If (x+2)^2+(y-5)^2=25 is the equation of a circle, which statement describes the circle's graph?
1 answer:
Answer:
B
Step-by-step explanation:
The standard form of a circle is
where h and k are the coordinates of the center of the circle and the radius is squared. The radius is easy...take the square root of 25 to get that the radius is 5. Since the pattern for the standard form is "x-" and "y-", if (x+2)^2 is the horizontal placement of the center, it actually was originally written as (x-(-2))^2, so the h coordinate is -2. Same goes for the vertical movement of the center. (y-(5))^2 means that the k coordinate is a positive 5.
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Step-by-step explanation:
1) c
2) c
use the value of slope and the coordinates and substitute in the equation of line.
To isolate m, we'll multiply both sides by 8.
We go from m/8 < 4 to m < 32
This describes any number smaller than 32. We aren't including 32 itself, so we have an <u>open circle</u> at 32 on the number line. The <u>shading is to the left</u> since everything to the left of 32 is smaller than 32.
