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I am Lyosha [343]
3 years ago
15

Help pleaseee what are the answers to these questions??

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

huhhhhh where is the question

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find the equation of the circle where (-9,4),(-2,5),(-8,-3),(-1,-2) are the vertices of an inscribed square.
solniwko [45]
Check the picture below, so, that'd be the square inscribed in the circle.

so... hmm the diagonals for the square are the diameter of the circle, and keep in mind that the radius of a circle is half the diameter, so let's find the diameter.

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -2}}\quad ,&{{ 5}})\quad 
%  (c,d)
&({{ -8}}\quad ,&{{ -3}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
\stackrel{diameter}{d}=\sqrt{[-8-(-2)]^2+[-3-5]^2}
\\\\\\
d=\sqrt{(-8+2)^2+(-3-5)^2}\implies d=\sqrt{(-6)^2+(-8)^2}
\\\\\\
d=\sqrt{36+64}\implies d=\sqrt{100}\implies d=10

that means the radius r = 5.

now, what's the center?  well, the Midpoint of the diagonals, is really the center of the circle, let's check,

\bf \textit{middle point of 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -2}}\quad ,&{{ 5}})\quad 
%  (c,d)
&({{ -8}}\quad ,&{{ -3}})
\end{array}\qquad 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-8-2}{2}~,~\cfrac{-3+5}{2} \right)\implies (-5~,~1)

so, now we know the center coordinates and the radius, let's plug them in,

\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{ k}})\qquad 
radius=&{{ r}}\\
&-5&1&5
\end{array}
\\\\\\\
[x-(-5)]^2-[y-1]^2=5^2\implies (x+5)^2-(y-1)^2=25

8 0
3 years ago
Help please! Will give brainlest!
stira [4]
The answer is 17/22 17/20 because of the fractions
6 0
3 years ago
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The point which divides the line segment joining the points (2, -6) and (3, 4) in the ratio 1 : 2 internally lies in the
ludmilkaskok [199]
According to someone else on brainly it says he point which divides the line segment joining the points 8,-9 and 2,3 in the ratio 1:2 internally lies in the quadrant
8 0
3 years ago
Hello please help me as this is the last question on my test and then I’m done so it would be great if u can tell me if the answ
elena55 [62]

Answer:

<em>B) Parallellogram </em>

Step-by-step explanation:

Parallelograms are quadrilaterals where all of the opposite sides are parallel and equal.

Hope this helped, let me know if you need anything else ^-^

5 0
3 years ago
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BRAINLIEST IF CORRECT PLEASE USE WORK!
ladessa [460]

Answer:


To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept: (− 45 , 0 )

y-intercept:  ( 0 , − 15 )

7 0
3 years ago
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