# auxiarc

 Benutzername auxiarc Punkte 220 Stats Fragen 24 Antworten 56

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auxiarc  04.06.2020, 18:15
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### The initial point of vector a is (−5,1), and its terminal point is (−1,−3).

auxiarc  04.06.2020, 15:52
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### Fourth roots of 6+6√(3i) ? I'd appreciate some help, please:)

auxiarc  04.06.2020, 14:48
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### Polar Equation >> Rectangular Equation

auxiarc  03.06.2020
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### Vector a is expressed in magnitude and direction form as vector a = ⟨√ (33), 130⟩.

auxiarc  01.06.2020
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auxiarc  01.06.2020
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Off-Topic
auxiarc  01.06.2020
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### Sanjay attempts a 49-yard field goal in a football game.

auxiarc  30.05.2020
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auxiarc  20.05.2020
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### Polar Form !!

auxiarc  17.05.2020
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### What is (−2√3−2i) 4 equivalent to?

auxiarc  16.05.2020
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auxiarc  15.05.2020
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auxiarc  14.05.2020
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Use Desmos to graph the points.

Find the slope of the line. Because the slope is positive, and we're trying to find what point intersects with the y-axis, we're going to start from point (3, 11) and end at point (1, 7).

To get from (3, 11) to (1, 7), go down 4, and to the left 2. (or left 2, and down 4 - doesn't matter which way you do it!!)

Using the slope, find your next point going down 4 and to the left 2 of (1, 7).

Your next point should be (-1, 3).

Your y-axis is the line that is vertical, so find the point at which the line you plotted intersects this axis. In this case, an easy way of calculating the intersection would be to find the point between (1, 7) and (-1, 3).

The intersection is (0, 5).

01.06.2020
#1
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Use Desmos to graph each equation, and then count each intersection.

You'll find they intersect at (0,0), (-1.562, -3.808), and (2.562, 16.808).

There are 3 intersections.

01.06.2020
#1
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To solve this problem, I went to Youtube. If you want to follow along and do it, here's the link to the video I used, but if you want an explanation without watching a video, I will do my best to explain below.

Plot the points given. I labeled them KL in the graph below.

As you can see, I have made a lot of side notes. It may be hard to understand at first, but bare with me.

I drew a straight line across from K, and then a straight line down from L, connecting the both into a triangle.

The point I labeled at (?,?) is the point we're trying to find. It's only an APPROXIMATE spot!!!! This is just a visual for your understanding.

To divide the segment into the 5:3 ratio, we must conclude that there's some point that divides x into the ratio 5:3 and there's some point that divides y into the ratio 5:3. (I represented this by putting 5x and 3x, and 5y and 3y.)

Then, we need to think about what the total change in x is from point K (-4, -3) to point L (5, 3). Doing this, we find the distance between the x on each point. So ask yourself what the distance is from -4 to 5.
It is going to be 9. (I represented this on the image, where delta = 9)

Next, we do the same for the distance between y on each point. Ask yourself what the distance is from -3 to 3.
It's going to be 6. (I also represented this on the image too, where delta = 6.)

Now that you understand everything on the graph, you can use the information given to find the point that divides the segment from each point.

Form two equations with x and y from the graph, and then solve. This is not the last step yet, sadly.

5x + 3x = 9

8x = 9

x = 9/8

3y + 5y = 6

8y = 6

y = 6/8

y = 3/4

Using the point (-4, -3), we can use the x and y values to finally determine the point that divides the segment from each point.

Let's label (?,?) as P.

P ( -4 + (5 x (9/8)), -3 + (5 x (3/4)) )

Solve for for point P.

P ( -4 + (5 x (9/8)), -3 + (5 x (3/4)) )

P ( -4 + 5.525, -3 + 3.75 )

P ( 1.625, 0.75 )
OR you can flip it into a fraction.

P ( 13/8 , 3/4 )

The point that divides the segment from each point can be represented at ( 13/8 , 3/4 ).

31.05.2020
#1
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I used https://www.desmos.com/calculator to graph the equations.

The equations intersect at (1,1) and (0,0). So they intersect twice.

30.05.2020