Graph each circle given below right the center and radius of each circle
2 answers:
Answer:
The center of circle is (-3,-2) and radius of circle is √6.
Step-by-step explanation:
We have given an equation of circle.
(x+3)²+(y+2) = 6
We have to plot the graph of circle.
(x-h)²+(y-k)² = r² where (h,k) is center and r is radius of circle.
Given equation is (x-(-3))²+(y-(-2))² = (√6)²
comparing above equation with standard equation, we have
(h,k) = (-3,-2) and r = √6
Hence, the center of circle is (-3,-2) and radius of circle is √6.
Answer:
Center: (-3,-2)
Radius: √6
The graph is attached.
Step-by-step explanation:
The equation of the circle has the form:
Where (h,k) is the point of the center of the circle and r is the radius of the circle.
The equation given in the problem is
Therefore:
h=-3
k=-2
The center is at (-3,-2)
And the radius is:
Then, you can graph it has you can see in the image attached.
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Answer:
She has enough with cups left over.
Step-by-step explanation:
For this equation, it's probably easiest to use improper fractions.
At the start, she has 4 cups, or
, which can be converted to
(which is useful for the next part) by multiplying the numerator and denominator by 2.
When she uses 2 cups, which can be converted to
. When subtracting this from the original, you get
-
=
.
She borrows another cup, or of a cup, which gets added on to the previous result, giving
+
=
.
The recipe calls for 2 cups, which can be converted to
or
.
-
=
, meaning she has
cups left over.
** solving this mainly uses conversion to improper fractions and adding/subtracting fractions, which may be skills you would like to practice. I'm always happy to help!