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3 years ago

What is the y-intercept?

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Answer:

(0, 9)

Step-by-step explanation:

The y-intercept is the point when x = 0. By looking at the graph, when x = 0, y = 9. Therefore, the y-intercept of the line is (0, 9).

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Can someone pls help me i don’t get this

Novosadov [1.4K]

V = 60 as the triangle is looking like a equilateral triangle

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3 years ago

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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.

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3 years ago

Fully explain why an inefficient resource allocation leads an economy to produce at a point inside its production possibilities

Stella [2.4K]

Production possibilities frontier, PPF, is defined as a representation of the point at which a country’s economy is most efficiently producing its goods and services. Efficient production means allocating its resources in the best way possible.
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The points in the PPF shifts outward. The more efficient production is the more the PPF shifts outward. With this in mind, any point found inside the PPF means that there is inefficient resource allocation. If the PPF shifts inward, it means that the efficiency production is regressing and available resources are not fully used to its potential which will lead to a downward turn of the economy.

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3 years ago

If you are told to calculate simple interest, and you are told to calculate the interest for 6 months, what would you need to do

Sophie [7]

Answer:

number of periods per year m, times the number of periods n: simple interest amount = principal amount × (rate / m) × n.

Step-by-step explanation:

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3 years ago

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Any help on this please ?

dlinn [17]