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Olegator [25]
3 years ago
13

What is the distance between (-5,4) and (-1, 4)

Mathematics
2 answers:
Shtirlitz [24]3 years ago
5 0

Answer:

5 units

Step-by-step explanation:

Maurinko [17]3 years ago
4 0

Answer:

The distance is 4 units.

Step-by-step explanation:

If you were to count how many squares until you reach (-1,4) from (-5,4)

Then you would get 4 units.

Hope this helps! :)

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a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1
Virty [35]

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

A plane that travels a distance r, in kilometers, with a bearing of \theta sexagesimal degrees can be represented in standard position by means of the following expression:

\vec r = r\cdot (\sin\theta, \cos \theta) (1)

We can obtain the resulting vector (\vec R) by the principle of superposition:

\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})] (2)

If we know that r_{1} = 5\,km, \theta_{1} = 0^{\circ}, r_{2} = 6\,km, \theta_{2} = 60^{\circ}, r_{3} = 4\,km and \theta_{3} = 120^{\circ}, then the resulting vector is:

\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})

\vec R = (5\sqrt{3}, 6) \,[km]

The magnitude of the resultant is found by Pythagorean theorem:

\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}

And the bearing is determined by the following <em>inverse</em> trigonometric relationship:

\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right) (3)

If we know that R_{x} = 5\sqrt{3}\,km and R_{y} = 6\,km, then the magnitude and the bearing of the resultant is:

\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}

\|\vec R\| \approx 10.536\,km

\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)

\theta_{R} \approx 34.715^{\circ}

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

6 0
2 years ago
Simplify the complex fraction. 2 1/2 / 5/8
lbvjy [14]
First do 2 1/2  /  5/8
 5/2/ 5/8=2/5 * 5/8=1/4
now you can do anything with 1/4 so
your answer is 1/4
5 0
3 years ago
Read 2 more answers
Please help! picture attached :)
Radda [10]

Answer:

y=-3x+4

Step-by-step explanation:

im assuming that you need the equation of the table

to find slope, y2-y1/x2-x1    10-4/-2-0

6/-2=-3   slope=-3  

y=mx+b   just sub in the numbers from a point in the table

10=-3(-2)+b

10=6+b

b=4

y=-3x+b

4 0
2 years ago
What are three collinear points in the figure below?
algol [13]

Answer:

B. W,V,Z

Step-by-step explanation:

Collinear points are two more points in the same plane that lie in a straight line.

From the diagram, Z is the intersection of the two diagonals of quadrilateral VXWY.

The points V, Z and W lie along the same diagonal, hence they are collinear.

The point y, Z, and X also lie along the same diagonal, these are also collinear.

The correct choice is B

7 0
3 years ago
peg and larry purchased "no contract" cell phones. Peg's phone cost $25 plus $0.25 per minute. Larry's phone cost $35 plus $0.20
sukhopar [10]
Do you have a graphing calculator?
4 0
3 years ago
Read 2 more answers
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