Mathematics, 22.11.2019 22:31, jdisalle7486

Find a equation of a circle that has a diameter with endpoints -5,-3 and -11,-3

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answered: mgreenamb

$(x+8)^{2}$ + $(y+3)^{2}$ = $3^{2}$

Step-by-step explanation:

The equation of a circle is given as :

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

Where (a,b) are the coordinate of the center and r is the radius of the circle.

The end point of the diameter is give as (-5, -3 ) and ( -11 , -3 ) , This means that we can find the coordinate of the center by finding the mid point of the end point. The mid point is calculated by :

Mid point = ( $\frac{x_{1}+x_{2}}{2}$ , $\frac{y_{1}+y_{2}}{2}$ )

$x_{1}$ = -5

$x_{2}$ = -11

$y_{1}$ = -3

$y_{2}$ = -3

Substituting this values into the formula for finding mid point , we have

Mid point = ( $\frac{-5 - 11}{2}$ , $\frac{-3 - 3}{2}$

Mid-point = (-8 , -3)

Remember that Radius is half of the diameter , To find the diameter we must find the distance between the two end point using the formula for calculating distance between two points , that is

D = $\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}}$

Substituting the values :

D = $\sqrt{(-11+5)^{2}+(-3+3)^{2}}$

D = $\sqrt{36}$

D = 6

Therefore , The diameter i s 6

And since radius is half of the diameter , radius is thus

r = 6/2

r = 3

So , substituting the values gotten into the equation of circle , we have:

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

$(x+8)^{2}$ + $(y+3)^{2}$ = $3^{2}$

answered: Guest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answered: Guest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

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