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Natasha2012 [34]
3 years ago
9

in the first 1/2 mile of the trail, Jayden posts 3 signs that describe local birds. If the signs are equal distance apart , What

is the distance between the second and third sign?
Mathematics
1 answer:
My name is Ann [436]3 years ago
8 0
1/2 of a mile is divided equally into 3 parts- we need to find the distance between the second and third sign.

1/2 x 1/3 is 1/6.

This means that each sign is 1/6th of a mile apart.

If you have further confusions about the question, please feel free to message me and I will help to the best of my ability!

Hope this Helps!
-Sinnamin
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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

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So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

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3 years ago
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