2 years ago

5 m3 m6m8mwhat is the S.A.?

Mathematics

1 answer:

Sergio [31]2 years ago

8 0

Answer:

Step-by-step explanation:

i am not sure

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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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2 years ago

Solve the equation using square roots. x2 + 5 = 41

Stells [14]

X*2 +5 =41
Subtract 5 from both sides
X*2=36

Square root of 36 is 6

X=6

Solve

6*2+5 =41
This’s correct!

3 0

2 years ago

Read 2 more answers

Put these in order, using brackets and set notation.<br> 3/5, 3/2, 3/7, 3/10, 1/3

jenyasd209 [6]

[3/2][1/3][3/5][3/7][3/10]

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2 years ago

60 is 40 percent of what number

nydimaria [60]

240 plz like my awnser it would mean alot

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2 years ago

Name two consecutive odd integers that have a sum of 20??

xxTIMURxx [149]

11 + 9
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2 years ago

5 m3 m6m8mwhat is the S.A.?​

5 m3 m6m8mwhat is the S.A.?