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Evgen [1.6K]
3 years ago
8

Factor completely. 81-100x^2

Mathematics
2 answers:
Mandarinka [93]3 years ago
5 0

Answer:

(9-10x)(9+10x) (I think this is the answer but I'm not one hundred percent sure)

Step-by-step explanation:

First, you can recognize that both numbers (-100x^2 and 81) are a difference of squares, in which means that they both can be square routed. Then, plug in the square routes of the numbers into (9-10x)(9+10x). 9 is the square route of 81 and 10 is the square route of 100. Make sure that when you put the numbers in the parenthesis that there is one negative and positive number since a negative multiplied by a positive makes a negative, hence making 100 negative. I hope that helped.

rusak2 [61]3 years ago
4 0

Answer:

(9 + 10x)(9 - 10x)

Step-by-step explanation:

81-100x²

recall that 81 = 9² and 100 = 10²

hence,

81  -  100x²

= 9²  - 10²x²

= 9² - (10x)²

recall the algebraic property:

a² - b² = (a+b)(a-b)

applying this to our question,

9² - (10x)²

= (9 + 10x)(9 - 10x)

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Find the midpoint of the segment with the given endpoints.
Ksju [112]

The mid-point for given endpoints is (4,3)

Step-by-step explanation:

a mid-point is the point on a line segment that divides it into two equal portions.

If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

given

(x1,y1) = (9,9)

(x2,y2) = (-1,-3)

M = (\frac{9-1}{2}, \frac{9-3}{2})\\\\=(\frac{8}{2}, \frac{6}{2})\\\\=(4,3)

The mid-point for given endpoints is (4,3)

Keywords: Coordinate Geometry, Mid-point

Learn more about coordinate geometry at:

  • brainly.com/question/4639731
  • brainly.com/question/4655616

#LearnwithBrainly

5 0
3 years ago
What is 0.111 repeating as a fraction
Liono4ka [1.6K]
Answer: 1/9

Explanation: these types of repeating decimals are equivalent to the fraction that has the number doing the repeating in its numerator and the number 9 in its denominator.

Hope this helps!
7 0
2 years ago
The Parry Glitter Company recently loaned $300,000 to FIX 92, a local radio station. The radio station signed a noninterest-bear
melomori [17]

Answer:

The Parry Glitter Company

The Parry Glitter Company should record the Notes Receivable as $300,000.

It should also record the interest receivable per year as $24,000 and the advertising cost as $24,000 per year.  These bring into the accounting records the interest revenue and also the advertising expense, which eventually cancel each other.

Step-by-step explanation:

a) Data and Calculations:

Notes Receivable = $300,000

If the notes receivable are repaid at the end of 3 years and it is assumed that the interest on the notes receivable = 8%

Therefore, the cost of the free advertising will be equal to $24,000 ($300,000 * 8%), which is the cost of the interest to the radio station.

8 0
3 years ago
Put brackets in the calculation below to make it correct.<br><br> 15 - 4 x 2 + 1 = 3
bagirrra123 [75]
If you put brackets around (2+1), your method of working is: 
1) 15-4*(2+1)=3 
2) 15-4*3=3
3) 15-12=3
You don't need any more brackets, as the BIDMAS (brackets, Indices, division, multiplication, addition, subtraction) rule does the rest of the job for you. 
The answer is therefore: 15-4*(2+1)=3
3 0
2 years ago
Find three ordered pairs for x=9
MariettaO [177]
Three examples are (9, 1), (9, -5), and (9, 3.2).
8 0
3 years ago
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