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erastova [34]
2 years ago
6

87 POINTS PLZ HELP Aman is adding –17 + 9. He wants to write –17 as the sum of two numbers so that one of the numbers, when adde

d to 9, will equal 0. How should Aman write –17 to complete this problem?
Mathematics
1 answer:
Pie2 years ago
5 0

Consider number 17. You know that

17=9+8.

Then for negative numbers you have the same rule (with respect to sign -):

-17=(-9)+(-8).

Since (-9)+9=9+(-9)=9-9=0, you have that

-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.

Answer: -17=(-9)+(-8).

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Graph the line with slope 3/2 and y intercept -6
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Answer:

y = 3 \div 2x - 6

Step-by-step explanation:

You do this by placing the graph on -6, then you go up 3/2.

4 0
2 years ago
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PLZ HELP!
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Discussion:

For every value of x, g(x) = f(x) -1 meaning that the y-value of g(x)  is 1 less than the corresponding y value of f(x). So the graph of g(x) is "below"  f(x) or it is translated 1 unit downward from f(x)


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3 years ago
Which equation could represent Relationship A?
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8 0
2 years ago
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Can someone help me
erik [133]

Answer:

   6 < x < 23.206

Step-by-step explanation:

To properly answer this question, we need to make the assumption that angle DAC is non-negative and that angle BCA is acute.

The maximum value of the angle DAC can be shown to occur when points B, C, and D are on a circle centered at A*. When that is the case, the sine of half of angle DAC is equal to 16/22 times the sine of half of angle BAC. That is, ...

  (2x -12)/2 = arcsin(16/22×sin(24°))

  x ≈ 23.206°

Of course, the minimum value of angle DAC is 0°, so the minimum value of x is ...

  2x -12 = 0

  x -6 = 0 . . . . . divide by 2

  x = 6 . . . . . . . add 6

Then the range of values of x will be ...

  6 < x < 23.206

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* One way to do this is to make use of the law of cosines:

  22² = AB² + AC² -2·AB·AC·cos(48°)

  16² = AD² + AC² -2·AD·AC·cos(2x-12)

The trick is to maximize x while satisfying the constraints that all of the lengths are positive. This will happen when AB=AC=AD, in which case the equations be come ...

  22² = 2·AB²·(1-cos(48°))

  16² = 2·AB²·(1 -cos(2x-12))

The value of AB drops out of the ratio of these equations, and the result for x is as above.

4 0
2 years ago
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ser-zykov [4K]

Answer: For the first one, 12.5% chance

Step-by-step explanation:

The probability of flipping a coin and getting tails is 50%. Then, if you were to flip two coins and get both tails, you would have to divide the 50% by 2, which is equals to 25% of flipping two coins and getting them both tails.

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Flipping one coin gives you 50% tails and 25% of flipping two coins and getting two tails

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I’m not exactly sure about the other ones but I hope you found this one helpful!

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