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Andru [333]
3 years ago
10

The equation below describes a circle. what are the coordinates of the center of the circle?

Mathematics
1 answer:
k0ka [10]3 years ago
7 0
Since, the equation involved is a circle let us clearly write the equation first:
(x+5)^2+(y+2)^2=21^2

From the standard equation of the circle:
(x-h)^2+(y-k)^2=r^2
(h,k)=(x,y)

So from the equation given above, our x would be -5, and our y is equivalent to -2.
So the center of our circle is located at the point (-5,-2)
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What is 5.5-x=-4.5-x
konstantin123 [22]
<h3>Simplifying </h3>

5.5 + -1x = -4.5 + -1x

<h3> Add 'x' to each side of the equation. </h3>

5.5 + -1x + x = -4.5 + -1x + x

<h3> Combine like terms: </h3>

-1x + x = 0

5.5 + 0 = -4.5 + -1x + x

5.5 = -4.5 + -1x + x

<h3> Combine like terms:</h3>

-1x + x = 0

5.5 = -4.5 + 0

5.5 = -4.5

<h3> Solving: </h3>

5.5 = -4.5

<h3> This equation is invalid, the left and right sides are not equal, therefore there is no solution.</h3><h3 />

Hope this helps!

3 0
4 years ago
Read 2 more answers
Finally, suppose m1→∞, while m2 remains finite. what value does the the magnitude of the tension approach?
Anna007 [38]
The answer is not infinity. 
<span>Consider FBDs of each mass with the direction of motion of m1 as positive </span>

<span>m1*g-T=m1*a </span>

<span>T-m2*g=m2*a </span>

<span>assuming mass less cord and mass less, friction less pulley </span>
<span>the accelerations are equal </span>
<span>a=(T-m2*g)/m2 </span>

<span>m1*g-T=m1*(T-m2*g)/m2 </span>
<span>do some algebra </span>
<span>m1*g-T=m1*T/m2-m1*g </span>
<span>2*m1*g=T*(1+m1/m2) </span>
<span>2*m1*m2*g=T*(m2+m1) </span>
<span>2*m1*m2*g/(m2+m1)=T </span>
<span>now take the limit of T as m1->infinity </span>
<span>T=2*m2*g </span>

<span>this is intuitively correct since the maximum acceleration of m1 is -g, the cord transfers the acceleration to m2, which is being acted on by gravity downward and an upward acceleration of g. Therefore the maximum acceleration of m1 is 2*g upward. </span>
5 0
3 years ago
If you flip two fair coins, what is the probability of flipping heads on the first coin and tails on the second coin?
vampirchik [111]

Answer:

I believe 25%

Step-by-step explanation:

There are four equally likely outcomes: HH, HT, TH and TT. Of these, one of these match the criterion given ("the first will come up heads and the second tails”). So the probability is 1/4= 25%.

6 0
3 years ago
What are the slope and the y-intercept of the linear function that is represented by the equation y - 9x-27?
kakasveta [241]

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

hope this helps

6 0
3 years ago
Solve for t.<br> -18 = 6t<br><br> A. t = -3<br><br> B. t = -1/3<br><br> C. t = 12<br><br> D. t = 24
dangina [55]

Answer:

A) t = -3

Step-by-step explanation:

-18 = 6t

divide both sides of the equation by 6

-18/6 = 6t/6

-18/6 = t

-3 = t

6 0
3 years ago
Read 2 more answers
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