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3 years ago

Question:

Mathematics

2 answers:

EastWind [94]3 years ago

5 0

Answer:

add the equations together

Step-by-step explanation:

4 ways of solving one-step equations: Adding, Substracting, multiplication and division.

Lana71 [14]3 years ago

4 0

I think is the first option because your adding the equation toghter

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Y = 2(x – 4)– 6<br> Vertex:<br> y-intercept: _

serious [3.7K]

Answer:

vertex: (4,-6), y= -14

Step-by-step explanation:

vertex can be derived from this formula

(4, -6)

to find y intercept you need to set x=0

y=2(0-4)-6

=-8-6

y= -14

4 0

3 years ago

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

Ryo accidentally ordered 240% as many eggs as his restaurant needed. What fraction of the number of eggs his restaurant needs di

Anarel [89]

Answer:

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

Step-by-step explanation:

Let's call z the number of eggs the restaurant needs

Ryo ordered 240% of the eggs he needed. Then Ryo ordered:

$\frac{240}{100}$ z.

This fraction can be simplified by dividing by 10 in the numerator and denominator.

Then it is:

$\frac{24}{10}$

It can be further simplified by dividing by 2 in the numerator and denominator:

$\frac{12}{5}$ z

Ryo ordered $\frac{12}{5}$ of the amount of eggs his restaurant needed

6 0

3 years ago

A music store buys instruments and then sells them for 30% more than they paid.

seropon [69]

Answer:135.2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Sal is making bracelets for a fundraiser he uses 6 inches of yarn per bracelet how many bracelets can sal make with 5 feet of ya

4vir4ik [10]

Answer:

Step-by-step explanation:

12×5 = 60 in of yarn

60÷6 =10 bracelets

7 0

2 years ago