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VashaNatasha [74]
3 years ago
9

Is (0,8) a solution to the following system of inequalities:

Mathematics
1 answer:
Westkost [7]3 years ago
4 0
Answer: no





Explanations:
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What is the point slop form of a line with slope 3 that contains the point (2,1)
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Equation in point slope form is written as:

y = mx + c, where m is the slope of the line and c is the y-intercept

To determine the equation when slope is given and (x,y) coordinates are given, use the below formula:

(y - y₁) = m × (x - x₁) .................. (i)

We have been given that m = 3, x₁ = 2 and y₁ = 1)

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(y - 1) = 3 × (x-2)

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So the required equation is y = 3x -5, here 3 is the slope and -5 is the y-intercept


6 0
4 years ago
A plane has an airspeed of 134 km divided by h. It is flying on a bearing of 78 degrees while there is a 21 km divided by h wind
ANEK [815]

Answer:

Ground speed = 131.25 km/h

Bearing = 92.68º

Step-by-step explanation:

If we imagine a triangle to depict the question with one side 134 km/h at an angle of 78º to the right of vertical (the plane's speed vector).

At the end, we have a line 21 km/h at an angle of 180 (from north), a vertical down from the end of the plane's vector. This vertex is angle B

This makes a triangle with the interior angle B of 78º.

The 3rd side is the ground speed which we can find using the Cosine rule:

b² = a² + c² - 2•a•c•cos(78)

b² = 134² + 21² - 2•134•21•cos(78)

b² = 17226.873

b = 131.25 km/h

The true course bearing" is the ground track. Thus;

Using the Sine rule to find angle A, we have;

(sin(A))/34= sin(78)/b

Thus,

sin(A) = (34 x sin(78))/131.25

sin(A) = 0.2534

A = sin^(-1)0.2534

A = 14.68º

Ground track = A + 78 = 14.68 + 78 = 92.68º

8 0
3 years ago
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