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vampirchik [111]
3 years ago
11

What type of factoring is this? x^2-25 Step by step :)

Mathematics
2 answers:
Rufina [12.5K]3 years ago
5 0
<h3>To Find :</h3>
  • we need to factorize x² - 25

<h3>Solution :</h3>

x² - 25 can be written as x² - (5)²

›› x² - (5)²

By using identity a² - b² = (a + b)(a - b)

›› (x + 5)(x - 5)

Scilla [17]3 years ago
3 0

Answer:

Take the square root of 25 to factor this equation out.

The equation will look like this:

x^{2} -5^{2}         (this is the a^{2} -b^{2} = (a-b)(a+b) property)

= (x-5)(x+5)

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Solve the system of equations. \begin{aligned} &amp; -10x+3y = 5 \\\\ &amp; x=y-4 \end{aligned} ​ −10x+3y=5 x=y−4 ​
Ksenya-84 [330]

Answer:

x = 1

y = 5

Step-by-step explanation:

You can use either substitution or elimination for this problem. I will use substitution.

Step 1: Replace x in the 1st equation

-10(y-4) + 3y = 5

-10y + 40 + 3y = 5

-7y = -35

y = 5

Step 2: Plug <em>y </em>into an original equation to find <em>x</em>

x = 5 - 4

x = 1

And you have your final answers!

7 0
3 years ago
a bicycle has a listed price of $821.95 before tax. if the sales tax rate is 6.5%, find the total cost of the bicycle with sales
BlackZzzverrR [31]

Answer:

$875.39

Step-by-step explanation:

1) Divide the tax rate (6.500%) by 100 to get a decimal rate of 0.06500.

2) Multiply the purchase price ($821.95) by the 0.06500 to get a sales tax amount of $53.43.

3) Add the $53.43 sales tax to the $821.95 price to get a total of $875.38.

4) Round $875.38

3 0
3 years ago
The world record for most drum beats per minute is 2,109 beats. How many beats would that be in 3 minutes?
IrinaVladis [17]

Answer:

6327

Step-by-step explanation:

2109 bpm. you want to know how many times in  minutes

Well all you do is 2109*3=6327

4 0
3 years ago
What are the first five terms of an arithmetic sequence if a 17 = ‒40 and a 28 = ‒73? A. 8, 11, 14, 17, 20 B. 8, 5, 2, ‒1, ‒4 C.
Allisa [31]
The common difference
(-73 - -40)/(28 - 17) = -3
Term a1: -40 - (-3*(17-1)) = 8
Term a2: 8+-3=5
Term a3: 2
Term a4: -1
Term a5: -4
3 0
3 years ago
7 x 28<br> = 7(20 + 8<br> = (7 x 20)+(7<br> = 140 + 56<br> = 196
adell [148]

Answer:B

Step-by-step explanation:

5 0
3 years ago
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