Answer:
Step-by-step explanation:
The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . . . . center at (h, k), radius r
Divide your given equation by 2 to put it into standard form:
(x +3)^2 +y^2 = 16
Comparing to the above, we see ...
The center point of the circle is (-3, 0); the radius is 4 units long.
Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
Step-by-step explanation:
As we know the equation of a line in a slope-intercept form of an equation is

Here,
so
substituting the point (4,7) and slope m=0




Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:



<span><span>C=(<span>x0</span>,<span>y0</span>,<span>z0</span>)</span><span>C=(<span>x0</span>,<span>y0</span>,<span>z0</span>)</span></span><span> and radius </span><span>rr</span>.
<span><span>(x−<span>x0</span><span>)2</span>+(y−<span>y0</span><span>)2</span>+(z−<span>z0</span><span>)2</span>=<span>r2</span></span><span>(x−<span>x0</span><span>)2</span>+(y−<span>y0</span><span>)2</span>+(z−<span>z0</span><span>)2</span>=<span>r2</span></span></span><span> </span>
Why would we need 3.14 as pi? The answer is 45/10 = 4.5 inches.