3 years ago

Point slope form of (-1,3) & (1,1)

Mathematics

1 answer:

My name is Ann [436]3 years ago

3 0

-2/3

rise over run. plot the points and count.

You might be interested in

A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

2 years ago

I need help with this, please. Any advice would be appreciated.

mote1985 [20]

Answer:

see explanation

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

$S_{n}$ = $\frac{n}{2}$ [ 2a₁ + (n - 1)d ]

where a₁ is the initial value and d the common difference

Given

$S_{n}$ = $\frac{n}{2}$ [ 10 + (n - 1)3 ]

Then by comparison

2a₁ = 10 ( divide both sides by 2 )

a₁ = 4 ← initial value

and d = 3 ← common difference

Thus

$S_{8}$ = $\frac{8}{2}$ [ 10 + (7 × 3) ]

= 4(10 + 21)

= 4 × 31

= 124

8 0

3 years ago

Simplify (x2 16)(x2 16) = ? a. x4 256 b. x4 32 c. x4 32 d. x4 256

vazorg [7]

A, and B look the same so you can choose, but the answer is 256x4

8 0

3 years ago

How did Bill spend longer

JulsSmile [24]

How did bill spend longer .. days ... ? what

7 0

3 years ago

There are 34 cows 22 pigs and 6 horses on a farm write a simplified ratio of pigs to all farm animals

forsale [732]

A simplified ratio would be 11:20

6 0

2 years ago