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aalyn [17]
3 years ago
11

Find the length of side x in simplest radical form with a rational denominator. X

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Nxjxixjjxxjxjxjxjxj snznznxjx
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if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none ​
blsea [12.9K]

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

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(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

8 0
3 years ago
A sculptor has just finished creating a large wooden sphere for a sculpture he is working on. The sphere has a radius of 4.3 fee
Licemer1 [7]
Density = mass/volume

the mass is 10578.9 pounds

the volume of a sphere is v = 4/3 πr^3

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the final density is 31.76!!
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Step-by-step explanation:

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