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zavuch27 [327]
3 years ago
7

Find the distance between the points:

Mathematics
1 answer:
lesantik [10]3 years ago
6 0
To calculate distance between two points we use the distance formula sqrt((x2−x1)^2+(y2−y1)^2).  

To start, we find the square of the distance between x1 and x2 and y1 and y2.  The distance between x1 and x2, or 1 and 3, is 2. The distance between y1 and y2, or 3 and -4, is 7.

Now we square 2 and 7 and add them together to get 4 + 49 = 53.

The last thing we do to find the distance is take the square root of 53. 53 is not a perfect square and is also a prime number so our answer in simplest form is still sqrt53.<span />
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Which of these number(s) below are potential roots of the function p(x)=x^4+22x^2-16x-12
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There's no list so we'll generate our own. Technically we're after zeros of p(x), which are the roots of p(x)=0.


The rational zeros are always fractions with a factor of the constant in the numerator and of the leading term in the denominator. Here we have a monic polynomial, leading coefficient 1, so the rational roots are all integers, factors of -12.


The potential rational zeros are: -12, -6, -3, -2, -1, 1, 2, 3, 6, 12



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Which t-chart represents the absolute value equation y = |5x|?
Crank
<h3>Answer: Choice C</h3>

=============================================

Explanation:

Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.

-------------

Another way to see this is by plugging in each x value to see what y value comes out.

  • If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
  • If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
  • If x = 0, then y = |5*x| = |5*0| = |0| = 0
  • If x = 1, then y = |5*x| = |5*1| = |5| = 5
  • If x = 2, then y = |5*x| = |5*2| = |10| = 10

The y outputs from top to bottom are: 10, 5, 0, 5, 10

This matches with what choice C shows.

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4 years ago
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