What is the slope of the line that passes through (0, 1) and (3, 7)? Pleaseeeeeee

Mathematics

1 answer:

Likurg_2 [28]2 years ago

3 0

Answer:

Step-by-step explanation:

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Which ordered pair is the solution to the system of equations?

d1i1m1o1n [39]

$\begin{cases}-3x+4y=-20\\y=x-4\end{cases}\\\\\\-3x+4(x-4)=-20\\\\-3x+4x-16=-20\\\\x-16=-20\quad|+16\\\\x-16+16=-20+16\\\\\boxed{x=-4}\\\\\\y=x-4\\\\y=-4-4\\\\\boxed{y=-8}$

Answer C.

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3 years ago

The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t

kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

$d(t)=20\sin (\frac{\pi}{30}t)+10$

If we consider the position of the person at t = 0, which is:

$d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10$

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t: