Answer:
The standard form of the equation of the circle is
.
Step-by-step explanation:
A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.
The equation of a circle in standard form is
where <em>r</em> is the radius of the circle, and <em>h</em>, <em>k</em> are the coordinates of its center.
When the center of the circle coincides with the origin
, so

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius <em>r</em>.

Therefore, the standard form of the equation of the circle is
.
Answer:
169 meters
Step-by-step explanation:
52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)
13^2=169 (to find the area you square the length of each side)
The point-slope form:

We have the points (5, -3) and (-2, 9). Substitute:

Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
= Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.

<u>Plug in the volume and the radius.</u>

<u>Simplify</u>

h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
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Answer:

Step-by-step explanation:
All three angles in an equilateral triangle are equivalent, and they sum up to 180°, so each angle measures 60°:
60° = [8x - 44]°
+ 44° + 44°
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![\displaystyle \frac{104°}{8} = \frac{[8x]°}{8} \\ \\ 13° = x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B104%C2%B0%7D%7B8%7D%20%3D%20%5Cfrac%7B%5B8x%5D%C2%B0%7D%7B8%7D%20%5C%5C%20%5C%5C%2013%C2%B0%20%3D%20x)
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