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9966 [12]
3 years ago
13

I don't know which statement to start with

Mathematics
1 answer:
notsponge [240]3 years ago
7 0
Always start with the given
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What is the equation for a circle with a center at (-2,-4) that passes through the point (3,8)?
Margarita [4]
Check the picture below.

so, the center of the circle is the midpoint of that diametrical segment, and half that length is the radius.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}\quad ,\quad \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{3-2}{2}~~,~~\cfrac{8-4}{2} \right)\implies \left( \frac{1}{2}~,~2 \right)\impliedby center

\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ -2 &,& -4~) 
%  (c,d)
&&(~ 3 &,& 8~)
\end{array}~~~ 
%  distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{[3-(-2)]^2+[8-(-4)]^2}\implies d=\sqrt{(3+2)^2+(8+4)^2}
\\\\\\
d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13\qquad\qquad \qquad  \stackrel{radius}{\frac{13}{2}}

\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{\frac{1}{2}}{ h},\stackrel{2}{ k})\qquad \qquad 
radius=\stackrel{\frac{13}{2}}{ r}
\\\\\\
\left( x-\frac{1}{2} \right)^2+(y-2)^2=\left( \frac{13}{2} \right)^2\implies \left( x-\frac{1}{2} \right)^2+(y-2)^2=\frac{169}{4}

3 0
3 years ago
Read 2 more answers
Mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Dafna11 [192]

Answer:

54

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
If a roll of vinyl costs 37$ and is a total of 210 sq in how much is each square inch and how to I figure that out?​
fenix001 [56]

Answer:

0.176 $

Step-by-step explanation:

Write a proportion.

37 dollars is to 210 square inches as x dollars is to 1 square inch.

37 $ / 210 in² = x / 1 in²

x ≈ 0.176 $

5 0
3 years ago
What number, besides 8,will give a product of 64 when multiplied times itself
pogonyaev

Answer:

4³

Step-by-step explanation:

  16 x 4

(4 x 4) x 4 = 64

8 0
3 years ago
to get your carpet cleaned in your house, Easy-Clean charges $50 cleaning fee plus $12 per room. write an equation
8_murik_8 [283]
C represents the cost. R represents the number of rooms.
C=50 + 12R
4 0
3 years ago
Read 2 more answers
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