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Alexxx [7]
2 years ago
5

What’s the distance ?

Mathematics
1 answer:
Aleksandr [31]2 years ago
7 0

Answer:

3

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

(4,2), (5, 5)

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}

Substitute the endpoints of the line into the formula and solve for the distance between the points,

D=\sqrt{(4-5)^2*(2-5)^2}

Simplify, solve for the distance between the two points,

D=\sqrt{(4-5)^2*(2-5)^2}

D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3

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1:2

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3 years ago
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
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The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

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The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

4 0
1 year ago
Which function has a greater rate of change?
omeli [17]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

I'm the first one to answer to mark me Brainless!

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