3 years ago

F(x)=(1/4)^x what is the y-intercept common ratio

1 answer:

6 0

See attached graph.

The y-intercept is (0, 1), since the line is at that point when it intersects with the y-axis.

The common ratio is 1/4, since the y value multiplies by 1/4 for each unit on the x-axis.

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Step-by-step explanation:

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Maurinko [17]

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3 years ago

Find the distance between the two points in simplest radical form. (1, -7) and (7,0)

denis23 [38]

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

$\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }$

We are defined our two points as:

(x₁, y₁) → (1, -7)
(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1
y₁ = -7
x₂ = 7
y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

$\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}$

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

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2 years ago

Read 2 more answers

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IgorLugansk [536]

Answer:

Step-by-step explanation:

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2 years ago