3 years ago

Find the distance between the point (3,1) and the line with the equation y=2x-5

Mathematics

1 answer:

True [87]3 years ago

3 0

Answer:

B: 0

Step-by-step explanation:

Note that (3, 1) satisfies the equation y = 2x - 5:

1 = 2(3) - 5

1 = 6 -5 = 1

Therefore, the distance between this point and this line is zero.

B is the correct answer.

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4 years ago

The function f(t) = 5 cos(pi over 6t) + 7 represents the tide in Stanley Sea. It has a maximum of 12 feet when time (t) is 0 and

Juliette [100K]

The function for the height is
$f(t) = 5cos( \frac{ \pi }{6} t)+7$

f(0) = 5 cos(0) + 7 = 5 + 7 = 12 (verified)
The period is T = 12 hours.

After 4 hours (t = 4), the height is
$f(4) = 5cos( \frac{ 4\pi }{6} )+7 = 5*(-0.5)+7=4.5$

A graph of f(t) confirms the answer.

Answer: 4.5 ft