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2 years ago

What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?

1 answer:

6 0

$The\ perfect\ scuare:(a+b)^2=a^2+2ab+b^2\\------------------\\\\x^2+2x\to a=x;\ 2ab=2xb\to b=1\\\\therefore\\\\x^2+2x\cdot1+1^2=x^2+2x+\boxed{1}\leftarrow\boxed{A}$

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Step-by-step explanation:

<em>See attached.</em>

The intersection of the lines is the solution.

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(2, 3.5) or (2, 3) if integer values are required

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2 years ago

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2 years ago

Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i

lana66690 [7]

In the $x,y$ plane, we have $z=0$ everywhere. So in the equation of the sphere, we have

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In the $x,z$ plane, we have $y=0$ , which gives

$25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75$

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In the $y,z$ plane, $x=0$ , so

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