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Mathematics

1 answer:

Mama L [17]3 years ago

5 0

I hope this helps you

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While passing a slower car on the highway, i accelerate uniformly from 12 m/s to 24 m/s in a time of 10.0s. How far do you trave

Taya2010 [7]

You say that there is uniform acceleration so:

vf-vi=at (final velocity minus initial velocity is equal to acceleration times time)

We know vf, vi, and t so we can solve for acceleration:

24-12=a10

12=10a

a=1.2

That is the acceleration, we will need to integrate with respect to time twice...

v=⌠a dt

v=at+vi , we know a=1.2m/s^2 and vi=12m/s

v=1.2t+12,

x=⌠1.2t+12 dt

x=1.2t^2/2+12t+xo, we can just let xo=0 for this problem...

x(t)=0.6t^2+12t

Now we know that this acceleration lasts for 10 seconds so the distance traveled in that time is:

x(10)=0.6(10^2)+12(10)

x(10)=60+120

x(10)=180 meters

6 0

2 years ago

Solve the system of linear equations by elimination 2x+7y=1 2x-4y=12

pishuonlain [190]

$\left\{\begin{array}{ccc}2x+7y=1\\2x-4y=12&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+7y=1\\-2x+4y=-12\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad11y=-11\qquad\text{divide both sides by 11}\\.\qquad\qquad \boxed{y=-1}\\\\\text{Put the value of y to the first equation:}\\\\2x+7(-1)=1\\2x-7=1\qquad\text{add 7 to both sides}\\2x=8\qquad\text{divide both sides by 2}\\\boxed{x=4}\\\\Answer:\ \boxed{x=4\ and\ y=-1\to(4,\ -1)}$

3 0

3 years ago

In the table, the relation (x, y) is not a function if the missing value of x is ___

ryzh [129]

Answer:

6 is a answer

Step-by-step explanation:

if it is x 3+3 is equal to 6

if it is 10+10 is equal to 20

4 0

2 years ago

99 Points!

patriot [66]

Simple...

you have:

1.) Find the slope of the line using (-2,1) and (3,6)

Using $\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$

$\frac{1-6}{-2-3} = \frac{-5}{-5}$

m=1 (slope)

2.)Tell whether the equation, 8y+3=5x+3, is a direct variation.

y= $\frac{5x}{8}$ (None)

3.)What is the slope and y-intercept of the graph of the equation y=2x+3?

Slope =2

y-intercept=3

C.

Thus, your answer.

3 0

2 years ago

Which is the best option?

rusak2 [61]

Answer:

A would have to be the best answered all the all ones dont seen right

6 0

1 year ago