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TiliK225 [7]
3 years ago
8

What is the slope slope of a line that is perpendicular to the line represented by the equation y-5x=5 ?

Mathematics
2 answers:
Oliga [24]3 years ago
8 0

Answer: m=\dfrac{-1}{5}

Step-by-step explanation:

We know that the general intercept form of equation of line is given by :-

y=mx+c, where m is the slope of the line.

The given equation of line : y-5x=5

Subtract 5x both sides, we get

y=5x+5

On comparing the equation to the general intercept form of equation of line , we get

Slope =5

Since the product of slopes of perpendicular lines is -1.

Then the slope of line that is perpendicular to the given equation will be :-

m=\dfrac{-1}{5}

Rzqust [24]3 years ago
6 0
You have to divide the 5 and 5x by 5 add your variables together in alpha order=1
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Seven more than double a number one is equal to five less than triple that number. What is that number?
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-\frac{2}{5}

Step-by-step explanation:

7+2n=5-3n

2n+3n=5-7\\5n=-2\\n=-\frac{2}{5}

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The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).
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Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

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Waves with an amplitude of 2 feet pass a dock every 30 seconds. Write an equation for a cosine function to model the height of a
kolbaska11 [484]

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

\left | a \right | = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude \left | a \right | = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

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The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

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Answer:

Step-by-step explanation:

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