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Assoli18 [71]
3 years ago
6

Determine another point on the line given two points on the line. (0,5), (4,1)

Mathematics
2 answers:
labwork [276]3 years ago
7 0

Answer:

(2,3)

Step-by-step explanation:

I did this on a graphing calculator

kumpel [21]3 years ago
5 0

Answer:

(3,2)

Step-by-step explanation:

If you take y2 and y1, subtract them, then x2 and y1 and subtract them you will get your slope.

1-5=-4

4-0=4

Divide -4/4 and you will get -1.

-1 is your slope so if you graph the two dots and use -1 in both directions, vertically and horizontally on the line you can use any of those points.  I got (3,2) by going left then up 1 to (4,1).

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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Plz help im taking a quiz & im stuck 10 points!!!!!!!!!!!!!!!!!!
Delvig [45]

Answer:

Thanks for asking!

Step-by-step explanation:

The answer is D

5 0
3 years ago
Find the value of each variable in the parallelogram
melomori [17]

Alright.

For 7, you'll want to put congruent sides equal to each other, assuming they are parallelograms. So, you'll get the two equations:

3x+2=23

2y-7=9

Solve using GEMDAS/PEMDAS, and you'll get these answers.

3x+2=23

3x=21

x=7

2y-7=9

2y=2

y=1

For 8, you'll want to do the exact same thing, formatting the numbers to equal each other. You'll get these two equations:

3y+5=14

2x-5=17

Solving them would make:

3y+5=14

3y=9

y=3

2x-5=17

2x=22

x=11

For 9, you have to remember that the angle opposite of one angle in a defined parallelogram are congruent. Thus:

130=2h

5k=50

solve them and you get

h=65

k=10

___________________________________________

Hope that helped. Good luck.

5 0
3 years ago
Read 2 more answers
In this picture, m∠PQR = 161° and m∠SQR = 38°. If m∠PQS = (2x + 15)°, what is the value of x?
elena55 [62]

Answer:

B

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
HELPPPP!!! ASAPPPPP!!!
LenaWriter [7]
What are the rest of the options?
8 0
3 years ago
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