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expeople1 [14]
3 years ago
8

9x+3x-10=3(3x+x)? Identity or no solution show steps

Mathematics
2 answers:
Anarel [89]3 years ago
7 0

Answer:

no solution

Step-by-step explanation:

9x+3x-10=3(3x+x)

Distribute

9x+3x-10=9x+3x

Combine like terms

12x-10 = 12x

Subtract 12x from each side

12x-10-12x = 12x-12x

-10 =0

This is never true so there are no solutions

Lubov Fominskaja [6]3 years ago
4 0

Answer:

There is no solution

Step-by-step explanation:

NO SOLUTION

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There are 3 islands A,B,C. Island B is east of island A, 8 miles away. Island C is northeast of A, 5 miles away and northwest of
Nostrana [21]

Answer:

The bearing needed to navigate from island B to island C is approximately 38.213º.

Step-by-step explanation:

The geometrical diagram representing the statement is introduced below as attachment, and from Trigonometry we determine that bearing needed to navigate from island B to C by the Cosine Law:

AC^{2} = AB^{2}+BC^{2}-2\cdot AB\cdot BC\cdot \cos \theta (1)

Where:

AC - The distance from A to C, measured in miles.

AB - The distance from A to B, measured in miles.

BC - The distance from B to C, measured in miles.

\theta - Bearing from island B to island C, measured in sexagesimal degrees.

Then, we clear the bearing angle within the equation:

AC^{2}-AB^{2}-BC^{2}=-2\cdot AB\cdot BC\cdot \cos \theta

\cos \theta = \frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC}

\theta = \cos^{-1}\left(\frac{BC^{2}+AB^{2}-AC^{2}}{2\cdot AB\cdot BC} \right) (2)

If we know that BC = 7\,mi, AB = 8\,mi, AC = 5\,mi, then the bearing from island B to island C:

\theta = \cos^{-1}\left[\frac{(7\mi)^{2}+(8\,mi)^{2}-(5\,mi)^{2}}{2\cdot (8\,mi)\cdot (7\,mi)} \right]

\theta \approx 38.213^{\circ}

The bearing needed to navigate from island B to island C is approximately 38.213º.

8 0
3 years ago
What is a radius in geometry, and what are some examples of it?
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A radius is a straight line from the centre to the edge of a circle. i’m not sure about any examples sorry :/
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