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katen-ka-za [31]
2 years ago
11

What is the slope of the line 6x – 2y – 14 = 0?

Mathematics
1 answer:
fredd [130]2 years ago
8 0

Answer:

3

Step-by-step explanation:

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The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.
iris [78.8K]

Answer:

  • L(t) = 727.775 -51.875cos(2π(t +11)/365)
  • 705.93 minutes

Step-by-step explanation:

a) The midline of the function is the average of the peak values:

  (675.85 +779.60)/2 = 727.725 . . . minutes

The amplitude of the function is half the difference of the peak values:

  (779.60 -675.85)/2 = 51.875 . . . minutes

Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.

Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.

Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.

Our formula is ...

  L(t) = 727.775 -51.875cos(2π(t +11)/365)

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b) L(55) ≈ 705.93 minutes

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3 years ago
I really need help i’m going to fail so answer if you can ! <3
Volgvan

Answer:

110

Step-by-step explanation:

you place 30 in the place of X, and it becomes 4×30-10. in PEMDAS, multiplication goes first and 4×30=120. 120-10=110

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Write the equation of the line that is perpendicular to y=2x-7 and passes through the point (6, 5)
Pani-rosa [81]

Answer:

B

Step-by-step explanation:

we are given a equation of a line

we want to figure out the equation of the perpendicular line passes through the <u>(</u><u>6</u><u>,</u><u>5</u><u>)</u><u> </u>points

in order to do so

recall that,

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{m}

we got from our given equation that m=2

because equation of a line is y=mx+b

thus

\displaystyle m_{ \text{perpendicular}} =   - \frac{1}{2}

remember that, when we want to figure out perpendicular line or parallel line we should the formula given by

\displaystyle y -  y_{1} = m(x -  x_{1})

since we got our perpendicular m is -½, x_1=6 and y_1=5, substitute

\displaystyle y -  5 =   - \frac{1}{2} (x -  6)

to get the perpendicular equation you should simplify the above equation to y=mx+b form

distribute -½:

\displaystyle y -  5 =   - \frac{1}{2} x  + 3

add 5 to both sides:

\displaystyle y  =   - \frac{1}{2} x  + 8

hence,

our answer choice is B

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