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4 years ago

Mai is given these two systems of linear equations to solve:

Mathematics

1 answer:

Sholpan [36]4 years ago

6 0

Answer:

Step-by-step explanation:

System 1 has no solution, and System 2 has infinitely many solutions. Wait, YOUR IN HIGH SCHOOL?! IM IN 8TH GRADE AND IM DOING THIS??!! well, idk how to solve this, but these are the answers.

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A 300$ mountain bike is discounted by 30% and then an additional 10% for shoppers who arrive before 5:00 am.Find the sales price

likoan [24]

Answer:

$180.00

Step-by-step explanation:

300 * .40 = 120

300 - 120 = 180.00

6 0

4 years ago

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

Position of particle A:-

$x(t)=5t-5$

$y(t)=2t-k$

Position of particles B:-

$x(t)=4t$

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

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

8 0

4 years ago

The rational numbers between 16 and 15

Fittoniya [83]

15.1, 15.2, 15.3
-Lucy ☃︎

6 0

3 years ago

Slope of 2/3 and x-intercept of -3

Vilka [71]

Answer:

$\frac{2}{3}$ ,-3

Step-by-step explanation:

7 0

3 years ago

What is the measurement of MKN? Please show all work on how you got your answer

Ronch [10]

Answer:

Step-by-step explanation:

LK = 1

MKN = MK + KN

MK = LK

KN = LK

MK = 1

KN = 1

1 + 1 = 2

MKN = 2

5 0

3 years ago

Read 2 more answers