10 together.

6*3 = 18

10^4 * 10^5 = 10^9

which gives you 18 * 10^9, but that isn't in scientific notation, because 18 isn't a number between 1 and 10

so you get 18 * 10 ^9

which is equal to 1.8*10^10

Hope this helps!

Answer:

A

Step-by-step explanation:

Find the slope of the line that contains these ordered pairs. (10, 8) and (-5, 8)

Answers

Answer:

0/15 = 0

Step-by-step explanation:

Use the formula: y2-y1 over x2-x1.

Hope this helps! :-)

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!

Answers

[tex]distance = | \frac{2 - ( - 1)}{ \sqrt{ { (\frac{ - 1}{4} )}^{2} + {( - 1)}^{2} }} | \\ = \frac{1 2\sqrt{17} }{17} \\ = 2.9[/tex]

help me plzzzzzz PLZZZZZZZZ

Answers

Answer:

The answer would be B- 6s+48=258

Step-by-step explanation:

This is because she earns 6 points each time she goes so it would be 6*s, and she already has 48 points so thats where the +48 comes from

:)

Answer:

6s + 48 = 258

Step-by-step explanation:

6 points = every time shoppings = number of times Anita will have to shop6s = remaining points needed48 points = points earned so far258 = total needed pointsPut them together: 6s + 48 = 258

I hope this helps!

solve for both x and y in the following diagram , i’m confused

Answers

Answer:

HII

Step-by-step explanation:

X= 40

Bananas are curved because they grow towards the sun ☀️

Answers

it would be

14,494.2 - 282.6 = 14211.6

Answer:

14776.8

Step-by-step explanation:

Yeahh its that because its the difference and the elevation for the death valley is below sea level so if you do

x-(-y) you essentially get x+y so therefore you add the two numbers and your good (x stands for that mountain and y is for the death valley

Kevin has five less than twice the number of baseball caps Steph has. If Kevin has 13 baseball caps, how many baseball caps does Steph have?

Answers

Answer:

21

Step-by-step explanation:

13x2=26-5=21 so thats how I got the answer

What is the common ratio between successive terms in the sequence 2,-4,-16,32,-64 .....

Answers

The answer is —2
Each number is multiplied by —2 to get the following number in the pattern

Hope this helps and good luck you can do thissss :)

a^5b^3/a^3 = b^11


Help

Answers

Answer:

what are you trying to solve?

you ok need to be like mmm you eabgshdhsjdjidjd

Can someone check if I did this right

Answers

yea this looks correct :)

For f(x)= 2x-15 ,find f(x) when x=-4


I just need some help on this question.

Answers

2(-4)-15=-8-15=-23 so f(x)=-23

Help me please
Hurry!!!!!

Answers

The cloud you donut, becasue if you reflect it it won be symmetrical

Which expression is equal to 8?
A. 25-22
B. 25.22
C. 8-3.82
D. 83.82

Answers

Answer:

D I guess is the answer for the question

What equation do you use to find the principle (like interest principle time and rate)

Answers

Answer:

Use this simple interest calculator to find A, the Final Investment Value, using the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.

Step-by-step explanation:

PRINCIPLE= (100* interest)/(rate*time)
Therefore, PRINCIPLE (p)=$2000

the shapes below are mathematically simillar ​

Answers

Answer:

6

Step-by-step explanation:

Plsssss helpppp meeeee!!!

Answers

Your answer to the question is b I’m pretty sure. I hope it helps:)!

In the number 11.278, the 7 is located in the _____ place. tenths thousandths hundredths ones
PLEASE HURRY
BRAiNLIST

Answers

It is located in the hundredths place

An organized collection of best works is called a ________.

Sketch pad

Gateway notebook

Journal

Portfolio

Answers

The last choice, portfolio.

what two numbers add up to be 116.5

Answers

Answer:

58.25

Step-by-step explanation:

116.5 / 2

= 58.25

Hope this helps!!

58.25+58.25

Those are the two numbers that add up to that number (116.5)

Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.

(｡ŏ﹏ŏ)

Miri

(11y + 19) °
8x °
96 °

Answers

Answer:

lol 96

Step-by-step explanation:

Isaiah bought a total of 22 pieces of candy. The tootsie rolls cost 3 cents each and
the jolly ranchers cost 5 cents each. If Isaiah spent a total of 90 cents, how many
JOLLY RANCHERS were purchased?
A) 11
B)8
C) 10
O 12
07

Answers

i think the anwser should be 12

Austin correctly answered 80% of the questions on the geography quiz. Liz answered 42 of the 50 questions correctly. compare their scores

Answers

Answer:

Liz got a higher score than Austin.

Step-by-step explanation:

Since 42 divided by 50 is 82, as a percentage is then 82%. Austin has a 80% which most likely means, if on the same quiz, that he got a 40 out of 50.

How many of you guys are wearing "Into The Night" by Bath & Body Works right now?​

Answers

not me in wearing toasted coconut snowball
10/10

Answer:

I am *oop*

Step-by-step explanation:

What are the slope and the y-intercept of the linear function that is represented by y=9x-2 . PLEASE HURRY!

Answers

The slope is 9 and the intercept is -2

Answer:

The correct answer is c.

the slope is 9

y intercept is -2

Step-by-step explanation:

When you right the equation it is in slope intercept form in which m and y are whole numbers

5x10^5+2x10^4+8x10^2

Answers

Answer:

52800

Step-by-step explanation:

Answer:

520800

Step-by-step explanation:

ive done this on.

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