What is the solution set to, "Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each da
1 answer:
Answer:
Katie will collect more than 100 seashells in 5 and a half days.
Step-by-step explanation:
Katie already has 34 seashells in her collection.
Each day, she finds 12 more seashells on the beach.
Let x be the number of days Katie is collecting seashells.
In x days, she will collect 12x seashells.
In total, she will collect seashells.
Katie wants to collect over 100 seashells, so
Solve this inequality. Subtract 34:
Katie will collect more than 100 seashells in 5 and a half days.
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<h3>Answer: E) x^5</h3>
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Explanation:
We simply take half of the exponent 10 to get 5. This applies to square roots only.
So the rule is
A more general rule is
If n = 2, then we're dealing with square roots like with this problem. In this case, a = x and b = 10.
Given:
The focus of the parabola is at (6,-4).
Directrix at y=-7.
To find:
The equation of the parabola.
Solution:
The general equation of a parabola is:
...(i)
Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.
The focus of the parabola is at (6,-4).
On comparing both sides, we get
...(ii)
Directrix at y=-7. So,
...(iii)
Adding (ii) and (iii), we get
Putting in (ii), we get
Putting in (i), we get
Therefore, the equation of the parabola is .