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Mathematics

1 answer:

lys-0071 [83]3 years ago

3 0

Answer:

$x^2 + 10x + y^2 -4y + -7 = 0$

Step-by-step explanation:

For any circle point with coordinate of center (a,b) and radius r

equation of circle is given by

$(x-a)^2 + (y-b)^2 = r^2$

_______________________________________

Given

coordinate of center = (-5,2)

radius = 6

thus, equation of circle can be written by substituting a and b with (-5 ,2) and r =6 as shown below

$(x-a)^2 + (y-b)^2 = r^2\\(x-(-5))^2 + (y-2)^2 = 6^2\\x^2 + 10x + 25 + y^2 -4y + 4 = 36\\=>x^2 + 10x + y^2 -4y + 29 = 36\\=>x^2 + 10x + y^2 -4y + 29 -36 = 36 -36\\=>x^2 + 10x + y^2 -4y + -7 = 0$

Thus, equation of circle is $x^2 + 10x + y^2 -4y + -7 = 0$

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Which do the following most specifically describes a rhombus?? A.a plane figure that is a polygon. B.a quadrilateral with 2 pair

Arisa [49]

Answer:

B. A quadrilateral with 2 pairs of equal length

Step-by-step explanation:

analyzing the options:

A. A polygon is a very general definition (polygon is a figure with 3 or more sides) so it does not specifically describe a rhombus.

B. This option is much more specific to a rhombus than the other two options because it mentions that it is a quadrilateral so it reduces the generality of calling it a polygon, and it also mentions that there are 2 pairs of equal sides which is true for the rhombus (the top and bottom sides are equal, and the sides are also equal). So this option is correct.