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3 years ago

What is the range of possible sizes for x?

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

0.5 < x < 15.5

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval

8.5 - 8.0 < x < 8.5 + 8.0

0.5 < x < 15.5

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Norma-Jean [14]

Answer:

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Step-by-step explanation:

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3 years ago

Given the points P(2,-1) and Q(-9,-6), what are the coordinates of the point on directed line segment PQ that partitions PQ in t

gayaneshka [121]

ANSWER

$( - \frac{23}{5} , - 4)$

EXPLANATION

Given the points P(2,-1) and Q(-9,-6),the coordinates of the point that partition the directed line segment PQ in the ratio 3:2 is given by

$x = \frac{ mx_2+nx_1}{m + n}$

$y= \frac{ my_2+ny_1}{m + n}$

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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