Answer:
The answer is
<h3>center = ( - 7 , - 1)</h3><h3>radius = 6</h3>
Step-by-step explanation:
The general equation of a circle is given by
<h3>x² + y² + 2gx + 2fy + c = 0</h3>
where the center of the center of the circle is given by
<h3>( - g , - f)</h3>
From the question the equation is
x² + y² + 14x + 2y + 14 = 0
Comparing with the general equation above we have
2g = 14 2f = 2
g = 7 f = 1 c = 14
So the center of the circle is
<h3>( - 7 , - 1)</h3>
The radius of a circle is given by
where
g = 7
f = 1
c = 14
Substitute the values into the above formula
That's
we have the final answer as
<h3>radius = 6</h3>
Hope this helps you
Answer: See Explanation
Step-by-step Explanation: The L shaped figure, ignoring the track-like image inside, is the same as the rectangle with just the 4 x 10 section removed.
36
+57
------
93
On a number line: Start at 0. Count forward until you reach 36. Once you've reached 36, Mark it. Then you go forward 57, from the mark you made at 36. You should end up on 93 on the number line.
If the corresponding sides of two similar triangles have congruent angles than the sides correspond to each other
in triangle abc
and triangle def
ab:de
bc:ef
ca:fd
so they correspond in ratio but are not necessarily congruent
if in the similar triangles the sides are equal than the angles will correspond in ratio to add up to 180 degrees
so if triangle abc≈ triangle def
then
∠abc:∠def
∠bca:∠efd
∠cab:∠def
It will be C. Oranges, $0.50 each; Bananas $0.10 each.
