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3 years ago

Write the standard equation of a circle with center (−4, 0) and radius 3.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

The standard equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

We have the center (-4, 0) → h = -4 and k = 0, and the radius r= 3. Substitute:

$(x-(-4))^2+(y-0)^2=3^2\\\\\boxed{(x+4)^2+y^2=9}$

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Evaluating Algebraic Expression

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So therefore the answer is –42

Step-by-step explanation:

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3 years ago

Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

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$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

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solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

<u><em>Verify each solution</em></u>

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

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Is the solution

4 0

3 years ago

Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,

Lana71 [14]

Answer:

CV for A = 21.8%

CV for B = 15.5%

Step-by-step explanation:

The formula for coefficient of variation is:

CV = Standard Deviation / Mean

So,

For A:

Mean = Sum/No. of items

= 391300/14

=$27950

and

SD = $6085.31

CV for A = 6085.31/27950 * 100

=21.77%

Rounding off to one decimal

CV for A = 21.8%

For B:

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= 43.58/11

=3.96

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SD = 0.615

CV for B = 0.615/3.96 * 100

=15.53%

=15.5% ..

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2 years ago

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daser333 [38]

Answeration:

they are both false

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3 years ago

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nadya68 [22]

It would be D. because the volume of a sphere is 4/2 x pi x radius^3.

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2 years ago

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