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Inessa05 [86]
3 years ago
9

What is the vertex if the function f(x)=-x^2-2x-1

Mathematics
1 answer:
Mila [183]3 years ago
7 0

Vertex=(-1,0)

x^2-2x-1

y=− ( x + 1 )^2 + 0

Use the vertex form, y=a(x−h)^2+k, to determine the values of a, h, and k.

Find the vertex (h,k) = (-1,0)

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4!! Because it makes the most sense
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3 years ago
Sherman goes golfing every 6th day and Brad goes golfing every 7th Day​
VashaNatasha [74]

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3 0
3 years ago
15 points!!!<br>kinda rusty with triangles. scratch that. really rusty.<br><br>​
velikii [3]

Consider the attached figure. The height CD cuts the triangle exactly in half. This means that

\overline{AD}=\overline{BD}=\dfrac{1}{2}\overline{AB}=10

Moreover, since CD is the height of the triangle, we know that ACD is a right triangle. We know the hypothenuse AC to be 20 feet because it is a side of the triangle, and we just found out that AD is 10. We can use the pythagorean theorem to deduce

\overline{CD}=\sqrt{\overline{AC}^2-\overline{AD}^2}=\sqrt{400-100}=\sqrt{300}

So, the area is

A=\dfrac{bh}{2}=\dfrac{\overline{AB}\cdot\overline{CD}}{2} = \dfrac{20\cdot\sqrt{300}}{2}=10\sqrt{300}\approx 173

3 0
3 years ago
Read 2 more answers
3. Every time Deucalion threw one stone over his shoulder, eight people sprang
kvv77 [185]

Answer:

1156

Step-by-step explanation:

When Deucalion threw one stone over his shoulder, 8 people appear. So, for every stone, we have 8 new people.

Therefore, if Deucalion threw 68 stones, the number of people that would appear is

n_1=68\cdot 8 =544

Instead, when Phyrra threw a stone, 9 people appear. So, for every stone, we have 9 new people.

Therefore, if Phyrra threw 68 stones, the number of people that would appear is

n_2=68\cdot 9 =612

And so, we can now calculate the total number of people that appear after each had thrown 68 stones:

n=n_1+n_2=544+612=1156

6 0
3 years ago
Why is it important to avoid a smaller sample size?
Nitella [24]

Answer:The importance of sample size calculation cannot be overemphasized. A research can be conducted for various objectives. A smaller sample will give a result which may not be sufficiently powered to detect a difference between the groups and the study may turn out to be falsely negative leading to a type II error.

5 0
3 years ago
Read 2 more answers
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