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makvit [3.9K]
3 years ago
15

The geometric mean of 4 and 16 is ______. 64 16 12 8

Mathematics
1 answer:
Leni [432]3 years ago
3 0
The geometric mean of x and y is \sqrt{xy}.

So the geometric mean of 4 and 16 is \sqrt{4\times16}=\sqrt{64}=8.
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Y = x2 - 6x - 8
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Which function has the greater maximum value: f(x) = -2x2 + 8x-1, or g(x),
aleksklad [387]

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2 years ago
Evaluate the expression: −(8 − 12) + 60 + (−4)2.<br> A) 13<br> B) 20<br> C) 21<br> D) −11
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Answer:

56.

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3 years ago
Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2
kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is x=-83.25

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

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

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

x=y^{2} +18y-2

Convert to standard form

x+2=y^{2} +18y

x+2+81=y^{2} +18y+81

x+83=(y+9)^{2}

so

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

so

The vertex is the point (-83,-9)

step 2

we have

x+83=(y+9)^{2}

<em>Find the value of p</em>

4p=1

p=1/4

<em>Find the focus</em>

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

x=h-p

substitute

x=-83-1/4

x=-83.25

6 0
3 years ago
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