The standard form for the equation of a circle is :
<span><span> (x−h)^2</span>+<span>(y−k)^2</span>=r2</span><span> ----------- EQ(1)
</span> where handk are the x and y coordinates of the center of the circle and r<span> is the radius.
</span> The center of the circle is the midpoint of the diameter.
So the midpoint of the diameter with endpoints at (2,-5)and(8,-9) is :
((2+(8))/2,(-5+(-9))/2)=(5,-7)
So the point (5,-7) is the center of the circle.
Now, use the distance formula to find the radius of the circle:
r^2=(2−(5))^2+(-5−(-7))^2=9+4=13
⇒r=√13
Subtituting h=5, k=-7 and r=√13 into EQ(1) gives :
(x-5)^2+(y+7)^2=13
Answer:
24 pizzas
Step-by-step explanation:
$1200/$50
Answer:
Step-by-step explanation:
The formula of an area of a rectangle:
<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
We have
Substitute:
Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>
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combine like terms
6081 divided by 47 equals
129 with a remainder of 18
Answer:
Choice A
Step-by-step explanation:
This is because you just need to find Angle AGE, and you have found x. You find this by adding up 51 plus 90, and subtracting it from 180, to get it, because those three top angles are supplementary.
