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3 years ago

Find an equation of the line through (4,5) and parallel to y=3x+5.

Mathematics

1 answer:

melisa1 [442]3 years ago

3 0

GIVEN: y = 3x + 5

--> slope of given line = 3

--> This means that your equation must have the same slope, or "m"

FORMULA OF A LINE: y = mx + b

--> Use point-slope form to find "b"

POINT SLOPE FORM: y - y₁ = m ( x - x₁ )

--> Plug in your given point AND the slope of the given line

y - 5 = 3 ( x - 4 )

y - 5 = 3x - 12

y = 3x - 7

<h3>ANSWER: y = 3x - 7</h3>

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3 years ago

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Romashka [77]

Answer:

The $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

Step-by-step explanation:

The given function is

$f(t)=-\frac{1}{2}\sin (3t-2\pi)$ .... (1)

The general form of sine function is

$F(t)=A\sin (Bt-C)+D$ ....(2)

where, |A| is the amplitude, B is period, D is the vertical shift (up or down), and C/B is used to find the phase shift.

On comparing (1) and (2), we get

$A=-\frac{1}{2}$

$B=3$

$C=2\pi$

$D=0$

So,

$amplitude=|A|=\frac{1}{2}$

$period=3$

$\text{phase shift}=\frac{2\pi}{3}$

Therefore $amplitude=|A|=\frac{1}{2}$ , $period=3$ and $\text{phase shift}=\frac{2\pi}{3}$ .

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3 years ago

I need help! I don't know how to get the answer or what it is. Can anyone help me it's for a test and I'm on my last attempt?

Greeley [361]

Answer:

See explanation

Step-by-step explanation:

(4)

Using the sine ratio in the right triangle

sinΘ = $\frac{opposite}{hypotenuse}$ = $\frac{7}{9}$ , thus

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(5)

Using the tangent ratio in the right triangle

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3 years ago

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Ivanshal [37]

Answer:

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Step-by-step explanation:

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3 years ago

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k0ka [10]

Answer:

Step-by-step explanation:

Let's start by decoding this :)

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2 years ago