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Fudgin [204]
3 years ago
15

Find the distance between the points (3,-5) and (3,-2).

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

3 units

Step-by-step explanation:

Distance between two points (x1,y1) and (x2,y2) on coordinate plane is given by

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }

Given points in the problem are (3,-5)  and (3,-2).

Thus distance between points (3,-5)  and (3,-2).

distance = \sqrt{(x1-x2)^2 +(y1-y2)^2  }\\=>distance = \sqrt{(3-3)^2 +(-5-(-2))^2  }\\=>distance = \sqrt{(0)^2 +(-5+2)^2  }\\\\=>distance = \sqrt{0 +(-3)^2  }\\\\=>distance = \sqrt{9  }\\=>distance = 3

Distance between points (3,-5)  and (3,-2) is 3 units

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Find a12 given the geometric sequence 4, 8, 16, 32, ...
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The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

<h3>How to find a determined element of a geometric sequence by exponential formulae</h3>

Sequences are series of elements generated according to at least one condition, usually equations. <em>geometric</em> sequences are generated according to a <em>exponential</em> formulas, whose form and characteristics are described below:

f(n) = a · bⁿ ⁻ ¹    (1)

Where:

  • a - First element of geometric sequence
  • b - Common ratio of the geometric sequence
  • n - Element index within the geometric sequence

If we know that a = 4, b = 2 and n = 12, then the twelfth element of the geometric sequence from the statement is:

f(12) = 4 · 2¹² ⁻ ¹

f(12) = 4 · 2¹¹

f(12) = 4 · 2,048

f(12) = 4,096

The <em>twelfth</em> element of the <em>geometric</em> sequence is equal to 4,096. (Correct choice: D)

To learn more on geometric sequences: brainly.com/question/4617980

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6 0
2 years ago
Describe the term linear pair, and give an example from the diagram.
Burka [1]

Answer/Step-by-step explanation:

A linear pair is formed when two straight lines intersect to form two angles that are adjacent to each other and are on a straight line. The sum of both adjacent angles equals 180°.

From the diagram given, examples of linear pair are:

<FEG and <GEN

<CDE and <ADC

These are some of the few examples we can see in the given diagram that are linear pairs.

6 0
3 years ago
Enrique has to pay 80% of a $200 phone bill. Explain how to use equivalent ratios to find 80% of $200.
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80/100*200=80*200/100=160 $
8 0
3 years ago
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Answer: No, they are not collinear.

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5x + 7 &lt; -3 or 3x - 4 &gt; 11
rodikova [14]

Answer:

x < -2; x > 5          

Step-by-step explanation:

5x + 7 < - 3                  3x - 4 > 11

     -7     -7                         +4   +4

    5x < - 10                        3x > 15

    / 5     /5                          /3     /3

      x < -2                             x > 5            

7 0
3 years ago
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