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PSYCHO15rus [73]
3 years ago
9

Which shows 60^2 − 40^2 being evaluated using the difference of squares method?

Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0
D. The answer has to be 2,000, eliminating A and C. B doesn't even use the original equation, as well as incorrectly solving the method, so D is the correct answer, even if you don't understand the principles.
malfutka [58]3 years ago
4 0

Answer:

Option D - 60^2-40^2=(60+40)(60-40)=(100)(20)=2000

Step-by-step explanation:

Given : Expression  60^2-40^2

To find : Which shows expression being evaluated using the difference of squares method?

Solution :

The best method to find the difference of squares method is by using identity,

a^2-b^2=(a+b)(a-b)

According to question,

a=60 and b=40

60^2-40^2=(60+40)(60-40)

60^2-40^2=(100)(20)

60^2-40^2=2000

Therefore, Option D is correct.

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x = 1

Answer:

m\angle XVW = 100\degree

Step-by-step explanation:

In the first figure, FP is the bisector of \angle DFE

\therefore m\angle 1 = m\angle 2\\\therefore 44x + 1 = 46x - 1\\\therefore 1 + 1 = 46x - 44x\\\therefore 2 = 2x\\\therefore \frac{2}{2} = x \\\huge \red {\boxed {\therefore x = 1}}

In the second figure, VP is the bisector of \angle XVW

\therefore m\angle 1 = m\angle 2\\\therefore 12x + 2 = 11x +6\\\therefore 12x - 11x = 6 - 2\\\therefore x  = 4\\\because m\angle XVW = m\angle1 + m\angle 2\\\therefore m\angle XVW = 12x + 2 + 11x +6\\\therefore m\angle XVW = 23x + 8\\\therefore m\angle XVW = 23\times 4+ 8\\\therefore m\angle XVW = 92+ 8\\\huge \purple {\boxed {\therefore m\angle XVW = 100\degree}} \\

8 0
3 years ago
Amy was scheduled for 12 intervals this week. One her first interval, she had a technical issue that prevented her from working
ad-work [718]

Based on the total of intervals vs the number of intervals Amy attended her CA percentage is 75%

<h3>What is the CA percentage?</h3>

The CA percentage measures the commitment of an employee to be logged in during the intervals that were assigned to him/her to work.

In this way, the CA percentage is equal to 100% if the employee worked as scheduled. Moreover, this percentage can be affected by factors such as:

  • Technical issues.
  • Human errors.

In the case of Amy, there is a total of 12 intervals and it is known:

  • She had a technical issue that prevented her from working, but this was reported so it is unlikely this is considered in her CA.
  • She missed three intervals because she looked at her schedule wrong.

Based on this information, let's calculate her CA:

  • 12 intervals = 100%
  • 9 intervals =  x

  • x = 9 x 100 / 12
  • x = 900 / 12
  • x = 75%

Learn more about percentage in: brainly.com/question/8011401

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2 years ago
What is the length of the longest side of an isosceles triangle with leg lengths 2x+12 and 5x-9 and base length 6x-2?
Fiesta28 [93]
Your longest length is going to be 40

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2 years ago
Help please i don’t know how to do it
Norma-Jean [14]

Answer:

Step-by-step explanation:

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From the initial condition,

\ln|3-1|=\frac{0^{3}}{3}+C\\\ln 2=C

So we have that \ln |y-1|=\frac{x^{3}}{3}+\ln 2\\e^{\frac{x^{3}}{3}+\ln 2}=y-1\\2e^{\frac{x^{3}}{3}}=y-1\\y=2e^{\frac{x^{3}}{3}}+1

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2 years ago
What are the next two numbers in this pattern? 3, â9, 27, â81, . . ?
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