3 years ago

What is a standard form equation of a circle

Mathematics

1 answer:

Gre4nikov [31]3 years ago

7 0

Answer:

360 degrees

Step-by-step explanation:

Its Easy Geometry

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5/12 + 2/3 <br> Please help

AnnZ [28]

Answer:

The answer is 1 and 1/12 you can’t simplify the problem but this is the answer

Step-by-step explanation:

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2 years ago

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

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

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

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3 years ago

Chloe has a box that is 15 cm long, 4 cm wide, and 9 cm tall. How many 1 cm by 1 cm by 1 cm dice can Chloe fit into the box?

ElenaW [278]

540 dice should fit into the box

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3 years ago

The table shows the steps for solving the given inequality for x. 7x+16<−5(4−5x)7x+16<−5(4−5x) Select the reason for each

Hoochie [10]

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3 years ago

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timurjin [86]

24+12x is the answer

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3 years ago