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noname [10]
3 years ago
8

What is an angle that is adjacent to AEB

Mathematics
1 answer:
umka21 [38]3 years ago
6 0
One of them should be
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Two particles move in the xy-plane. At time t, the position of particle A is given by x(t)=5t−5 and y(t)=2t−k, and the position
Ipatiy [6.2K]

Answer:

Part A)  Not collide

Part B)  k = 4

Part C)  Particle B is moving fast.

Step-by-step explanation:

Two particles move in the xy-plane. At time, t

<u><em>Position of particle A:-</em></u>

x(t)=5t-5

y(t)=2t-k

<em><u>Position of particles B:-</u></em>

x(t)=4t

y(t)=t^2-2t+1

Part A)  For k = -6

Position particle A, (5t-5,2t+6)

Position of particle B, (4t,t^2-2t-1)

If both collides then x and y coordinate must be same

Therefore,

  • For x-coordinate:

5t - 5 = 4t    

       t = 5

  • For y-coordinate:

2t+6=t^2-2t-1

t^2-4t-7=0

t=-1.3,5.3

The value of t is not same. So, k = -6 A and B will not collide.

Part B) If both collides then x and y coordinate must be same

  • For x-coordinate:

5t - 5 = 4t    

       t = 5

  • For y-coordinate:

2t-k=t^2-2t-1

Put t = 5

10-k=25-10-1

k=4

Hence, if k = 4 then A and B collide.

Part C)

Speed of particle A, \dfrac{dA}{dt}

\dfrac{dA}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}

\dfrac{dA}{dt}=2\cdot \dfrac{1}{5}\approx 0.4

Speed of particle B, \dfrac{dB}{dt}

\dfrac{dB}{dt}=\dfrac{dy}{dt}\cdot \dfrac{dt}{dx}

\dfrac{dB}{dt}=2t-2\cdot \dfrac{1}{4}

At t = 5

\dfrac{dB}{dt}=10-2\cdot \dfrac{1}{4}=2

Hence, Particle B moves faster than particle A

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3 years ago
In a clinical​ trial, 21 out of 700 patients taking a prescription drug complained of flulike symptoms. Suppose that it is known
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Answer:

I don't knowhhhdchdhgdcsjfjdjcfjc

4 0
3 years ago
-5+4(7+k) please help with this equation!
Alex

Answer:

4k+ 23

Step-by-step explanation:

3 0
3 years ago
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The sum of the measures of two angles is 180 degrees. One angle measures 3a and the other angle measures 2a-25 Find a. Then find
e-lub [12.9K]
The sum of the angles equal 180 degrees, so we plug the angle values into an equation:
3a + 2a - 25 = 180.
By combining like terms, this becomes:
5a - 25 = 180
Now, if we add 25 to both sides to isolate a, we get:
5a = 205
Finally, we need to divide both sides by 5 to find a, and we get:
a = 41

Yay! Now we have a. Now we just plug them into the original values! So:
2(41) - 25
Multiply out:
82 - 25
The first angle is equal to 57.

Then we use the second angle:
3(41)
Multiply out:
123
The second angle is equal to 123.

Hope this helps!
~Chrys

8 0
4 years ago
Suppose y varies directly as x. if y=-7 when x=-14, find x when y=10
solniwko [45]

Answer:

20

Step-by-step explanation:

From if y=-7 when x=-14 ---->  x=2y

that means when y=10, x=20

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3 years ago
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