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Lady bird [3.3K]
4 years ago
11

5. Determine the length of the segment with the given endpoints: Y(-2, 6) and Z(5,-8).

Mathematics
1 answer:
Oxana [17]4 years ago
3 0

Answer:

The length of the segment is 15.65.

Step-by-step explanation:

The Distance Formula for a line is \sqrt{(x2 - x1)^{2}  + (y2 - y1)^{2} }

To find the distance of a segment or line, we just plug in our coordinates.

\sqrt{(5 - -2)^{2}  + (-8 - 6)^{2} } | Now we solve.

\sqrt{7^{2}  + -14^{2} }

\sqrt{49 + 196}

\sqrt{245}

15.65

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Answer:

The elevator stops on the 19th floor.

Step-by-step explanation:

On the 16th floor, goes up 12 floors:

16 + 12 = 28

On the 28th floor, goes down 7 floors:

28 - 7 = 21

On the 21st floor, does up 3 floors:

21 + 3 = 24

On the 24th floor, goes down 5 floors:

24 - 5 = 19

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110°

Step-by-step explanation:

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Triangle ABC is a right triangle. The length of one leg is 30 cm and the hypotenuse is 78 cm. What is the length of the other le
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4 0
3 years ago
Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-9x=36
natita [175]

Answer:

x = 12 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 9 x = 36

Subtract 36 from both sides:

x^2 - 9 x - 36 = 0

x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:

x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2

sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:

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(9 - 15)/2 = -6/2 = -3:

Answer:  x = 12 or x = -3

4 0
3 years ago
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