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quester [9]
3 years ago
11

Can someone help me, please?solve for

1" title="\sqrt{-9k}=\sqrt{16-k}" alt="\sqrt{-9k}=\sqrt{16-k}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

Answer:

k = -2.

Step-by-step explanation:

Squaring  both sides -9k = 16 - k

Add k to both sides:

-8k = 16

Divide both sides by -8:

 k = -2.

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Answer:

Option A. The volume of the sphere is multiplied by 1/343.

Step-by-step explanation:

The volume of a sphere can be obtained by the following formula:

V = 4/3πr^3

Let the initial volume (V1) of the sphere be:

V1 = 4/3πr^3 = (4πr^3)/3

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Now we determine the ratio of V2 : V1 as shown below:

V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3

V2/V1 = (4πr^3)/1029 × 3/(4πr^3)

V2/V1 = 3/1029

V2/V1 = 1/343

V2 = 1/343 x V1

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